Greatest Common Factor of 95/285, 165/199, 754/785

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 95/285, 165/199, 754/785

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 95/285,165/199,754/785

Given fractions are 95/285,165/199,754/785

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 95,165,754

Greatest Common Factor of Numerators i.e. GCF of 95,165,754 is 1 .

LCM of Denominators means LCM of 285,199,785 as per the given fractions.

LCM of 285,199,785 is 8904255 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 95,165,754

GCF of Fractions 95/285,165/199,754/785 is 1/8904255

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

Greatest Common Factor of 95,165,754 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,165,754 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Greatest Common Factor

We found the factors 95,165,754 . The biggest common factor number is the GCF number.
So the greatest common factor 95,165,754 is 1.

Lets's calculate LCM of 285,199,785

5 285, 199, 785
57, 199, 157

∴ So the LCM of the given numbers is 5 x 57 x 199 x 157 = 8904255

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8904255

Therefore, the GCF of Fractions 95/285,165/199,754/785 is 1/8904255

Least Common Multiple of 285,199,785 with GCF Formula

Least Common Multiple of 285,199,785 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 285,199,785 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(285,199,785) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(285,199,785) x common factors =1 x 5 = 5

LCM(285,199,785) = ( 285 × 199 × 785 ) / 5

LCM(285,199,785) = 44521275 / 5

LCM(285,199,785) = 8904255


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 95/285, 165/199, 754/785

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 95/285, 165/199, 754/785?

Answer: GCF of Numerators as per given numbers 95/285, 165/199, 754/785 is

GCF of Numerators i.e. for 95,165,754 is 1

LCM of denominators i.e. for 285,199,785 is 8904255.

Thus, GCF of Fractions is 1/8904255.Finally, GCF of Fractions for 95/285, 165/199, 754/785 is 1/8904255.