Greatest Common Factor of 485/126, 3754/314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 485/126, 3754/314

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 485/126,3754/314

Given fractions are 485/126,3754/314

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 485,3754

Greatest Common Factor of Numerators i.e. GCF of 485,3754 is 1 .

LCM of Denominators means LCM of 126,314 as per the given fractions.

LCM of 126,314 is 19782 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 485,3754

GCF of Fractions 485/126,3754/314 is 1/19782

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

Greatest Common Factor of 485,3754 By Matching Biggest Common Factor Method

Greatest Common Factor of 485,3754 By Matching Biggest Common Factor Method

Factors of 485

List of positive integer factors of 485 that divides 485 without a remainder.

1,5,97,485

Factors of 3754

List of positive integer factors of 3754 that divides 3754 without a remainder.

1,2,1877,3754

Greatest Common Factor

We found the factors 485,3754 . The biggest common factor number is the GCF number.
So the greatest common factor 485,3754 is 1.

Lets's calculate LCM of 126,314

2 126, 314
63, 157

∴ So the LCM of the given numbers is 2 x 63 x 157 = 19782

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19782

Therefore, the GCF of Fractions 485/126,3754/314 is 1/19782

Least Common Multiple of 126,314 with GCF Formula

Least Common Multiple of 126,314 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 126,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(126,314) = 2

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

GCF(126,314) x common factors =2 x 1 = 2

LCM(126,314) = ( 126 × 314 ) / 2

LCM(126,314) = 39564 / 2

LCM(126,314) = 19782


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 485/126, 3754/314

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 485/126, 3754/314?

Answer: GCF of Numerators as per given numbers 485/126, 3754/314 is

GCF of Numerators i.e. for 485,3754 is 1

LCM of denominators i.e. for 126,314 is 19782.

Thus, GCF of Fractions is 1/19782.Finally, GCF of Fractions for 485/126, 3754/314 is 1/19782.