Greatest Common Factor of 426/480, 902/961, 284/824

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 426/480, 902/961, 284/824

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 426/480,902/961,284/824

Given fractions are 426/480,902/961,284/824

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 426,902,284

Greatest Common Factor of Numerators i.e. GCF of 426,902,284 is 2 .

LCM of Denominators means LCM of 480,961,824 as per the given fractions.

LCM of 480,961,824 is 47511840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 426,902,284

GCF of Fractions 426/480,902/961,284/824 is 2/47511840

2 426, 902, 284
213, 451, 142

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

Greatest Common Factor of 426,902,284 By Matching Biggest Common Factor Method

Greatest Common Factor of 426,902,284 By Matching Biggest Common Factor Method

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1,2,11,22,41,82,451,902

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Greatest Common Factor

We found the factors 426,902,284 . The biggest common factor number is the GCF number.
So the greatest common factor 426,902,284 is 2.

Lets's calculate LCM of 480,961,824

2 480, 961, 824
2 240, 961, 412
2 120, 961, 206
60, 961, 103

∴ So the LCM of the given numbers is 2 x 2 x 2 x 60 x 961 x 103 = 47511840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/47511840

Therefore, the GCF of Fractions 426/480,902/961,284/824 is 2/47511840

Least Common Multiple of 480,961,824 with GCF Formula

Least Common Multiple of 480,961,824 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 480,961,824 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,961,824) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(480,961,824) x common factors =1 x 8 = 8

LCM(480,961,824) = ( 480 × 961 × 824 ) / 8

LCM(480,961,824) = 380094720 / 8

LCM(480,961,824) = 47511840


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 426/480, 902/961, 284/824

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 426/480, 902/961, 284/824?

Answer: GCF of Numerators as per given numbers 426/480, 902/961, 284/824 is

GCF of Numerators i.e. for 426,902,284 is 2

LCM of denominators i.e. for 480,961,824 is 47511840.

Thus, GCF of Fractions is 2/47511840.Finally, GCF of Fractions for 426/480, 902/961, 284/824 is 2/47511840.