Greatest Common Factor of 293/70, 425/44, 122/40

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 293/70, 425/44, 122/40

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 293/70,425/44,122/40

Given fractions are 293/70,425/44,122/40

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 293,425,122

Greatest Common Factor of Numerators i.e. GCF of 293,425,122 is 1 .

LCM of Denominators means LCM of 70,44,40 as per the given fractions.

LCM of 70,44,40 is 3080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 293,425,122

GCF of Fractions 293/70,425/44,122/40 is 1/3080

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

Greatest Common Factor of 293,425,122 By Matching Biggest Common Factor Method

Greatest Common Factor of 293,425,122 By Matching Biggest Common Factor Method

Factors of 293

List of positive integer factors of 293 that divides 293 without a remainder.

1,293

Factors of 425

List of positive integer factors of 425 that divides 425 without a remainder.

1,5,17,25,85,425

Factors of 122

List of positive integer factors of 122 that divides 122 without a remainder.

1,2,61,122

Greatest Common Factor

We found the factors 293,425,122 . The biggest common factor number is the GCF number.
So the greatest common factor 293,425,122 is 1.

Lets's calculate LCM of 70,44,40

2 70, 44, 40
2 35, 22, 20
5 35, 11, 10
7, 11, 2

∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 11 x 2 = 3080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3080

Therefore, the GCF of Fractions 293/70,425/44,122/40 is 1/3080

Least Common Multiple of 70,44,40 with GCF Formula

Least Common Multiple of 70,44,40 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 70,44,40 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,44,40) = 2

common factors(in case of two or more numbers have common factors) = 20

GCF(70,44,40) x common factors =2 x 20 = 40

LCM(70,44,40) = ( 70 × 44 × 40 ) / 40

LCM(70,44,40) = 123200 / 40

LCM(70,44,40) = 3080


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 293/70, 425/44, 122/40

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 293/70, 425/44, 122/40?

Answer: GCF of Numerators as per given numbers 293/70, 425/44, 122/40 is

GCF of Numerators i.e. for 293,425,122 is 1

LCM of denominators i.e. for 70,44,40 is 3080.

Thus, GCF of Fractions is 1/3080.Finally, GCF of Fractions for 293/70, 425/44, 122/40 is 1/3080.