Greatest Common Factor of 830/3767, 635/4874

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 830/3767, 635/4874

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 830/3767,635/4874

Given fractions are 830/3767,635/4874

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 830,635

Greatest Common Factor of Numerators i.e. GCF of 830,635 is 5 .

LCM of Denominators means LCM of 3767,4874 as per the given fractions.

LCM of 3767,4874 is 18360358 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 830,635

GCF of Fractions 830/3767,635/4874 is 5/18360358

5 830, 635
166, 127

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 830,635 By Matching Biggest Common Factor Method

Greatest Common Factor of 830,635 By Matching Biggest Common Factor Method

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Factors of 635

List of positive integer factors of 635 that divides 635 without a remainder.

1,5,127,635

Greatest Common Factor

We found the factors 830,635 . The biggest common factor number is the GCF number.
So the greatest common factor 830,635 is 5.

Lets's calculate LCM of 3767,4874

Given numbers has no common factors except 1. So, there LCM is their product i.e 18360358

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/18360358

Therefore, the GCF of Fractions 830/3767,635/4874 is 5/18360358

Least Common Multiple of 3767,4874 with GCF Formula

Least Common Multiple of 3767,4874 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 3767,4874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3767,4874) = 1

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

GCF(3767,4874) x common factors =1 x 1 = 1

LCM(3767,4874) = ( 3767 × 4874 ) / 1

LCM(3767,4874) = 18360358 / 1

LCM(3767,4874) = 18360358


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 830/3767, 635/4874

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 830/3767, 635/4874?

Answer: GCF of Numerators as per given numbers 830/3767, 635/4874 is

GCF of Numerators i.e. for 830,635 is 5

LCM of denominators i.e. for 3767,4874 is 18360358.

Thus, GCF of Fractions is 5/18360358.Finally, GCF of Fractions for 830/3767, 635/4874 is 5/18360358.