Greatest Common Factor of 145/84, 748/2390

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 145/84, 748/2390

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 145/84,748/2390

Given fractions are 145/84,748/2390

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 145,748

Greatest Common Factor of Numerators i.e. GCF of 145,748 is 1 .

LCM of Denominators means LCM of 84,2390 as per the given fractions.

LCM of 84,2390 is 100380 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 145,748

GCF of Fractions 145/84,748/2390 is 1/100380

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

Greatest Common Factor of 145,748 By Matching Biggest Common Factor Method

Greatest Common Factor of 145,748 By Matching Biggest Common Factor Method

Factors of 145

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

1,5,29,145

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Greatest Common Factor

We found the factors 145,748 . The biggest common factor number is the GCF number.
So the greatest common factor 145,748 is 1.

Lets's calculate LCM of 84,2390

2 84, 2390
42, 1195

∴ So the LCM of the given numbers is 2 x 42 x 1195 = 100380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/100380

Therefore, the GCF of Fractions 145/84,748/2390 is 1/100380

Least Common Multiple of 84,2390 with GCF Formula

Least Common Multiple of 84,2390 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 84,2390 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,2390) = 2

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

GCF(84,2390) x common factors =2 x 1 = 2

LCM(84,2390) = ( 84 × 2390 ) / 2

LCM(84,2390) = 200760 / 2

LCM(84,2390) = 100380


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 145/84, 748/2390

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 145/84, 748/2390?

Answer: GCF of Numerators as per given numbers 145/84, 748/2390 is

GCF of Numerators i.e. for 145,748 is 1

LCM of denominators i.e. for 84,2390 is 100380.

Thus, GCF of Fractions is 1/100380.Finally, GCF of Fractions for 145/84, 748/2390 is 1/100380.