Greatest Common Factor of 418/530, 154/304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 418/530, 154/304

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 418/530,154/304

Given fractions are 418/530,154/304

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 418,154

Greatest Common Factor of Numerators i.e. GCF of 418,154 is 22 .

LCM of Denominators means LCM of 530,304 as per the given fractions.

LCM of 530,304 is 80560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 418,154

GCF of Fractions 418/530,154/304 is 22/80560

2 418, 154
11 209, 77
19, 7

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 418,154 By Matching Biggest Common Factor Method

Greatest Common Factor of 418,154 By Matching Biggest Common Factor Method

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1,2,7,11,14,22,77,154

Greatest Common Factor

We found the factors 418,154 . The biggest common factor number is the GCF number.
So the greatest common factor 418,154 is 22.

Lets's calculate LCM of 530,304

2 530, 304
265, 152

∴ So the LCM of the given numbers is 2 x 265 x 152 = 80560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/80560

Therefore, the GCF of Fractions 418/530,154/304 is 22/80560

Least Common Multiple of 530,304 with GCF Formula

Least Common Multiple of 530,304 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 530,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(530,304) = 2

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

GCF(530,304) x common factors =2 x 1 = 2

LCM(530,304) = ( 530 × 304 ) / 2

LCM(530,304) = 161120 / 2

LCM(530,304) = 80560


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 418/530, 154/304

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 418/530, 154/304?

Answer: GCF of Numerators as per given numbers 418/530, 154/304 is

GCF of Numerators i.e. for 418,154 is 22

LCM of denominators i.e. for 530,304 is 80560.

Thus, GCF of Fractions is 22/80560.Finally, GCF of Fractions for 418/530, 154/304 is 22/80560.