Greatest Common Factor of 45/10, 61/82, 484/626

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 45/10, 61/82, 484/626

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 45/10,61/82,484/626

Given fractions are 45/10,61/82,484/626

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 45,61,484

Greatest Common Factor of Numerators i.e. GCF of 45,61,484 is 1 .

LCM of Denominators means LCM of 10,82,626 as per the given fractions.

LCM of 10,82,626 is 128330 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 45,61,484

GCF of Fractions 45/10,61/82,484/626 is 1/128330

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

Greatest Common Factor of 45,61,484 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,61,484 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 61

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

1,61

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Greatest Common Factor

We found the factors 45,61,484 . The biggest common factor number is the GCF number.
So the greatest common factor 45,61,484 is 1.

Lets's calculate LCM of 10,82,626

2 10, 82, 626
5, 41, 313

∴ So the LCM of the given numbers is 2 x 5 x 41 x 313 = 128330

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/128330

Therefore, the GCF of Fractions 45/10,61/82,484/626 is 1/128330

Least Common Multiple of 10,82,626 with GCF Formula

Least Common Multiple of 10,82,626 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 10,82,626 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,82,626) = 2

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

GCF(10,82,626) x common factors =2 x 2 = 4

LCM(10,82,626) = ( 10 × 82 × 626 ) / 4

LCM(10,82,626) = 513320 / 4

LCM(10,82,626) = 128330


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 45/10, 61/82, 484/626

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 45/10, 61/82, 484/626?

Answer: GCF of Numerators as per given numbers 45/10, 61/82, 484/626 is

GCF of Numerators i.e. for 45,61,484 is 1

LCM of denominators i.e. for 10,82,626 is 128330.

Thus, GCF of Fractions is 1/128330.Finally, GCF of Fractions for 45/10, 61/82, 484/626 is 1/128330.