Greatest Common Factor of 4/67, 81/56, 86/173, 822/802

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4/67, 81/56, 86/173, 822/802

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 4/67,81/56,86/173,822/802

Given fractions are 4/67,81/56,86/173,822/802

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 4,81,86,822

Greatest Common Factor of Numerators i.e. GCF of 4,81,86,822 is 1 .

LCM of Denominators means LCM of 67,56,173,802 as per the given fractions.

LCM of 67,56,173,802 is 260287496 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4,81,86,822

GCF of Fractions 4/67,81/56,86/173,822/802 is 1/260287496

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

Greatest Common Factor of 4,81,86,822 By Matching Biggest Common Factor Method

Greatest Common Factor of 4,81,86,822 By Matching Biggest Common Factor Method

Factors of 4

List of positive integer factors of 4 that divides 4 without a remainder.

1,2,4

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Greatest Common Factor

We found the factors 4,81,86,822 . The biggest common factor number is the GCF number.
So the greatest common factor 4,81,86,822 is 1.

Lets's calculate LCM of 67,56,173,802

2 67, 56, 173, 802
67, 28, 173, 401

∴ So the LCM of the given numbers is 2 x 67 x 28 x 173 x 401 = 260287496

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/260287496

Therefore, the GCF of Fractions 4/67,81/56,86/173,822/802 is 1/260287496

Least Common Multiple of 67,56,173,802 with GCF Formula

Least Common Multiple of 67,56,173,802 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 67,56,173,802 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,56,173,802) = 1

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

GCF(67,56,173,802) x common factors =1 x 2 = 2

LCM(67,56,173,802) = ( 67 × 56 × 173 × 802 ) / 2

LCM(67,56,173,802) = 520574992 / 2

LCM(67,56,173,802) = 260287496


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 4/67, 81/56, 86/173, 822/802

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 4/67, 81/56, 86/173, 822/802?

Answer: GCF of Numerators as per given numbers 4/67, 81/56, 86/173, 822/802 is

GCF of Numerators i.e. for 4,81,86,822 is 1

LCM of denominators i.e. for 67,56,173,802 is 260287496.

Thus, GCF of Fractions is 1/260287496.Finally, GCF of Fractions for 4/67, 81/56, 86/173, 822/802 is 1/260287496.