Greatest Common Factor of 8270/68, 1055/472

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8270/68, 1055/472

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 8270/68,1055/472

Given fractions are 8270/68,1055/472

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 8270,1055

Greatest Common Factor of Numerators i.e. GCF of 8270,1055 is 5 .

LCM of Denominators means LCM of 68,472 as per the given fractions.

LCM of 68,472 is 8024 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8270,1055

GCF of Fractions 8270/68,1055/472 is 5/8024

5 8270, 1055
1654, 211

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 8270,1055 By Matching Biggest Common Factor Method

Greatest Common Factor of 8270,1055 By Matching Biggest Common Factor Method

Factors of 8270

List of positive integer factors of 8270 that divides 8270 without a remainder.

1,2,5,10,827,1654,4135,8270

Factors of 1055

List of positive integer factors of 1055 that divides 1055 without a remainder.

1,5,211,1055

Greatest Common Factor

We found the factors 8270,1055 . The biggest common factor number is the GCF number.
So the greatest common factor 8270,1055 is 5.

Lets's calculate LCM of 68,472

2 68, 472
2 34, 236
17, 118

∴ So the LCM of the given numbers is 2 x 2 x 17 x 118 = 8024

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/8024

Therefore, the GCF of Fractions 8270/68,1055/472 is 5/8024

Least Common Multiple of 68,472 with GCF Formula

Least Common Multiple of 68,472 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 68,472 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,472) = 4

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

GCF(68,472) x common factors =4 x 1 = 4

LCM(68,472) = ( 68 × 472 ) / 4

LCM(68,472) = 32096 / 4

LCM(68,472) = 8024


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 8270/68, 1055/472

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 8270/68, 1055/472?

Answer: GCF of Numerators as per given numbers 8270/68, 1055/472 is

GCF of Numerators i.e. for 8270,1055 is 5

LCM of denominators i.e. for 68,472 is 8024.

Thus, GCF of Fractions is 5/8024.Finally, GCF of Fractions for 8270/68, 1055/472 is 5/8024.