Greatest Common Factor of 85/67, 10/45, 428/747

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 85/67, 10/45, 428/747

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 85/67,10/45,428/747

Given fractions are 85/67,10/45,428/747

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 85,10,428

Greatest Common Factor of Numerators i.e. GCF of 85,10,428 is 1 .

LCM of Denominators means LCM of 67,45,747 as per the given fractions.

LCM of 67,45,747 is 250245 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 85,10,428

GCF of Fractions 85/67,10/45,428/747 is 1/250245

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

Greatest Common Factor of 85,10,428 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,10,428 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Greatest Common Factor

We found the factors 85,10,428 . The biggest common factor number is the GCF number.
So the greatest common factor 85,10,428 is 1.

Lets's calculate LCM of 67,45,747

3 67, 45, 747
3 67, 15, 249
67, 5, 83

∴ So the LCM of the given numbers is 3 x 3 x 67 x 5 x 83 = 250245

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/250245

Therefore, the GCF of Fractions 85/67,10/45,428/747 is 1/250245

Least Common Multiple of 67,45,747 with GCF Formula

Least Common Multiple of 67,45,747 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 67,45,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,45,747) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(67,45,747) x common factors =1 x 9 = 9

LCM(67,45,747) = ( 67 × 45 × 747 ) / 9

LCM(67,45,747) = 2252205 / 9

LCM(67,45,747) = 250245


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 85/67, 10/45, 428/747

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 85/67, 10/45, 428/747?

Answer: GCF of Numerators as per given numbers 85/67, 10/45, 428/747 is

GCF of Numerators i.e. for 85,10,428 is 1

LCM of denominators i.e. for 67,45,747 is 250245.

Thus, GCF of Fractions is 1/250245.Finally, GCF of Fractions for 85/67, 10/45, 428/747 is 1/250245.