Greatest Common Factor of 178/17, 482/52, 790/540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 178/17, 482/52, 790/540

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 178/17,482/52,790/540

Given fractions are 178/17,482/52,790/540

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 178,482,790

Greatest Common Factor of Numerators i.e. GCF of 178,482,790 is 2 .

LCM of Denominators means LCM of 17,52,540 as per the given fractions.

LCM of 17,52,540 is 119340 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 178,482,790

GCF of Fractions 178/17,482/52,790/540 is 2/119340

2 178, 482, 790
89, 241, 395

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 178,482,790 By Matching Biggest Common Factor Method

Greatest Common Factor of 178,482,790 By Matching Biggest Common Factor Method

Factors of 178

List of positive integer factors of 178 that divides 178 without a remainder.

1,2,89,178

Factors of 482

List of positive integer factors of 482 that divides 482 without a remainder.

1,2,241,482

Factors of 790

List of positive integer factors of 790 that divides 790 without a remainder.

1,2,5,10,79,158,395,790

Greatest Common Factor

We found the factors 178,482,790 . The biggest common factor number is the GCF number.
So the greatest common factor 178,482,790 is 2.

Lets's calculate LCM of 17,52,540

2 17, 52, 540
2 17, 26, 270
17, 13, 135

∴ So the LCM of the given numbers is 2 x 2 x 17 x 13 x 135 = 119340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/119340

Therefore, the GCF of Fractions 178/17,482/52,790/540 is 2/119340

Least Common Multiple of 17,52,540 with GCF Formula

Least Common Multiple of 17,52,540 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 17,52,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,52,540) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(17,52,540) x common factors =1 x 4 = 4

LCM(17,52,540) = ( 17 × 52 × 540 ) / 4

LCM(17,52,540) = 477360 / 4

LCM(17,52,540) = 119340


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 178/17, 482/52, 790/540

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 178/17, 482/52, 790/540?

Answer: GCF of Numerators as per given numbers 178/17, 482/52, 790/540 is

GCF of Numerators i.e. for 178,482,790 is 2

LCM of denominators i.e. for 17,52,540 is 119340.

Thus, GCF of Fractions is 2/119340.Finally, GCF of Fractions for 178/17, 482/52, 790/540 is 2/119340.