Greatest Common Factor of 3244/61, 1040/977

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3244/61, 1040/977

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 3244/61,1040/977

Given fractions are 3244/61,1040/977

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 3244,1040

Greatest Common Factor of Numerators i.e. GCF of 3244,1040 is 4 .

LCM of Denominators means LCM of 61,977 as per the given fractions.

LCM of 61,977 is 59597 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3244,1040

GCF of Fractions 3244/61,1040/977 is 4/59597

2 3244, 1040
2 1622, 520
811, 260

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 3244,1040 By Matching Biggest Common Factor Method

Greatest Common Factor of 3244,1040 By Matching Biggest Common Factor Method

Factors of 3244

List of positive integer factors of 3244 that divides 3244 without a remainder.

1,2,4,811,1622,3244

Factors of 1040

List of positive integer factors of 1040 that divides 1040 without a remainder.

1,2,4,5,8,10,13,16,20,26,40,52,65,80,104,130,208,260,520,1040

Greatest Common Factor

We found the factors 3244,1040 . The biggest common factor number is the GCF number.
So the greatest common factor 3244,1040 is 4.

Lets's calculate LCM of 61,977

Given numbers has no common factors except 1. So, there LCM is their product i.e 59597

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/59597

Therefore, the GCF of Fractions 3244/61,1040/977 is 4/59597

Least Common Multiple of 61,977 with GCF Formula

Least Common Multiple of 61,977 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 61,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,977) = 1

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

GCF(61,977) x common factors =1 x 1 = 1

LCM(61,977) = ( 61 × 977 ) / 1

LCM(61,977) = 59597 / 1

LCM(61,977) = 59597


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 3244/61, 1040/977

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 3244/61, 1040/977?

Answer: GCF of Numerators as per given numbers 3244/61, 1040/977 is

GCF of Numerators i.e. for 3244,1040 is 4

LCM of denominators i.e. for 61,977 is 59597.

Thus, GCF of Fractions is 4/59597.Finally, GCF of Fractions for 3244/61, 1040/977 is 4/59597.