Greatest Common Factor of 37/96, 45/42, 598/210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 37/96, 45/42, 598/210

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 37/96,45/42,598/210

Given fractions are 37/96,45/42,598/210

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 37,45,598

Greatest Common Factor of Numerators i.e. GCF of 37,45,598 is 1 .

LCM of Denominators means LCM of 96,42,210 as per the given fractions.

LCM of 96,42,210 is 3360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 37,45,598

GCF of Fractions 37/96,45/42,598/210 is 1/3360

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

Greatest Common Factor of 37,45,598 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,45,598 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 598

List of positive integer factors of 598 that divides 598 without a remainder.

1,2,13,23,26,46,299,598

Greatest Common Factor

We found the factors 37,45,598 . The biggest common factor number is the GCF number.
So the greatest common factor 37,45,598 is 1.

Lets's calculate LCM of 96,42,210

2 96, 42, 210
3 48, 21, 105
7 16, 7, 35
16, 1, 5

∴ So the LCM of the given numbers is 2 x 3 x 7 x 16 x 1 x 5 = 3360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3360

Therefore, the GCF of Fractions 37/96,45/42,598/210 is 1/3360

Least Common Multiple of 96,42,210 with GCF Formula

Least Common Multiple of 96,42,210 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 96,42,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,42,210) = 6

common factors(in case of two or more numbers have common factors) = 42

GCF(96,42,210) x common factors =6 x 42 = 252

LCM(96,42,210) = ( 96 × 42 × 210 ) / 252

LCM(96,42,210) = 846720 / 252

LCM(96,42,210) = 3360


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 37/96, 45/42, 598/210

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 37/96, 45/42, 598/210?

Answer: GCF of Numerators as per given numbers 37/96, 45/42, 598/210 is

GCF of Numerators i.e. for 37,45,598 is 1

LCM of denominators i.e. for 96,42,210 is 3360.

Thus, GCF of Fractions is 1/3360.Finally, GCF of Fractions for 37/96, 45/42, 598/210 is 1/3360.