Greatest Common Factor of 895/44, 788/87, 494/34

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 895/44, 788/87, 494/34

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 895/44,788/87,494/34

Given fractions are 895/44,788/87,494/34

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 895,788,494

Greatest Common Factor of Numerators i.e. GCF of 895,788,494 is 1 .

LCM of Denominators means LCM of 44,87,34 as per the given fractions.

LCM of 44,87,34 is 65076 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 895,788,494

GCF of Fractions 895/44,788/87,494/34 is 1/65076

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

Greatest Common Factor of 895,788,494 By Matching Biggest Common Factor Method

Greatest Common Factor of 895,788,494 By Matching Biggest Common Factor Method

Factors of 895

List of positive integer factors of 895 that divides 895 without a remainder.

1,5,179,895

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Greatest Common Factor

We found the factors 895,788,494 . The biggest common factor number is the GCF number.
So the greatest common factor 895,788,494 is 1.

Lets's calculate LCM of 44,87,34

2 44, 87, 34
22, 87, 17

∴ So the LCM of the given numbers is 2 x 22 x 87 x 17 = 65076

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65076

Therefore, the GCF of Fractions 895/44,788/87,494/34 is 1/65076

Least Common Multiple of 44,87,34 with GCF Formula

Least Common Multiple of 44,87,34 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 44,87,34 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,87,34) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(44,87,34) x common factors =1 x 2 = 2

LCM(44,87,34) = ( 44 × 87 × 34 ) / 2

LCM(44,87,34) = 130152 / 2

LCM(44,87,34) = 65076


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 895/44, 788/87, 494/34

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 895/44, 788/87, 494/34?

Answer: GCF of Numerators as per given numbers 895/44, 788/87, 494/34 is

GCF of Numerators i.e. for 895,788,494 is 1

LCM of denominators i.e. for 44,87,34 is 65076.

Thus, GCF of Fractions is 1/65076.Finally, GCF of Fractions for 895/44, 788/87, 494/34 is 1/65076.