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GCF of 9764/771, 6945/7944

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 9764/771, 6945/7944 i.e 1/2041608 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9764/771, 6945/7944.

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 9764/771,6945/7944?

Given fractions are 9764/771,6945/7944

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 9764/771,6945/7944, numerators are 9764,6945

Denominators are 771,7944

The GCF of 9764,6945 is 1 .

LCM of 771,7944 is 2041608.

The greatest common factor of 9764/771,6945/7944 = [GCF of 9764,6945]/[LCM of 771,7944]= 1/2041608

Therefore, the GCF of 9764/771,6945/7944 is 1/2041608.

Greatest Common Factor of 9764,6945

To find the highest common factor of 9764,6945, we have to find the factors of both numbers and list the highest common factor.

The factors of 9764 are 1, 2, 4, 2441, 4882, 9764

The factors of 6945 are 1, 3, 5, 15, 463, 1389, 2315, 6945

The HCF of 9764,6945 is 1.

Lets's calculate GCF of 9764,6945

Greatest Common Factor (GCF) of 9764,6945 By Common Division

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

Greatest Common Factor of 9764,6945 By Matching Biggest Common Factor Method

Greatest Common Factor of 9764,6945 By Matching Biggest Common Factor Method

Now, list down the factors of 9764

:

1,2,4,2441,4882,9764

Now, list down the factors of 6945

:

1,3,5,15,463,1389,2315,6945

Greatest Common Factor

We found the factors 9764,6945 . The biggest common factor number is the GCF number.
So the greatest common factor 9764,6945 is 1.


Lets's calculate LCM of 771,7944

Lowest Common Multiple of 771,7944 using Common Division

3 771, 7944
257, 2648

∴ So the LCM of the given numbers is 3 x 257 x 2648 = 2041608

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2041608

Therefore, the GCF of Fractions 9764/771,6945/7944 is 1/2041608

Least Common Multiple of 771,7944 with GCF Formula

Least Common Multiple of 771,7944 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 771,7944 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(771,7944) = 3

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

GCF(771,7944) x common factors =3 x 1 = 3

LCM(771,7944) = ( 771 × 7944 ) / 3

LCM(771,7944) = 6124824 / 3

LCM(771,7944) = 2041608


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 9764/771, 6945/7944

1. What is the HCF of 9764,6945?

The HCF of 9764,6945 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 9764/771, 6945/7944?

Answer: GCF of Numerators as per given numbers 9764/771, 6945/7944 is

GCF of Numerators i.e. for 9764,6945 is 1

LCM of denominators i.e. for 771,7944 is 2041608.

Thus, GCF of Fractions is 1/2041608.Finally, GCF of Fractions for 9764/771, 6945/7944 is 1/2041608.