Greatest Common Factor of 97/70, 42/97, 343/248

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 97/70, 42/97, 343/248

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 97/70,42/97,343/248

Given fractions are 97/70,42/97,343/248

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 97,42,343

Greatest Common Factor of Numerators i.e. GCF of 97,42,343 is 1 .

LCM of Denominators means LCM of 70,97,248 as per the given fractions.

LCM of 70,97,248 is 841960 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 97,42,343

GCF of Fractions 97/70,42/97,343/248 is 1/841960

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

Greatest Common Factor of 97,42,343 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,42,343 By Matching Biggest Common Factor Method

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 343

List of positive integer factors of 343 that divides 343 without a remainder.

1,7,49,343

Greatest Common Factor

We found the factors 97,42,343 . The biggest common factor number is the GCF number.
So the greatest common factor 97,42,343 is 1.

Lets's calculate LCM of 70,97,248

2 70, 97, 248
35, 97, 124

∴ So the LCM of the given numbers is 2 x 35 x 97 x 124 = 841960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/841960

Therefore, the GCF of Fractions 97/70,42/97,343/248 is 1/841960

Least Common Multiple of 70,97,248 with GCF Formula

Least Common Multiple of 70,97,248 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 70,97,248 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,97,248) = 1

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

GCF(70,97,248) x common factors =1 x 2 = 2

LCM(70,97,248) = ( 70 × 97 × 248 ) / 2

LCM(70,97,248) = 1683920 / 2

LCM(70,97,248) = 841960


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 97/70, 42/97, 343/248

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 97/70, 42/97, 343/248?

Answer: GCF of Numerators as per given numbers 97/70, 42/97, 343/248 is

GCF of Numerators i.e. for 97,42,343 is 1

LCM of denominators i.e. for 70,97,248 is 841960.

Thus, GCF of Fractions is 1/841960.Finally, GCF of Fractions for 97/70, 42/97, 343/248 is 1/841960.