Greatest Common Factor of 55/867, 61/270, 130/442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 55/867, 61/270, 130/442

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 55/867,61/270,130/442

Given fractions are 55/867,61/270,130/442

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 55,61,130

Greatest Common Factor of Numerators i.e. GCF of 55,61,130 is 1 .

LCM of Denominators means LCM of 867,270,442 as per the given fractions.

LCM of 867,270,442 is 1014390 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 55,61,130

GCF of Fractions 55/867,61/270,130/442 is 1/1014390

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

Greatest Common Factor of 55,61,130 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,61,130 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Greatest Common Factor

We found the factors 55,61,130 . The biggest common factor number is the GCF number.
So the greatest common factor 55,61,130 is 1.

Lets's calculate LCM of 867,270,442

2 867, 270, 442
3 867, 135, 221
17 289, 45, 221
17, 45, 13

∴ So the LCM of the given numbers is 2 x 3 x 17 x 17 x 45 x 13 = 1014390

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1014390

Therefore, the GCF of Fractions 55/867,61/270,130/442 is 1/1014390

Least Common Multiple of 867,270,442 with GCF Formula

Least Common Multiple of 867,270,442 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 867,270,442 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(867,270,442) = 1

common factors(in case of two or more numbers have common factors) = 102

GCF(867,270,442) x common factors =1 x 102 = 102

LCM(867,270,442) = ( 867 × 270 × 442 ) / 102

LCM(867,270,442) = 103467780 / 102

LCM(867,270,442) = 1014390


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 55/867, 61/270, 130/442

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 55/867, 61/270, 130/442?

Answer: GCF of Numerators as per given numbers 55/867, 61/270, 130/442 is

GCF of Numerators i.e. for 55,61,130 is 1

LCM of denominators i.e. for 867,270,442 is 1014390.

Thus, GCF of Fractions is 1/1014390.Finally, GCF of Fractions for 55/867, 61/270, 130/442 is 1/1014390.