LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 876/176, 6569/928

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 876/176, 6569/928 i.e 1/10208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 876/176, 6569/928.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 876/176,6569/928?

Given fractions are 876/176,6569/928

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 876/176,6569/928, numerators are 876,6569

Denominators are 176,928

The GCF of 876,6569 is 1 .

LCM of 176,928 is 10208.

The greatest common factor of 876/176,6569/928 = [GCF of 876,6569]/[LCM of 176,928]= 1/10208

Therefore, the GCF of 876/176,6569/928 is 1/10208.

Greatest Common Factor of 876,6569

To find the highest common factor of 876,6569, we have to find the factors of both numbers and list the highest common factor.

The factors of 876 are 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

The factors of 6569 are 1, 6569

The HCF of 876,6569 is 1.

Lets's calculate GCF of 876,6569

Greatest Common Factor (GCF) of 876,6569 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 876,6569 By Matching Biggest Common Factor Method

Greatest Common Factor of 876,6569 By Matching Biggest Common Factor Method

Now, list down the factors of 876

:

1,2,3,4,6,12,73,146,219,292,438,876

Now, list down the factors of 6569

:

1,6569

Greatest Common Factor

We found the factors 876,6569 . The biggest common factor number is the GCF number.
So the greatest common factor 876,6569 is 1.

Lets's calculate LCM of 176,928

Lowest Common Multiple of 176,928 using Common Division

2 176, 928
2 88, 464
2 44, 232
2 22, 116
11, 58

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 11 x 58 = 10208

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10208

Therefore, the GCF of Fractions 876/176,6569/928 is 1/10208

Least Common Multiple of 176,928 with GCF Formula

Least Common Multiple of 176,928 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 176,928 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(176,928) = 16

common factors(in case of two or more numbers have common factors) = 1

GCF(176,928) x common factors =16 x 1 = 16

LCM(176,928) = ( 176 × 928 ) / 16

LCM(176,928) = 163328 / 16

LCM(176,928) = 10208


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 876/176, 6569/928

1. What is the HCF of 876,6569?

The HCF of 876,6569 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 876/176, 6569/928?

Answer: GCF of Numerators as per given numbers 876/176, 6569/928 is

GCF of Numerators i.e. for 876,6569 is 1

LCM of denominators i.e. for 176,928 is 10208.

Thus, GCF of Fractions is 1/10208.Finally, GCF of Fractions for 876/176, 6569/928 is 1/10208.