Greatest Common Factor of 6/58, 35/44, 14/702, 870/676

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6/58, 35/44, 14/702, 870/676

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 6/58,35/44,14/702,870/676

Given fractions are 6/58,35/44,14/702,870/676

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 6,35,14,870

Greatest Common Factor of Numerators i.e. GCF of 6,35,14,870 is 1 .

LCM of Denominators means LCM of 58,44,702,676 as per the given fractions.

LCM of 58,44,702,676 is 5822388 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6,35,14,870

GCF of Fractions 6/58,35/44,14/702,870/676 is 1/5822388

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

Greatest Common Factor of 6,35,14,870 By Matching Biggest Common Factor Method

Greatest Common Factor of 6,35,14,870 By Matching Biggest Common Factor Method

Factors of 6

List of positive integer factors of 6 that divides 6 without a remainder.

1,2,3,6

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Greatest Common Factor

We found the factors 6,35,14,870 . The biggest common factor number is the GCF number.
So the greatest common factor 6,35,14,870 is 1.

Lets's calculate LCM of 58,44,702,676

2 58, 44, 702, 676
2 29, 22, 351, 338
13 29, 11, 351, 169
29, 11, 27, 13

∴ So the LCM of the given numbers is 2 x 2 x 13 x 29 x 11 x 27 x 13 = 5822388

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5822388

Therefore, the GCF of Fractions 6/58,35/44,14/702,870/676 is 1/5822388

Least Common Multiple of 58,44,702,676 with GCF Formula

Least Common Multiple of 58,44,702,676 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 58,44,702,676 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,44,702,676) = 2

common factors(in case of two or more numbers have common factors) = 104

GCF(58,44,702,676) x common factors =2 x 104 = 208

LCM(58,44,702,676) = ( 58 × 44 × 702 × 676 ) / 208

LCM(58,44,702,676) = 1211056704 / 208

LCM(58,44,702,676) = 5822388


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 6/58, 35/44, 14/702, 870/676

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 6/58, 35/44, 14/702, 870/676?

Answer: GCF of Numerators as per given numbers 6/58, 35/44, 14/702, 870/676 is

GCF of Numerators i.e. for 6,35,14,870 is 1

LCM of denominators i.e. for 58,44,702,676 is 5822388.

Thus, GCF of Fractions is 1/5822388.Finally, GCF of Fractions for 6/58, 35/44, 14/702, 870/676 is 1/5822388.