Greatest Common Factor of 3640/993, 7974/880

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3640/993, 7974/880

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 3640/993,7974/880

Given fractions are 3640/993,7974/880

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 3640,7974

Greatest Common Factor of Numerators i.e. GCF of 3640,7974 is 2 .

LCM of Denominators means LCM of 993,880 as per the given fractions.

LCM of 993,880 is 873840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3640,7974

GCF of Fractions 3640/993,7974/880 is 2/873840

2 3640, 7974
1820, 3987

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 3640,7974 By Matching Biggest Common Factor Method

Greatest Common Factor of 3640,7974 By Matching Biggest Common Factor Method

Factors of 3640

List of positive integer factors of 3640 that divides 3640 without a remainder.

1,2,4,5,7,8,10,13,14,20,26,28,35,40,52,56,65,70,91,104,130,140,182,260,280,364,455,520,728,910,1820,3640

Factors of 7974

List of positive integer factors of 7974 that divides 7974 without a remainder.

1,2,3,6,9,18,443,886,1329,2658,3987,7974

Greatest Common Factor

We found the factors 3640,7974 . The biggest common factor number is the GCF number.
So the greatest common factor 3640,7974 is 2.

Lets's calculate LCM of 993,880

Given numbers has no common factors except 1. So, there LCM is their product i.e 873840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/873840

Therefore, the GCF of Fractions 3640/993,7974/880 is 2/873840

Least Common Multiple of 993,880 with GCF Formula

Least Common Multiple of 993,880 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 993,880 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(993,880) = 1

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

GCF(993,880) x common factors =1 x 1 = 1

LCM(993,880) = ( 993 × 880 ) / 1

LCM(993,880) = 873840 / 1

LCM(993,880) = 873840


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 3640/993, 7974/880

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 3640/993, 7974/880?

Answer: GCF of Numerators as per given numbers 3640/993, 7974/880 is

GCF of Numerators i.e. for 3640,7974 is 2

LCM of denominators i.e. for 993,880 is 873840.

Thus, GCF of Fractions is 2/873840.Finally, GCF of Fractions for 3640/993, 7974/880 is 2/873840.