Greatest Common Factor of 45/26, 65/37, 677/183

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 45/26, 65/37, 677/183

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 45/26,65/37,677/183

Given fractions are 45/26,65/37,677/183

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 45,65,677

Greatest Common Factor of Numerators i.e. GCF of 45,65,677 is 1 .

LCM of Denominators means LCM of 26,37,183 as per the given fractions.

LCM of 26,37,183 is 176046 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 45,65,677

GCF of Fractions 45/26,65/37,677/183 is 1/176046

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

Greatest Common Factor of 45,65,677 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,65,677 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 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 677

List of positive integer factors of 677 that divides 677 without a remainder.

1,677

Greatest Common Factor

We found the factors 45,65,677 . The biggest common factor number is the GCF number.
So the greatest common factor 45,65,677 is 1.

Lets's calculate LCM of 26,37,183

Given numbers has no common factors except 1. So, there LCM is their product i.e 176046

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/176046

Therefore, the GCF of Fractions 45/26,65/37,677/183 is 1/176046

Least Common Multiple of 26,37,183 with GCF Formula

Least Common Multiple of 26,37,183 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 26,37,183 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,37,183) = 1

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

GCF(26,37,183) x common factors =1 x 1 = 1

LCM(26,37,183) = ( 26 × 37 × 183 ) / 1

LCM(26,37,183) = 176046 / 1

LCM(26,37,183) = 176046


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 45/26, 65/37, 677/183

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 45/26, 65/37, 677/183?

Answer: GCF of Numerators as per given numbers 45/26, 65/37, 677/183 is

GCF of Numerators i.e. for 45,65,677 is 1

LCM of denominators i.e. for 26,37,183 is 176046.

Thus, GCF of Fractions is 1/176046.Finally, GCF of Fractions for 45/26, 65/37, 677/183 is 1/176046.