Greatest Common Factor of 862/348, 447/736, 695/760

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 862/348, 447/736, 695/760

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 862/348,447/736,695/760

Given fractions are 862/348,447/736,695/760

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 862,447,695

Greatest Common Factor of Numerators i.e. GCF of 862,447,695 is 1 .

LCM of Denominators means LCM of 348,736,760 as per the given fractions.

LCM of 348,736,760 is 6083040 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 862,447,695

GCF of Fractions 862/348,447/736,695/760 is 1/6083040

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

Greatest Common Factor of 862,447,695 By Matching Biggest Common Factor Method

Greatest Common Factor of 862,447,695 By Matching Biggest Common Factor Method

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

Factors of 447

List of positive integer factors of 447 that divides 447 without a remainder.

1,3,149,447

Factors of 695

List of positive integer factors of 695 that divides 695 without a remainder.

1,5,139,695

Greatest Common Factor

We found the factors 862,447,695 . The biggest common factor number is the GCF number.
So the greatest common factor 862,447,695 is 1.

Lets's calculate LCM of 348,736,760

2 348, 736, 760
2 174, 368, 380
2 87, 184, 190
87, 92, 95

∴ So the LCM of the given numbers is 2 x 2 x 2 x 87 x 92 x 95 = 6083040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6083040

Therefore, the GCF of Fractions 862/348,447/736,695/760 is 1/6083040

Least Common Multiple of 348,736,760 with GCF Formula

Least Common Multiple of 348,736,760 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 348,736,760 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(348,736,760) = 4

common factors(in case of two or more numbers have common factors) = 8

GCF(348,736,760) x common factors =4 x 8 = 32

LCM(348,736,760) = ( 348 × 736 × 760 ) / 32

LCM(348,736,760) = 194657280 / 32

LCM(348,736,760) = 6083040


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 862/348, 447/736, 695/760

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 862/348, 447/736, 695/760?

Answer: GCF of Numerators as per given numbers 862/348, 447/736, 695/760 is

GCF of Numerators i.e. for 862,447,695 is 1

LCM of denominators i.e. for 348,736,760 is 6083040.

Thus, GCF of Fractions is 1/6083040.Finally, GCF of Fractions for 862/348, 447/736, 695/760 is 1/6083040.