Greatest Common Factor of 145/472, 626/866, 474/114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 145/472, 626/866, 474/114

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 145/472,626/866,474/114

Given fractions are 145/472,626/866,474/114

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 145,626,474

Greatest Common Factor of Numerators i.e. GCF of 145,626,474 is 1 .

LCM of Denominators means LCM of 472,866,114 as per the given fractions.

LCM of 472,866,114 is 11649432 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 145,626,474

GCF of Fractions 145/472,626/866,474/114 is 1/11649432

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

Greatest Common Factor of 145,626,474 By Matching Biggest Common Factor Method

Greatest Common Factor of 145,626,474 By Matching Biggest Common Factor Method

Factors of 145

List of positive integer factors of 145 that divides 145 without a remainder.

1,5,29,145

Factors of 626

List of positive integer factors of 626 that divides 626 without a remainder.

1,2,313,626

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Greatest Common Factor

We found the factors 145,626,474 . The biggest common factor number is the GCF number.
So the greatest common factor 145,626,474 is 1.

Lets's calculate LCM of 472,866,114

2 472, 866, 114
236, 433, 57

∴ So the LCM of the given numbers is 2 x 236 x 433 x 57 = 11649432

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11649432

Therefore, the GCF of Fractions 145/472,626/866,474/114 is 1/11649432

Least Common Multiple of 472,866,114 with GCF Formula

Least Common Multiple of 472,866,114 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 472,866,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(472,866,114) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(472,866,114) x common factors =2 x 2 = 4

LCM(472,866,114) = ( 472 × 866 × 114 ) / 4

LCM(472,866,114) = 46597728 / 4

LCM(472,866,114) = 11649432


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 145/472, 626/866, 474/114

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 145/472, 626/866, 474/114?

Answer: GCF of Numerators as per given numbers 145/472, 626/866, 474/114 is

GCF of Numerators i.e. for 145,626,474 is 1

LCM of denominators i.e. for 472,866,114 is 11649432.

Thus, GCF of Fractions is 1/11649432.Finally, GCF of Fractions for 145/472, 626/866, 474/114 is 1/11649432.