Greatest Common Factor of 109/53, 747/42, 278/598

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 109/53, 747/42, 278/598

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 109/53,747/42,278/598

Given fractions are 109/53,747/42,278/598

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 109,747,278

Greatest Common Factor of Numerators i.e. GCF of 109,747,278 is 1 .

LCM of Denominators means LCM of 53,42,598 as per the given fractions.

LCM of 53,42,598 is 665574 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 109,747,278

GCF of Fractions 109/53,747/42,278/598 is 1/665574

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

Greatest Common Factor of 109,747,278 By Matching Biggest Common Factor Method

Greatest Common Factor of 109,747,278 By Matching Biggest Common Factor Method

Factors of 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1,3,9,83,249,747

Factors of 278

List of positive integer factors of 278 that divides 278 without a remainder.

1,2,139,278

Greatest Common Factor

We found the factors 109,747,278 . The biggest common factor number is the GCF number.
So the greatest common factor 109,747,278 is 1.

Lets's calculate LCM of 53,42,598

2 53, 42, 598
53, 21, 299

∴ So the LCM of the given numbers is 2 x 53 x 21 x 299 = 665574

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/665574

Therefore, the GCF of Fractions 109/53,747/42,278/598 is 1/665574

Least Common Multiple of 53,42,598 with GCF Formula

Least Common Multiple of 53,42,598 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 53,42,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,42,598) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(53,42,598) x common factors =1 x 2 = 2

LCM(53,42,598) = ( 53 × 42 × 598 ) / 2

LCM(53,42,598) = 1331148 / 2

LCM(53,42,598) = 665574


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 109/53, 747/42, 278/598

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 109/53, 747/42, 278/598?

Answer: GCF of Numerators as per given numbers 109/53, 747/42, 278/598 is

GCF of Numerators i.e. for 109,747,278 is 1

LCM of denominators i.e. for 53,42,598 is 665574.

Thus, GCF of Fractions is 1/665574.Finally, GCF of Fractions for 109/53, 747/42, 278/598 is 1/665574.