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 877/18, 661/610

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 877/18, 661/610 i.e 1/5490 easily. The following is the detailed procedure to determine the greatest common factor of fractions 877/18, 661/610.

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 877/18,661/610?

Given fractions are 877/18,661/610

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 877/18,661/610, numerators are 877,661

Denominators are 18,610

The GCF of 877,661 is 1 .

LCM of 18,610 is 5490.

The greatest common factor of 877/18,661/610 = [GCF of 877,661]/[LCM of 18,610]= 1/5490

Therefore, the GCF of 877/18,661/610 is 1/5490.

Greatest Common Factor of 877,661

To find the highest common factor of 877,661, we have to find the factors of both numbers and list the highest common factor.

The factors of 877 are 1, 877

The factors of 661 are 1, 661

The HCF of 877,661 is 1.

Lets's calculate GCF of 877,661

Greatest Common Factor (GCF) of 877,661 By Common Division

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

Greatest Common Factor of 877,661 By Matching Biggest Common Factor Method

Greatest Common Factor of 877,661 By Matching Biggest Common Factor Method

Now, list down the factors of 877

:

1,877

Now, list down the factors of 661

:

1,661

Greatest Common Factor

We found the factors 877,661 . The biggest common factor number is the GCF number.
So the greatest common factor 877,661 is 1.

Lets's calculate LCM of 18,610

Lowest Common Multiple of 18,610 using Common Division

2 18, 610
9, 305

∴ So the LCM of the given numbers is 2 x 9 x 305 = 5490

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5490

Therefore, the GCF of Fractions 877/18,661/610 is 1/5490

Least Common Multiple of 18,610 with GCF Formula

Least Common Multiple of 18,610 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 18,610 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,610) = 2

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

GCF(18,610) x common factors =2 x 1 = 2

LCM(18,610) = ( 18 × 610 ) / 2

LCM(18,610) = 10980 / 2

LCM(18,610) = 5490


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 877/18, 661/610

1. What is the HCF of 877,661?

The HCF of 877,661 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 877/18, 661/610?

Answer: GCF of Numerators as per given numbers 877/18, 661/610 is

GCF of Numerators i.e. for 877,661 is 1

LCM of denominators i.e. for 18,610 is 5490.

Thus, GCF of Fractions is 1/5490.Finally, GCF of Fractions for 877/18, 661/610 is 1/5490.