How to Find GCF of 6901/312, 7908/9664?

GCF of 6901/312, 7908/9664

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 6901/312, 7908/9664 i.e 1/376896 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6901/312, 7908/9664.

Enter two or more fractions separated by "commas"

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

What is the GCF of 6901/312,7908/9664?

Given fractions are 6901/312,7908/9664

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 6901/312,7908/9664, numerators are 6901,7908

Denominators are 312,9664

The GCF of 6901,7908 is 1 .

LCM of 312,9664 is 376896.

The greatest common factor of 6901/312,7908/9664 = [GCF of 6901,7908]/[LCM of 312,9664]= 1/376896

Therefore, the GCF of 6901/312,7908/9664 is 1/376896.

Greatest Common Factor of 6901,7908

To find the highest common factor of 6901,7908, we have to find the factors of both numbers and list the highest common factor.

The factors of 6901 are 1, 67, 103, 6901

The factors of 7908 are 1, 2, 3, 4, 6, 12, 659, 1318, 1977, 2636, 3954, 7908

The HCF of 6901,7908 is 1.

Lets's calculate GCF of 6901,7908

Greatest Common Factor (GCF) of 6901,7908 By Common Division

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

Greatest Common Factor of 6901,7908 By Matching Biggest Common Factor Method

Now, list down the factors of 6901

1,67,103,6901

Now, list down the factors of 7908

1,2,3,4,6,12,659,1318,1977,2636,3954,7908

Greatest Common Factor

We found the factors 6901,7908 . The biggest common factor number is the GCF number.
So the greatest common factor 6901,7908 is 1.

Lets's calculate LCM of 312,9664

Lowest Common Multiple of 312,9664 using Common Division

2	312, 9664
2	156, 4832
2	78, 2416
	39, 1208

∴ So the LCM of the given numbers is 2 x 2 x 2 x 39 x 1208 = 376896

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/376896

Therefore, the GCF of Fractions 6901/312,7908/9664 is 1/376896

Least Common Multiple of 312,9664 with GCF Formula

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

We need to calculate greatest common factor of 312,9664 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,9664) = 8

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

GCF(312,9664) x common factors =8 x 1 = 8

LCM(312,9664) = ( 312 × 9664 ) / 8

LCM(312,9664) = 3015168 / 8

LCM(312,9664) = 376896

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FAQs on GCF of Fractions of 6901/312, 7908/9664

1. What is the HCF of 6901,7908?

The HCF of 6901,7908 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 6901/312, 7908/9664?

Answer: GCF of Numerators as per given numbers 6901/312, 7908/9664 is

GCF of Numerators i.e. for 6901,7908 is 1

LCM of denominators i.e. for 312,9664 is 376896.

Thus, GCF of Fractions is 1/376896.Finally, GCF of Fractions for 6901/312, 7908/9664 is 1/376896.