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GCF of 7761/210, 9389/637

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 7761/210, 9389/637 i.e 1/19110 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7761/210, 9389/637.

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 7761/210,9389/637?

Given fractions are 7761/210,9389/637

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 7761/210,9389/637, numerators are 7761,9389

Denominators are 210,637

The GCF of 7761,9389 is 1 .

LCM of 210,637 is 19110.

The greatest common factor of 7761/210,9389/637 = [GCF of 7761,9389]/[LCM of 210,637]= 1/19110

Therefore, the GCF of 7761/210,9389/637 is 1/19110.

Greatest Common Factor of 7761,9389

To find the highest common factor of 7761,9389, we have to find the factors of both numbers and list the highest common factor.

The factors of 7761 are 1, 3, 13, 39, 199, 597, 2587, 7761

The factors of 9389 are 1, 41, 229, 9389

The HCF of 7761,9389 is 1.

Lets's calculate GCF of 7761,9389

Greatest Common Factor (GCF) of 7761,9389 By Common Division

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

Greatest Common Factor of 7761,9389 By Matching Biggest Common Factor Method

Greatest Common Factor of 7761,9389 By Matching Biggest Common Factor Method

Now, list down the factors of 7761

:

1,3,13,39,199,597,2587,7761

Now, list down the factors of 9389

:

1,41,229,9389

Greatest Common Factor

We found the factors 7761,9389 . The biggest common factor number is the GCF number.
So the greatest common factor 7761,9389 is 1.

Lets's calculate LCM of 210,637

Lowest Common Multiple of 210,637 using Common Division

7 210, 637
30, 91

∴ So the LCM of the given numbers is 7 x 30 x 91 = 19110

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19110

Therefore, the GCF of Fractions 7761/210,9389/637 is 1/19110

Least Common Multiple of 210,637 with GCF Formula

Least Common Multiple of 210,637 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 210,637 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(210,637) = 7

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

GCF(210,637) x common factors =7 x 1 = 7

LCM(210,637) = ( 210 × 637 ) / 7

LCM(210,637) = 133770 / 7

LCM(210,637) = 19110


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FAQs on GCF of Fractions of 7761/210, 9389/637

1. What is the HCF of 7761,9389?

The HCF of 7761,9389 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 7761/210, 9389/637?

Answer: GCF of Numerators as per given numbers 7761/210, 9389/637 is

GCF of Numerators i.e. for 7761,9389 is 1

LCM of denominators i.e. for 210,637 is 19110.

Thus, GCF of Fractions is 1/19110.Finally, GCF of Fractions for 7761/210, 9389/637 is 1/19110.