Greatest Common Factor of 265/474, 451/534, 976/449

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 265/474, 451/534, 976/449

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 265/474,451/534,976/449

Given fractions are 265/474,451/534,976/449

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 265,451,976

Greatest Common Factor of Numerators i.e. GCF of 265,451,976 is 1 .

LCM of Denominators means LCM of 474,534,449 as per the given fractions.

LCM of 474,534,449 is 18941514 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 265,451,976

GCF of Fractions 265/474,451/534,976/449 is 1/18941514

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

Greatest Common Factor of 265,451,976 By Matching Biggest Common Factor Method

Greatest Common Factor of 265,451,976 By Matching Biggest Common Factor Method

Factors of 265

List of positive integer factors of 265 that divides 265 without a remainder.

1,5,53,265

Factors of 451

List of positive integer factors of 451 that divides 451 without a remainder.

1,11,41,451

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1,2,4,8,16,61,122,244,488,976

Greatest Common Factor

We found the factors 265,451,976 . The biggest common factor number is the GCF number.
So the greatest common factor 265,451,976 is 1.

Lets's calculate LCM of 474,534,449

2 474, 534, 449
3 237, 267, 449
79, 89, 449

∴ So the LCM of the given numbers is 2 x 3 x 79 x 89 x 449 = 18941514

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18941514

Therefore, the GCF of Fractions 265/474,451/534,976/449 is 1/18941514

Least Common Multiple of 474,534,449 with GCF Formula

Least Common Multiple of 474,534,449 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 474,534,449 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(474,534,449) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(474,534,449) x common factors =1 x 6 = 6

LCM(474,534,449) = ( 474 × 534 × 449 ) / 6

LCM(474,534,449) = 113649084 / 6

LCM(474,534,449) = 18941514


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 265/474, 451/534, 976/449

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 265/474, 451/534, 976/449?

Answer: GCF of Numerators as per given numbers 265/474, 451/534, 976/449 is

GCF of Numerators i.e. for 265,451,976 is 1

LCM of denominators i.e. for 474,534,449 is 18941514.

Thus, GCF of Fractions is 1/18941514.Finally, GCF of Fractions for 265/474, 451/534, 976/449 is 1/18941514.