Greatest Common Factor of 69/42, 37/45, 984/560

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 69/42, 37/45, 984/560

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 69/42,37/45,984/560

Given fractions are 69/42,37/45,984/560

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 69,37,984

Greatest Common Factor of Numerators i.e. GCF of 69,37,984 is 1 .

LCM of Denominators means LCM of 42,45,560 as per the given fractions.

LCM of 42,45,560 is 5040 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 69,37,984

GCF of Fractions 69/42,37/45,984/560 is 1/5040

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

Greatest Common Factor of 69,37,984 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,37,984 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 37

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

1,37

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Greatest Common Factor

We found the factors 69,37,984 . The biggest common factor number is the GCF number.
So the greatest common factor 69,37,984 is 1.

Lets's calculate LCM of 42,45,560

2 42, 45, 560
3 21, 45, 280
5 7, 15, 280
7 7, 3, 56
1, 3, 8

∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 1 x 3 x 8 = 5040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5040

Therefore, the GCF of Fractions 69/42,37/45,984/560 is 1/5040

Least Common Multiple of 42,45,560 with GCF Formula

Least Common Multiple of 42,45,560 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 42,45,560 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,45,560) = 1

common factors(in case of two or more numbers have common factors) = 210

GCF(42,45,560) x common factors =1 x 210 = 210

LCM(42,45,560) = ( 42 × 45 × 560 ) / 210

LCM(42,45,560) = 1058400 / 210

LCM(42,45,560) = 5040


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 69/42, 37/45, 984/560

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 69/42, 37/45, 984/560?

Answer: GCF of Numerators as per given numbers 69/42, 37/45, 984/560 is

GCF of Numerators i.e. for 69,37,984 is 1

LCM of denominators i.e. for 42,45,560 is 5040.

Thus, GCF of Fractions is 1/5040.Finally, GCF of Fractions for 69/42, 37/45, 984/560 is 1/5040.