Greatest Common Factor of 1761/36, 4064/984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1761/36, 4064/984

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 1761/36,4064/984

Given fractions are 1761/36,4064/984

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 1761,4064

Greatest Common Factor of Numerators i.e. GCF of 1761,4064 is 1 .

LCM of Denominators means LCM of 36,984 as per the given fractions.

LCM of 36,984 is 2952 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1761,4064

GCF of Fractions 1761/36,4064/984 is 1/2952

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

Greatest Common Factor of 1761,4064 By Matching Biggest Common Factor Method

Greatest Common Factor of 1761,4064 By Matching Biggest Common Factor Method

Factors of 1761

List of positive integer factors of 1761 that divides 1761 without a remainder.

1,3,587,1761

Factors of 4064

List of positive integer factors of 4064 that divides 4064 without a remainder.

1,2,4,8,16,32,127,254,508,1016,2032,4064

Greatest Common Factor

We found the factors 1761,4064 . The biggest common factor number is the GCF number.
So the greatest common factor 1761,4064 is 1.

Lets's calculate LCM of 36,984

2 36, 984
2 18, 492
3 9, 246
3, 82

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 82 = 2952

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2952

Therefore, the GCF of Fractions 1761/36,4064/984 is 1/2952

Least Common Multiple of 36,984 with GCF Formula

Least Common Multiple of 36,984 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 36,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,984) = 12

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

GCF(36,984) x common factors =12 x 1 = 12

LCM(36,984) = ( 36 × 984 ) / 12

LCM(36,984) = 35424 / 12

LCM(36,984) = 2952


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 1761/36, 4064/984

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 1761/36, 4064/984?

Answer: GCF of Numerators as per given numbers 1761/36, 4064/984 is

GCF of Numerators i.e. for 1761,4064 is 1

LCM of denominators i.e. for 36,984 is 2952.

Thus, GCF of Fractions is 1/2952.Finally, GCF of Fractions for 1761/36, 4064/984 is 1/2952.