Greatest Common Factor of 69/61, 80/95, 154/390

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 69/61, 80/95, 154/390

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 69/61,80/95,154/390

Given fractions are 69/61,80/95,154/390

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 69,80,154

Greatest Common Factor of Numerators i.e. GCF of 69,80,154 is 1 .

LCM of Denominators means LCM of 61,95,390 as per the given fractions.

LCM of 61,95,390 is 452010 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 69,80,154

GCF of Fractions 69/61,80/95,154/390 is 1/452010

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

Greatest Common Factor of 69,80,154 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,80,154 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

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 69,80,154 . The biggest common factor number is the GCF number.
So the greatest common factor 69,80,154 is 1.

Lets's calculate LCM of 61,95,390

5 61, 95, 390
61, 19, 78

∴ So the LCM of the given numbers is 5 x 61 x 19 x 78 = 452010

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/452010

Therefore, the GCF of Fractions 69/61,80/95,154/390 is 1/452010

Least Common Multiple of 61,95,390 with GCF Formula

Least Common Multiple of 61,95,390 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 61,95,390 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,95,390) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(61,95,390) x common factors =1 x 5 = 5

LCM(61,95,390) = ( 61 × 95 × 390 ) / 5

LCM(61,95,390) = 2260050 / 5

LCM(61,95,390) = 452010


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 69/61, 80/95, 154/390

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 69/61, 80/95, 154/390?

Answer: GCF of Numerators as per given numbers 69/61, 80/95, 154/390 is

GCF of Numerators i.e. for 69,80,154 is 1

LCM of denominators i.e. for 61,95,390 is 452010.

Thus, GCF of Fractions is 1/452010.Finally, GCF of Fractions for 69/61, 80/95, 154/390 is 1/452010.