Greatest Common Factor of 70/26, 13/61, 25/40, 33/490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 70/26, 13/61, 25/40, 33/490

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 70/26,13/61,25/40,33/490

Given fractions are 70/26,13/61,25/40,33/490

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 70,13,25,33

Greatest Common Factor of Numerators i.e. GCF of 70,13,25,33 is 1 .

LCM of Denominators means LCM of 26,61,40,490 as per the given fractions.

LCM of 26,61,40,490 is 1554280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 70,13,25,33

GCF of Fractions 70/26,13/61,25/40,33/490 is 1/1554280

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

Greatest Common Factor of 70,13,25,33 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,13,25,33 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Greatest Common Factor

We found the factors 70,13,25,33 . The biggest common factor number is the GCF number.
So the greatest common factor 70,13,25,33 is 1.

Lets's calculate LCM of 26,61,40,490

2 26, 61, 40, 490
5 13, 61, 20, 245
13, 61, 4, 49

∴ So the LCM of the given numbers is 2 x 5 x 13 x 61 x 4 x 49 = 1554280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1554280

Therefore, the GCF of Fractions 70/26,13/61,25/40,33/490 is 1/1554280

Least Common Multiple of 26,61,40,490 with GCF Formula

Least Common Multiple of 26,61,40,490 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 26,61,40,490 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,61,40,490) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(26,61,40,490) x common factors =1 x 20 = 20

LCM(26,61,40,490) = ( 26 × 61 × 40 × 490 ) / 20

LCM(26,61,40,490) = 31085600 / 20

LCM(26,61,40,490) = 1554280


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 70/26, 13/61, 25/40, 33/490

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 70/26, 13/61, 25/40, 33/490?

Answer: GCF of Numerators as per given numbers 70/26, 13/61, 25/40, 33/490 is

GCF of Numerators i.e. for 70,13,25,33 is 1

LCM of denominators i.e. for 26,61,40,490 is 1554280.

Thus, GCF of Fractions is 1/1554280.Finally, GCF of Fractions for 70/26, 13/61, 25/40, 33/490 is 1/1554280.