Greatest Common Factor of 40/262, 964/524, 535/949

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 40/262, 964/524, 535/949

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 40/262,964/524,535/949

Given fractions are 40/262,964/524,535/949

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 40,964,535

Greatest Common Factor of Numerators i.e. GCF of 40,964,535 is 1 .

LCM of Denominators means LCM of 262,524,949 as per the given fractions.

LCM of 262,524,949 is 497276 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 40,964,535

GCF of Fractions 40/262,964/524,535/949 is 1/497276

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

Greatest Common Factor of 40,964,535 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,964,535 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 964

List of positive integer factors of 964 that divides 964 without a remainder.

1,2,4,241,482,964

Factors of 535

List of positive integer factors of 535 that divides 535 without a remainder.

1,5,107,535

Greatest Common Factor

We found the factors 40,964,535 . The biggest common factor number is the GCF number.
So the greatest common factor 40,964,535 is 1.

Lets's calculate LCM of 262,524,949

2 262, 524, 949
131 131, 262, 949
1, 2, 949

∴ So the LCM of the given numbers is 2 x 131 x 1 x 2 x 949 = 497276

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/497276

Therefore, the GCF of Fractions 40/262,964/524,535/949 is 1/497276

Least Common Multiple of 262,524,949 with GCF Formula

Least Common Multiple of 262,524,949 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 262,524,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(262,524,949) = 1

common factors(in case of two or more numbers have common factors) = 262

GCF(262,524,949) x common factors =1 x 262 = 262

LCM(262,524,949) = ( 262 × 524 × 949 ) / 262

LCM(262,524,949) = 130286312 / 262

LCM(262,524,949) = 497276


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 40/262, 964/524, 535/949

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 40/262, 964/524, 535/949?

Answer: GCF of Numerators as per given numbers 40/262, 964/524, 535/949 is

GCF of Numerators i.e. for 40,964,535 is 1

LCM of denominators i.e. for 262,524,949 is 497276.

Thus, GCF of Fractions is 1/497276.Finally, GCF of Fractions for 40/262, 964/524, 535/949 is 1/497276.