Greatest Common Factor of 874/618, 772/301, 105/784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 874/618, 772/301, 105/784

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 874/618,772/301,105/784

Given fractions are 874/618,772/301,105/784

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 874,772,105

Greatest Common Factor of Numerators i.e. GCF of 874,772,105 is 1 .

LCM of Denominators means LCM of 618,301,784 as per the given fractions.

LCM of 618,301,784 is 10417008 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 874,772,105

GCF of Fractions 874/618,772/301,105/784 is 1/10417008

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

Greatest Common Factor of 874,772,105 By Matching Biggest Common Factor Method

Greatest Common Factor of 874,772,105 By Matching Biggest Common Factor Method

Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1,2,19,23,38,46,437,874

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Greatest Common Factor

We found the factors 874,772,105 . The biggest common factor number is the GCF number.
So the greatest common factor 874,772,105 is 1.

Lets's calculate LCM of 618,301,784

2 618, 301, 784
7 309, 301, 392
309, 43, 56

∴ So the LCM of the given numbers is 2 x 7 x 309 x 43 x 56 = 10417008

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10417008

Therefore, the GCF of Fractions 874/618,772/301,105/784 is 1/10417008

Least Common Multiple of 618,301,784 with GCF Formula

Least Common Multiple of 618,301,784 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 618,301,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(618,301,784) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(618,301,784) x common factors =1 x 14 = 14

LCM(618,301,784) = ( 618 × 301 × 784 ) / 14

LCM(618,301,784) = 145838112 / 14

LCM(618,301,784) = 10417008


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 874/618, 772/301, 105/784

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 874/618, 772/301, 105/784?

Answer: GCF of Numerators as per given numbers 874/618, 772/301, 105/784 is

GCF of Numerators i.e. for 874,772,105 is 1

LCM of denominators i.e. for 618,301,784 is 10417008.

Thus, GCF of Fractions is 1/10417008.Finally, GCF of Fractions for 874/618, 772/301, 105/784 is 1/10417008.