Greatest Common Factor of 364/45, 126/58, 944/17

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 364/45, 126/58, 944/17

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 364/45,126/58,944/17

Given fractions are 364/45,126/58,944/17

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 364,126,944

Greatest Common Factor of Numerators i.e. GCF of 364,126,944 is 2 .

LCM of Denominators means LCM of 45,58,17 as per the given fractions.

LCM of 45,58,17 is 44370 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 364,126,944

GCF of Fractions 364/45,126/58,944/17 is 2/44370

2 364, 126, 944
182, 63, 472

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

Greatest Common Factor of 364,126,944 By Matching Biggest Common Factor Method

Greatest Common Factor of 364,126,944 By Matching Biggest Common Factor Method

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Factors of 944

List of positive integer factors of 944 that divides 944 without a remainder.

1,2,4,8,16,59,118,236,472,944

Greatest Common Factor

We found the factors 364,126,944 . The biggest common factor number is the GCF number.
So the greatest common factor 364,126,944 is 2.

Lets's calculate LCM of 45,58,17

Given numbers has no common factors except 1. So, there LCM is their product i.e 44370

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/44370

Therefore, the GCF of Fractions 364/45,126/58,944/17 is 2/44370

Least Common Multiple of 45,58,17 with GCF Formula

Least Common Multiple of 45,58,17 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 45,58,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,58,17) = 1

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

GCF(45,58,17) x common factors =1 x 1 = 1

LCM(45,58,17) = ( 45 × 58 × 17 ) / 1

LCM(45,58,17) = 44370 / 1

LCM(45,58,17) = 44370


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 364/45, 126/58, 944/17

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 364/45, 126/58, 944/17?

Answer: GCF of Numerators as per given numbers 364/45, 126/58, 944/17 is

GCF of Numerators i.e. for 364,126,944 is 2

LCM of denominators i.e. for 45,58,17 is 44370.

Thus, GCF of Fractions is 2/44370.Finally, GCF of Fractions for 364/45, 126/58, 944/17 is 2/44370.