Greatest Common Factor of 5/70, 59/71, 82/262, 445/515

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5/70, 59/71, 82/262, 445/515

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 5/70,59/71,82/262,445/515

Given fractions are 5/70,59/71,82/262,445/515

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 5,59,82,445

Greatest Common Factor of Numerators i.e. GCF of 5,59,82,445 is 1 .

LCM of Denominators means LCM of 70,71,262,515 as per the given fractions.

LCM of 70,71,262,515 is 67060210 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5,59,82,445

GCF of Fractions 5/70,59/71,82/262,445/515 is 1/67060210

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

Greatest Common Factor of 5,59,82,445 By Matching Biggest Common Factor Method

Greatest Common Factor of 5,59,82,445 By Matching Biggest Common Factor Method

Factors of 5

List of positive integer factors of 5 that divides 5 without a remainder.

1,5

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 445

List of positive integer factors of 445 that divides 445 without a remainder.

1,5,89,445

Greatest Common Factor

We found the factors 5,59,82,445 . The biggest common factor number is the GCF number.
So the greatest common factor 5,59,82,445 is 1.

Lets's calculate LCM of 70,71,262,515

2 70, 71, 262, 515
5 35, 71, 131, 515
7, 71, 131, 103

∴ So the LCM of the given numbers is 2 x 5 x 7 x 71 x 131 x 103 = 67060210

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67060210

Therefore, the GCF of Fractions 5/70,59/71,82/262,445/515 is 1/67060210

Least Common Multiple of 70,71,262,515 with GCF Formula

Least Common Multiple of 70,71,262,515 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 70,71,262,515 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,71,262,515) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(70,71,262,515) x common factors =1 x 10 = 10

LCM(70,71,262,515) = ( 70 × 71 × 262 × 515 ) / 10

LCM(70,71,262,515) = 670602100 / 10

LCM(70,71,262,515) = 67060210


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 5/70, 59/71, 82/262, 445/515

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 5/70, 59/71, 82/262, 445/515?

Answer: GCF of Numerators as per given numbers 5/70, 59/71, 82/262, 445/515 is

GCF of Numerators i.e. for 5,59,82,445 is 1

LCM of denominators i.e. for 70,71,262,515 is 67060210.

Thus, GCF of Fractions is 1/67060210.Finally, GCF of Fractions for 5/70, 59/71, 82/262, 445/515 is 1/67060210.