Greatest Common Factor of 5/49, 1/70, 1/98, 61/462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5/49, 1/70, 1/98, 61/462

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 5/49,1/70,1/98,61/462

Given fractions are 5/49,1/70,1/98,61/462

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 5,1,1,61

Greatest Common Factor of Numerators i.e. GCF of 5,1,1,61 is 1 .

LCM of Denominators means LCM of 49,70,98,462 as per the given fractions.

LCM of 49,70,98,462 is 16170 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5,1,1,61

GCF of Fractions 5/49,1/70,1/98,61/462 is 1/16170

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

Greatest Common Factor of 5,1,1,61 By Matching Biggest Common Factor Method

Greatest Common Factor of 5,1,1,61 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 1

List of positive integer factors of 1 that divides 1 without a remainder.

1

Factors of 1

List of positive integer factors of 1 that divides 1 without a remainder.

1

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Greatest Common Factor

We found the factors 5,1,1,61 . The biggest common factor number is the GCF number.
So the greatest common factor 5,1,1,61 is 1.

Lets's calculate LCM of 49,70,98,462

2 49, 70, 98, 462
7 49, 35, 49, 231
7 7, 5, 7, 33
1, 5, 1, 33

∴ So the LCM of the given numbers is 2 x 7 x 7 x 1 x 5 x 1 x 33 = 16170

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16170

Therefore, the GCF of Fractions 5/49,1/70,1/98,61/462 is 1/16170

Least Common Multiple of 49,70,98,462 with GCF Formula

Least Common Multiple of 49,70,98,462 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 49,70,98,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,70,98,462) = 7

common factors(in case of two or more numbers have common factors) = 1372

GCF(49,70,98,462) x common factors =7 x 1372 = 9604

LCM(49,70,98,462) = ( 49 × 70 × 98 × 462 ) / 9604

LCM(49,70,98,462) = 155296680 / 9604

LCM(49,70,98,462) = 16170


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 5/49, 1/70, 1/98, 61/462

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 5/49, 1/70, 1/98, 61/462?

Answer: GCF of Numerators as per given numbers 5/49, 1/70, 1/98, 61/462 is

GCF of Numerators i.e. for 5,1,1,61 is 1

LCM of denominators i.e. for 49,70,98,462 is 16170.

Thus, GCF of Fractions is 1/16170.Finally, GCF of Fractions for 5/49, 1/70, 1/98, 61/462 is 1/16170.