Greatest Common Factor of 287/58, 612/77, 986/154

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 287/58, 612/77, 986/154

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 287/58,612/77,986/154

Given fractions are 287/58,612/77,986/154

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 287,612,986

Greatest Common Factor of Numerators i.e. GCF of 287,612,986 is 1 .

LCM of Denominators means LCM of 58,77,154 as per the given fractions.

LCM of 58,77,154 is 4466 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 287,612,986

GCF of Fractions 287/58,612/77,986/154 is 1/4466

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

Greatest Common Factor of 287,612,986 By Matching Biggest Common Factor Method

Greatest Common Factor of 287,612,986 By Matching Biggest Common Factor Method

Factors of 287

List of positive integer factors of 287 that divides 287 without a remainder.

1,7,41,287

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Factors of 986

List of positive integer factors of 986 that divides 986 without a remainder.

1,2,17,29,34,58,493,986

Greatest Common Factor

We found the factors 287,612,986 . The biggest common factor number is the GCF number.
So the greatest common factor 287,612,986 is 1.

Lets's calculate LCM of 58,77,154

2 58, 77, 154
7 29, 77, 77
11 29, 11, 11
29, 1, 1

∴ So the LCM of the given numbers is 2 x 7 x 11 x 29 x 1 x 1 = 4466

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4466

Therefore, the GCF of Fractions 287/58,612/77,986/154 is 1/4466

Least Common Multiple of 58,77,154 with GCF Formula

Least Common Multiple of 58,77,154 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 58,77,154 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,77,154) = 1

common factors(in case of two or more numbers have common factors) = 154

GCF(58,77,154) x common factors =1 x 154 = 154

LCM(58,77,154) = ( 58 × 77 × 154 ) / 154

LCM(58,77,154) = 687764 / 154

LCM(58,77,154) = 4466


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 287/58, 612/77, 986/154

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 287/58, 612/77, 986/154?

Answer: GCF of Numerators as per given numbers 287/58, 612/77, 986/154 is

GCF of Numerators i.e. for 287,612,986 is 1

LCM of denominators i.e. for 58,77,154 is 4466.

Thus, GCF of Fractions is 1/4466.Finally, GCF of Fractions for 287/58, 612/77, 986/154 is 1/4466.