Greatest Common Factor of 55/213, 304/226, 749/169

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 55/213, 304/226, 749/169

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 55/213,304/226,749/169

Given fractions are 55/213,304/226,749/169

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 55,304,749

Greatest Common Factor of Numerators i.e. GCF of 55,304,749 is 1 .

LCM of Denominators means LCM of 213,226,169 as per the given fractions.

LCM of 213,226,169 is 8135322 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 55,304,749

GCF of Fractions 55/213,304/226,749/169 is 1/8135322

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

Greatest Common Factor of 55,304,749 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,304,749 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

Greatest Common Factor

We found the factors 55,304,749 . The biggest common factor number is the GCF number.
So the greatest common factor 55,304,749 is 1.

Lets's calculate LCM of 213,226,169

Given numbers has no common factors except 1. So, there LCM is their product i.e 8135322

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8135322

Therefore, the GCF of Fractions 55/213,304/226,749/169 is 1/8135322

Least Common Multiple of 213,226,169 with GCF Formula

Least Common Multiple of 213,226,169 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 213,226,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(213,226,169) = 1

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

GCF(213,226,169) x common factors =1 x 1 = 1

LCM(213,226,169) = ( 213 × 226 × 169 ) / 1

LCM(213,226,169) = 8135322 / 1

LCM(213,226,169) = 8135322


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 55/213, 304/226, 749/169

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 55/213, 304/226, 749/169?

Answer: GCF of Numerators as per given numbers 55/213, 304/226, 749/169 is

GCF of Numerators i.e. for 55,304,749 is 1

LCM of denominators i.e. for 213,226,169 is 8135322.

Thus, GCF of Fractions is 1/8135322.Finally, GCF of Fractions for 55/213, 304/226, 749/169 is 1/8135322.