Greatest Common Factor of 774/91, 875/87, 385/874

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 774/91, 875/87, 385/874

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 774/91,875/87,385/874

Given fractions are 774/91,875/87,385/874

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 774,875,385

Greatest Common Factor of Numerators i.e. GCF of 774,875,385 is 1 .

LCM of Denominators means LCM of 91,87,874 as per the given fractions.

LCM of 91,87,874 is 6919458 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 774,875,385

GCF of Fractions 774/91,875/87,385/874 is 1/6919458

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

Greatest Common Factor of 774,875,385 By Matching Biggest Common Factor Method

Greatest Common Factor of 774,875,385 By Matching Biggest Common Factor Method

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Factors of 875

List of positive integer factors of 875 that divides 875 without a remainder.

1,5,7,25,35,125,175,875

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Greatest Common Factor

We found the factors 774,875,385 . The biggest common factor number is the GCF number.
So the greatest common factor 774,875,385 is 1.

Lets's calculate LCM of 91,87,874

Given numbers has no common factors except 1. So, there LCM is their product i.e 6919458

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6919458

Therefore, the GCF of Fractions 774/91,875/87,385/874 is 1/6919458

Least Common Multiple of 91,87,874 with GCF Formula

Least Common Multiple of 91,87,874 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 91,87,874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,87,874) = 1

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

GCF(91,87,874) x common factors =1 x 1 = 1

LCM(91,87,874) = ( 91 × 87 × 874 ) / 1

LCM(91,87,874) = 6919458 / 1

LCM(91,87,874) = 6919458


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 774/91, 875/87, 385/874

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 774/91, 875/87, 385/874?

Answer: GCF of Numerators as per given numbers 774/91, 875/87, 385/874 is

GCF of Numerators i.e. for 774,875,385 is 1

LCM of denominators i.e. for 91,87,874 is 6919458.

Thus, GCF of Fractions is 1/6919458.Finally, GCF of Fractions for 774/91, 875/87, 385/874 is 1/6919458.