Greatest Common Factor of 455/56, 416/540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 455/56, 416/540

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 455/56,416/540

Given fractions are 455/56,416/540

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 455,416

Greatest Common Factor of Numerators i.e. GCF of 455,416 is 13 .

LCM of Denominators means LCM of 56,540 as per the given fractions.

LCM of 56,540 is 7560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 455,416

GCF of Fractions 455/56,416/540 is 13/7560

13 455, 416
35, 32

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 455,416 By Matching Biggest Common Factor Method

Greatest Common Factor of 455,416 By Matching Biggest Common Factor Method

Factors of 455

List of positive integer factors of 455 that divides 455 without a remainder.

1,5,7,13,35,65,91,455

Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

1,2,4,8,13,16,26,32,52,104,208,416

Greatest Common Factor

We found the factors 455,416 . The biggest common factor number is the GCF number.
So the greatest common factor 455,416 is 13.

Lets's calculate LCM of 56,540

2 56, 540
2 28, 270
14, 135

∴ So the LCM of the given numbers is 2 x 2 x 14 x 135 = 7560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/7560

Therefore, the GCF of Fractions 455/56,416/540 is 13/7560

Least Common Multiple of 56,540 with GCF Formula

Least Common Multiple of 56,540 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 56,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,540) = 4

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

GCF(56,540) x common factors =4 x 1 = 4

LCM(56,540) = ( 56 × 540 ) / 4

LCM(56,540) = 30240 / 4

LCM(56,540) = 7560


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 455/56, 416/540

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 455/56, 416/540?

Answer: GCF of Numerators as per given numbers 455/56, 416/540 is

GCF of Numerators i.e. for 455,416 is 13

LCM of denominators i.e. for 56,540 is 7560.

Thus, GCF of Fractions is 13/7560.Finally, GCF of Fractions for 455/56, 416/540 is 13/7560.