Greatest Common Factor of 155/104, 460/262

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 155/104, 460/262

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 155/104,460/262

Given fractions are 155/104,460/262

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 155,460

Greatest Common Factor of Numerators i.e. GCF of 155,460 is 5 .

LCM of Denominators means LCM of 104,262 as per the given fractions.

LCM of 104,262 is 13624 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 155,460

GCF of Fractions 155/104,460/262 is 5/13624

5 155, 460
31, 92

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

Greatest Common Factor of 155,460 By Matching Biggest Common Factor Method

Greatest Common Factor of 155,460 By Matching Biggest Common Factor Method

Factors of 155

List of positive integer factors of 155 that divides 155 without a remainder.

1,5,31,155

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

Greatest Common Factor

We found the factors 155,460 . The biggest common factor number is the GCF number.
So the greatest common factor 155,460 is 5.

Lets's calculate LCM of 104,262

2 104, 262
52, 131

∴ So the LCM of the given numbers is 2 x 52 x 131 = 13624

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/13624

Therefore, the GCF of Fractions 155/104,460/262 is 5/13624

Least Common Multiple of 104,262 with GCF Formula

Least Common Multiple of 104,262 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 104,262 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(104,262) = 2

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

GCF(104,262) x common factors =2 x 1 = 2

LCM(104,262) = ( 104 × 262 ) / 2

LCM(104,262) = 27248 / 2

LCM(104,262) = 13624


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 155/104, 460/262

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 155/104, 460/262?

Answer: GCF of Numerators as per given numbers 155/104, 460/262 is

GCF of Numerators i.e. for 155,460 is 5

LCM of denominators i.e. for 104,262 is 13624.

Thus, GCF of Fractions is 5/13624.Finally, GCF of Fractions for 155/104, 460/262 is 5/13624.