Greatest Common Factor of 7953/901, 3784/812

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7953/901, 3784/812

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 7953/901,3784/812

Given fractions are 7953/901,3784/812

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 7953,3784

Greatest Common Factor of Numerators i.e. GCF of 7953,3784 is 11 .

LCM of Denominators means LCM of 901,812 as per the given fractions.

LCM of 901,812 is 731612 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7953,3784

GCF of Fractions 7953/901,3784/812 is 11/731612

11 7953, 3784
723, 344

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 7953,3784 By Matching Biggest Common Factor Method

Greatest Common Factor of 7953,3784 By Matching Biggest Common Factor Method

Factors of 7953

List of positive integer factors of 7953 that divides 7953 without a remainder.

1,3,11,33,241,723,2651,7953

Factors of 3784

List of positive integer factors of 3784 that divides 3784 without a remainder.

1,2,4,8,11,22,43,44,86,88,172,344,473,946,1892,3784

Greatest Common Factor

We found the factors 7953,3784 . The biggest common factor number is the GCF number.
So the greatest common factor 7953,3784 is 11.

Lets's calculate LCM of 901,812

Given numbers has no common factors except 1. So, there LCM is their product i.e 731612

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/731612

Therefore, the GCF of Fractions 7953/901,3784/812 is 11/731612

Least Common Multiple of 901,812 with GCF Formula

Least Common Multiple of 901,812 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 901,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(901,812) = 1

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

GCF(901,812) x common factors =1 x 1 = 1

LCM(901,812) = ( 901 × 812 ) / 1

LCM(901,812) = 731612 / 1

LCM(901,812) = 731612


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 7953/901, 3784/812

1. 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.

2. What is the GCF of Fractions for 7953/901, 3784/812?

Answer: GCF of Numerators as per given numbers 7953/901, 3784/812 is

GCF of Numerators i.e. for 7953,3784 is 11

LCM of denominators i.e. for 901,812 is 731612.

Thus, GCF of Fractions is 11/731612.Finally, GCF of Fractions for 7953/901, 3784/812 is 11/731612.