Greatest Common Factor of 92/897, 19/678, 145/758

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 92/897, 19/678, 145/758

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 92/897,19/678,145/758

Given fractions are 92/897,19/678,145/758

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 92,19,145

Greatest Common Factor of Numerators i.e. GCF of 92,19,145 is 1 .

LCM of Denominators means LCM of 897,678,758 as per the given fractions.

LCM of 897,678,758 is 76831638 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 92,19,145

GCF of Fractions 92/897,19/678,145/758 is 1/76831638

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

Greatest Common Factor of 92,19,145 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,19,145 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 145

List of positive integer factors of 145 that divides 145 without a remainder.

1,5,29,145

Greatest Common Factor

We found the factors 92,19,145 . The biggest common factor number is the GCF number.
So the greatest common factor 92,19,145 is 1.

Lets's calculate LCM of 897,678,758

2 897, 678, 758
3 897, 339, 379
299, 113, 379

∴ So the LCM of the given numbers is 2 x 3 x 299 x 113 x 379 = 76831638

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/76831638

Therefore, the GCF of Fractions 92/897,19/678,145/758 is 1/76831638

Least Common Multiple of 897,678,758 with GCF Formula

Least Common Multiple of 897,678,758 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 897,678,758 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(897,678,758) = 1

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

GCF(897,678,758) x common factors =1 x 6 = 6

LCM(897,678,758) = ( 897 × 678 × 758 ) / 6

LCM(897,678,758) = 460989828 / 6

LCM(897,678,758) = 76831638


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 92/897, 19/678, 145/758

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 92/897, 19/678, 145/758?

Answer: GCF of Numerators as per given numbers 92/897, 19/678, 145/758 is

GCF of Numerators i.e. for 92,19,145 is 1

LCM of denominators i.e. for 897,678,758 is 76831638.

Thus, GCF of Fractions is 1/76831638.Finally, GCF of Fractions for 92/897, 19/678, 145/758 is 1/76831638.