Greatest Common Factor of 853/36, 586/14, 707/175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 853/36, 586/14, 707/175

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 853/36,586/14,707/175

Given fractions are 853/36,586/14,707/175

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 853,586,707

Greatest Common Factor of Numerators i.e. GCF of 853,586,707 is 1 .

LCM of Denominators means LCM of 36,14,175 as per the given fractions.

LCM of 36,14,175 is 6300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 853,586,707

GCF of Fractions 853/36,586/14,707/175 is 1/6300

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

Greatest Common Factor of 853,586,707 By Matching Biggest Common Factor Method

Greatest Common Factor of 853,586,707 By Matching Biggest Common Factor Method

Factors of 853

List of positive integer factors of 853 that divides 853 without a remainder.

1,853

Factors of 586

List of positive integer factors of 586 that divides 586 without a remainder.

1,2,293,586

Factors of 707

List of positive integer factors of 707 that divides 707 without a remainder.

1,7,101,707

Greatest Common Factor

We found the factors 853,586,707 . The biggest common factor number is the GCF number.
So the greatest common factor 853,586,707 is 1.

Lets's calculate LCM of 36,14,175

2 36, 14, 175
7 18, 7, 175
18, 1, 25

∴ So the LCM of the given numbers is 2 x 7 x 18 x 1 x 25 = 6300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6300

Therefore, the GCF of Fractions 853/36,586/14,707/175 is 1/6300

Least Common Multiple of 36,14,175 with GCF Formula

Least Common Multiple of 36,14,175 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 36,14,175 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,14,175) = 1

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

GCF(36,14,175) x common factors =1 x 14 = 14

LCM(36,14,175) = ( 36 × 14 × 175 ) / 14

LCM(36,14,175) = 88200 / 14

LCM(36,14,175) = 6300


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 853/36, 586/14, 707/175

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 853/36, 586/14, 707/175?

Answer: GCF of Numerators as per given numbers 853/36, 586/14, 707/175 is

GCF of Numerators i.e. for 853,586,707 is 1

LCM of denominators i.e. for 36,14,175 is 6300.

Thus, GCF of Fractions is 1/6300.Finally, GCF of Fractions for 853/36, 586/14, 707/175 is 1/6300.