Greatest Common Factor of 136/75, 698/59, 412/563

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 136/75, 698/59, 412/563

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 136/75,698/59,412/563

Given fractions are 136/75,698/59,412/563

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 136,698,412

Greatest Common Factor of Numerators i.e. GCF of 136,698,412 is 2 .

LCM of Denominators means LCM of 75,59,563 as per the given fractions.

LCM of 75,59,563 is 2491275 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 136,698,412

GCF of Fractions 136/75,698/59,412/563 is 2/2491275

2 136, 698, 412
68, 349, 206

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 136,698,412 By Matching Biggest Common Factor Method

Greatest Common Factor of 136,698,412 By Matching Biggest Common Factor Method

Factors of 136

List of positive integer factors of 136 that divides 136 without a remainder.

1,2,4,8,17,34,68,136

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Factors of 412

List of positive integer factors of 412 that divides 412 without a remainder.

1,2,4,103,206,412

Greatest Common Factor

We found the factors 136,698,412 . The biggest common factor number is the GCF number.
So the greatest common factor 136,698,412 is 2.

Lets's calculate LCM of 75,59,563

Given numbers has no common factors except 1. So, there LCM is their product i.e 2491275

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2491275

Therefore, the GCF of Fractions 136/75,698/59,412/563 is 2/2491275

Least Common Multiple of 75,59,563 with GCF Formula

Least Common Multiple of 75,59,563 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 75,59,563 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,59,563) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(75,59,563) x common factors =1 x 1 = 1

LCM(75,59,563) = ( 75 × 59 × 563 ) / 1

LCM(75,59,563) = 2491275 / 1

LCM(75,59,563) = 2491275


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 136/75, 698/59, 412/563

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 136/75, 698/59, 412/563?

Answer: GCF of Numerators as per given numbers 136/75, 698/59, 412/563 is

GCF of Numerators i.e. for 136,698,412 is 2

LCM of denominators i.e. for 75,59,563 is 2491275.

Thus, GCF of Fractions is 2/2491275.Finally, GCF of Fractions for 136/75, 698/59, 412/563 is 2/2491275.