Greatest Common Factor of 1358/45, 6335/374

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1358/45, 6335/374

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 1358/45,6335/374

Given fractions are 1358/45,6335/374

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 1358,6335

Greatest Common Factor of Numerators i.e. GCF of 1358,6335 is 7 .

LCM of Denominators means LCM of 45,374 as per the given fractions.

LCM of 45,374 is 16830 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1358,6335

GCF of Fractions 1358/45,6335/374 is 7/16830

7 1358, 6335
194, 905

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 1358,6335 By Matching Biggest Common Factor Method

Greatest Common Factor of 1358,6335 By Matching Biggest Common Factor Method

Factors of 1358

List of positive integer factors of 1358 that divides 1358 without a remainder.

1,2,7,14,97,194,679,1358

Factors of 6335

List of positive integer factors of 6335 that divides 6335 without a remainder.

1,5,7,35,181,905,1267,6335

Greatest Common Factor

We found the factors 1358,6335 . The biggest common factor number is the GCF number.
So the greatest common factor 1358,6335 is 7.

Lets's calculate LCM of 45,374

Given numbers has no common factors except 1. So, there LCM is their product i.e 16830

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/16830

Therefore, the GCF of Fractions 1358/45,6335/374 is 7/16830

Least Common Multiple of 45,374 with GCF Formula

Least Common Multiple of 45,374 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 45,374 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,374) = 1

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

GCF(45,374) x common factors =1 x 1 = 1

LCM(45,374) = ( 45 × 374 ) / 1

LCM(45,374) = 16830 / 1

LCM(45,374) = 16830


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 1358/45, 6335/374

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 1358/45, 6335/374?

Answer: GCF of Numerators as per given numbers 1358/45, 6335/374 is

GCF of Numerators i.e. for 1358,6335 is 7

LCM of denominators i.e. for 45,374 is 16830.

Thus, GCF of Fractions is 7/16830.Finally, GCF of Fractions for 1358/45, 6335/374 is 7/16830.