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 625/501, 8754/682

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 625/501, 8754/682 i.e 1/341682 easily. The following is the detailed procedure to determine the greatest common factor of fractions 625/501, 8754/682.

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 625/501,8754/682?

Given fractions are 625/501,8754/682

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 625/501,8754/682, numerators are 625,8754

Denominators are 501,682

The GCF of 625,8754 is 1 .

LCM of 501,682 is 341682.

The greatest common factor of 625/501,8754/682 = [GCF of 625,8754]/[LCM of 501,682]= 1/341682

Therefore, the GCF of 625/501,8754/682 is 1/341682.

Greatest Common Factor of 625,8754

To find the highest common factor of 625,8754, we have to find the factors of both numbers and list the highest common factor.

The factors of 625 are 1, 5, 25, 125, 625

The factors of 8754 are 1, 2, 3, 6, 1459, 2918, 4377, 8754

The HCF of 625,8754 is 1.

Lets's calculate GCF of 625,8754

Greatest Common Factor (GCF) of 625,8754 By Common Division

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

Greatest Common Factor of 625,8754 By Matching Biggest Common Factor Method

Greatest Common Factor of 625,8754 By Matching Biggest Common Factor Method

Now, list down the factors of 625

:

1,5,25,125,625

Now, list down the factors of 8754

:

1,2,3,6,1459,2918,4377,8754

Greatest Common Factor

We found the factors 625,8754 . The biggest common factor number is the GCF number.
So the greatest common factor 625,8754 is 1.

Lets's calculate LCM of 501,682

Lowest Common Multiple of 501,682 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 341682

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/341682

Therefore, the GCF of Fractions 625/501,8754/682 is 1/341682

Least Common Multiple of 501,682 with GCF Formula

Least Common Multiple of 501,682 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 501,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(501,682) = 1

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

GCF(501,682) x common factors =1 x 1 = 1

LCM(501,682) = ( 501 × 682 ) / 1

LCM(501,682) = 341682 / 1

LCM(501,682) = 341682


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 625/501, 8754/682

1. What is the HCF of 625,8754?

The HCF of 625,8754 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 625/501, 8754/682?

Answer: GCF of Numerators as per given numbers 625/501, 8754/682 is

GCF of Numerators i.e. for 625,8754 is 1

LCM of denominators i.e. for 501,682 is 341682.

Thus, GCF of Fractions is 1/341682.Finally, GCF of Fractions for 625/501, 8754/682 is 1/341682.