Greatest Common Factor of 77/87, 95/70, 590/492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 77/87, 95/70, 590/492

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 77/87,95/70,590/492

Given fractions are 77/87,95/70,590/492

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 77,95,590

Greatest Common Factor of Numerators i.e. GCF of 77,95,590 is 1 .

LCM of Denominators means LCM of 87,70,492 as per the given fractions.

LCM of 87,70,492 is 499380 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 77,95,590

GCF of Fractions 77/87,95/70,590/492 is 1/499380

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

Greatest Common Factor of 77,95,590 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,95,590 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 95

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

1,5,19,95

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Greatest Common Factor

We found the factors 77,95,590 . The biggest common factor number is the GCF number.
So the greatest common factor 77,95,590 is 1.

Lets's calculate LCM of 87,70,492

2 87, 70, 492
3 87, 35, 246
29, 35, 82

∴ So the LCM of the given numbers is 2 x 3 x 29 x 35 x 82 = 499380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/499380

Therefore, the GCF of Fractions 77/87,95/70,590/492 is 1/499380

Least Common Multiple of 87,70,492 with GCF Formula

Least Common Multiple of 87,70,492 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 87,70,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,70,492) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(87,70,492) x common factors =1 x 6 = 6

LCM(87,70,492) = ( 87 × 70 × 492 ) / 6

LCM(87,70,492) = 2996280 / 6

LCM(87,70,492) = 499380


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 77/87, 95/70, 590/492

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 77/87, 95/70, 590/492?

Answer: GCF of Numerators as per given numbers 77/87, 95/70, 590/492 is

GCF of Numerators i.e. for 77,95,590 is 1

LCM of denominators i.e. for 87,70,492 is 499380.

Thus, GCF of Fractions is 1/499380.Finally, GCF of Fractions for 77/87, 95/70, 590/492 is 1/499380.