Greatest Common Factor of 7/35, 40/17, 98/351, 874/238

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7/35, 40/17, 98/351, 874/238

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 7/35,40/17,98/351,874/238

Given fractions are 7/35,40/17,98/351,874/238

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 7,40,98,874

Greatest Common Factor of Numerators i.e. GCF of 7,40,98,874 is 1 .

LCM of Denominators means LCM of 35,17,351,238 as per the given fractions.

LCM of 35,17,351,238 is 417690 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7,40,98,874

GCF of Fractions 7/35,40/17,98/351,874/238 is 1/417690

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

Greatest Common Factor of 7,40,98,874 By Matching Biggest Common Factor Method

Greatest Common Factor of 7,40,98,874 By Matching Biggest Common Factor Method

Factors of 7

List of positive integer factors of 7 that divides 7 without a remainder.

1,7

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

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

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

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 7,40,98,874 . The biggest common factor number is the GCF number.
So the greatest common factor 7,40,98,874 is 1.

Lets's calculate LCM of 35,17,351,238

7 35, 17, 351, 238
17 5, 17, 351, 34
5, 1, 351, 2

∴ So the LCM of the given numbers is 7 x 17 x 5 x 1 x 351 x 2 = 417690

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/417690

Therefore, the GCF of Fractions 7/35,40/17,98/351,874/238 is 1/417690

Least Common Multiple of 35,17,351,238 with GCF Formula

Least Common Multiple of 35,17,351,238 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 35,17,351,238 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,17,351,238) = 1

common factors(in case of two or more numbers have common factors) = 119

GCF(35,17,351,238) x common factors =1 x 119 = 119

LCM(35,17,351,238) = ( 35 × 17 × 351 × 238 ) / 119

LCM(35,17,351,238) = 49705110 / 119

LCM(35,17,351,238) = 417690


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 7/35, 40/17, 98/351, 874/238

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 7/35, 40/17, 98/351, 874/238?

Answer: GCF of Numerators as per given numbers 7/35, 40/17, 98/351, 874/238 is

GCF of Numerators i.e. for 7,40,98,874 is 1

LCM of denominators i.e. for 35,17,351,238 is 417690.

Thus, GCF of Fractions is 1/417690.Finally, GCF of Fractions for 7/35, 40/17, 98/351, 874/238 is 1/417690.