Greatest Common Factor of 215/75, 814/24, 677/67

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 215/75, 814/24, 677/67

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 215/75,814/24,677/67

Given fractions are 215/75,814/24,677/67

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 215,814,677

Greatest Common Factor of Numerators i.e. GCF of 215,814,677 is 1 .

LCM of Denominators means LCM of 75,24,67 as per the given fractions.

LCM of 75,24,67 is 40200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 215,814,677

GCF of Fractions 215/75,814/24,677/67 is 1/40200

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

Greatest Common Factor of 215,814,677 By Matching Biggest Common Factor Method

Greatest Common Factor of 215,814,677 By Matching Biggest Common Factor Method

Factors of 215

List of positive integer factors of 215 that divides 215 without a remainder.

1,5,43,215

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Factors of 677

List of positive integer factors of 677 that divides 677 without a remainder.

1,677

Greatest Common Factor

We found the factors 215,814,677 . The biggest common factor number is the GCF number.
So the greatest common factor 215,814,677 is 1.

Lets's calculate LCM of 75,24,67

3 75, 24, 67
25, 8, 67

∴ So the LCM of the given numbers is 3 x 25 x 8 x 67 = 40200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40200

Therefore, the GCF of Fractions 215/75,814/24,677/67 is 1/40200

Least Common Multiple of 75,24,67 with GCF Formula

Least Common Multiple of 75,24,67 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 75,24,67 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,24,67) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(75,24,67) x common factors =1 x 3 = 3

LCM(75,24,67) = ( 75 × 24 × 67 ) / 3

LCM(75,24,67) = 120600 / 3

LCM(75,24,67) = 40200


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 215/75, 814/24, 677/67

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 215/75, 814/24, 677/67?

Answer: GCF of Numerators as per given numbers 215/75, 814/24, 677/67 is

GCF of Numerators i.e. for 215,814,677 is 1

LCM of denominators i.e. for 75,24,67 is 40200.

Thus, GCF of Fractions is 1/40200.Finally, GCF of Fractions for 215/75, 814/24, 677/67 is 1/40200.