Greatest Common Factor of 1977/456, 4265/4492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1977/456, 4265/4492

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 1977/456,4265/4492

Given fractions are 1977/456,4265/4492

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 1977,4265

Greatest Common Factor of Numerators i.e. GCF of 1977,4265 is 1 .

LCM of Denominators means LCM of 456,4492 as per the given fractions.

LCM of 456,4492 is 512088 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1977,4265

GCF of Fractions 1977/456,4265/4492 is 1/512088

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

Greatest Common Factor of 1977,4265 By Matching Biggest Common Factor Method

Greatest Common Factor of 1977,4265 By Matching Biggest Common Factor Method

Factors of 1977

List of positive integer factors of 1977 that divides 1977 without a remainder.

1,3,659,1977

Factors of 4265

List of positive integer factors of 4265 that divides 4265 without a remainder.

1,5,853,4265

Greatest Common Factor

We found the factors 1977,4265 . The biggest common factor number is the GCF number.
So the greatest common factor 1977,4265 is 1.

Lets's calculate LCM of 456,4492

2 456, 4492
2 228, 2246
114, 1123

∴ So the LCM of the given numbers is 2 x 2 x 114 x 1123 = 512088

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/512088

Therefore, the GCF of Fractions 1977/456,4265/4492 is 1/512088

Least Common Multiple of 456,4492 with GCF Formula

Least Common Multiple of 456,4492 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 456,4492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(456,4492) = 4

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

GCF(456,4492) x common factors =4 x 1 = 4

LCM(456,4492) = ( 456 × 4492 ) / 4

LCM(456,4492) = 2048352 / 4

LCM(456,4492) = 512088


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 1977/456, 4265/4492

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 1977/456, 4265/4492?

Answer: GCF of Numerators as per given numbers 1977/456, 4265/4492 is

GCF of Numerators i.e. for 1977,4265 is 1

LCM of denominators i.e. for 456,4492 is 512088.

Thus, GCF of Fractions is 1/512088.Finally, GCF of Fractions for 1977/456, 4265/4492 is 1/512088.