Greatest Common Factor of 357/35, 145/31, 874/196

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 357/35, 145/31, 874/196

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 357/35,145/31,874/196

Given fractions are 357/35,145/31,874/196

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 357,145,874

Greatest Common Factor of Numerators i.e. GCF of 357,145,874 is 1 .

LCM of Denominators means LCM of 35,31,196 as per the given fractions.

LCM of 35,31,196 is 30380 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 357,145,874

GCF of Fractions 357/35,145/31,874/196 is 1/30380

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

Greatest Common Factor of 357,145,874 By Matching Biggest Common Factor Method

Greatest Common Factor of 357,145,874 By Matching Biggest Common Factor Method

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Factors of 145

List of positive integer factors of 145 that divides 145 without a remainder.

1,5,29,145

Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1,2,19,23,38,46,437,874

Greatest Common Factor

We found the factors 357,145,874 . The biggest common factor number is the GCF number.
So the greatest common factor 357,145,874 is 1.

Lets's calculate LCM of 35,31,196

7 35, 31, 196
5, 31, 28

∴ So the LCM of the given numbers is 7 x 5 x 31 x 28 = 30380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30380

Therefore, the GCF of Fractions 357/35,145/31,874/196 is 1/30380

Least Common Multiple of 35,31,196 with GCF Formula

Least Common Multiple of 35,31,196 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 35,31,196 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,31,196) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(35,31,196) x common factors =1 x 7 = 7

LCM(35,31,196) = ( 35 × 31 × 196 ) / 7

LCM(35,31,196) = 212660 / 7

LCM(35,31,196) = 30380


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 357/35, 145/31, 874/196

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 357/35, 145/31, 874/196?

Answer: GCF of Numerators as per given numbers 357/35, 145/31, 874/196 is

GCF of Numerators i.e. for 357,145,874 is 1

LCM of denominators i.e. for 35,31,196 is 30380.

Thus, GCF of Fractions is 1/30380.Finally, GCF of Fractions for 357/35, 145/31, 874/196 is 1/30380.