Greatest Common Factor of 460/55, 910/278

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 460/55, 910/278

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 460/55,910/278

Given fractions are 460/55,910/278

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 460,910

Greatest Common Factor of Numerators i.e. GCF of 460,910 is 10 .

LCM of Denominators means LCM of 55,278 as per the given fractions.

LCM of 55,278 is 15290 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 460,910

GCF of Fractions 460/55,910/278 is 10/15290

2 460, 910
5 230, 455
46, 91

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 460,910 By Matching Biggest Common Factor Method

Greatest Common Factor of 460,910 By Matching Biggest Common Factor Method

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Factors of 910

List of positive integer factors of 910 that divides 910 without a remainder.

1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910

Greatest Common Factor

We found the factors 460,910 . The biggest common factor number is the GCF number.
So the greatest common factor 460,910 is 10.

Lets's calculate LCM of 55,278

Given numbers has no common factors except 1. So, there LCM is their product i.e 15290

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/15290

Therefore, the GCF of Fractions 460/55,910/278 is 10/15290

Least Common Multiple of 55,278 with GCF Formula

Least Common Multiple of 55,278 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 55,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,278) = 1

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

GCF(55,278) x common factors =1 x 1 = 1

LCM(55,278) = ( 55 × 278 ) / 1

LCM(55,278) = 15290 / 1

LCM(55,278) = 15290


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 460/55, 910/278

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 460/55, 910/278?

Answer: GCF of Numerators as per given numbers 460/55, 910/278 is

GCF of Numerators i.e. for 460,910 is 10

LCM of denominators i.e. for 55,278 is 15290.

Thus, GCF of Fractions is 10/15290.Finally, GCF of Fractions for 460/55, 910/278 is 10/15290.