Greatest Common Factor of 67/10, 938/41, 730/207

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 67/10, 938/41, 730/207

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 67/10,938/41,730/207

Given fractions are 67/10,938/41,730/207

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 67,938,730

Greatest Common Factor of Numerators i.e. GCF of 67,938,730 is 1 .

LCM of Denominators means LCM of 10,41,207 as per the given fractions.

LCM of 10,41,207 is 84870 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 67,938,730

GCF of Fractions 67/10,938/41,730/207 is 1/84870

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

Greatest Common Factor of 67,938,730 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,938,730 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 938

List of positive integer factors of 938 that divides 938 without a remainder.

1,2,7,14,67,134,469,938

Factors of 730

List of positive integer factors of 730 that divides 730 without a remainder.

1,2,5,10,73,146,365,730

Greatest Common Factor

We found the factors 67,938,730 . The biggest common factor number is the GCF number.
So the greatest common factor 67,938,730 is 1.

Lets's calculate LCM of 10,41,207

Given numbers has no common factors except 1. So, there LCM is their product i.e 84870

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/84870

Therefore, the GCF of Fractions 67/10,938/41,730/207 is 1/84870

Least Common Multiple of 10,41,207 with GCF Formula

Least Common Multiple of 10,41,207 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 10,41,207 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,41,207) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(10,41,207) x common factors =1 x 1 = 1

LCM(10,41,207) = ( 10 × 41 × 207 ) / 1

LCM(10,41,207) = 84870 / 1

LCM(10,41,207) = 84870


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 67/10, 938/41, 730/207

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 67/10, 938/41, 730/207?

Answer: GCF of Numerators as per given numbers 67/10, 938/41, 730/207 is

GCF of Numerators i.e. for 67,938,730 is 1

LCM of denominators i.e. for 10,41,207 is 84870.

Thus, GCF of Fractions is 1/84870.Finally, GCF of Fractions for 67/10, 938/41, 730/207 is 1/84870.