How to Find GCF of 28/90, 53/929, 937/979?

GCF of 28/90, 53/929, 937/979

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 28/90, 53/929, 937/979 i.e 1/81854190 easily. The following is the detailed procedure to determine the greatest common factor of fractions 28/90, 53/929, 937/979.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 28/90,53/929,937/979?

Given fractions are 28/90,53/929,937/979

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 28/90,53/929,937/979, numerators are 28,53,937

Denominators are 90,929,979

The GCF of 28,53,937 is 1 .

LCM of 90,929,979 is 81854190.

The greatest common factor of 28/90,53/929,937/979 = [GCF of 28,53,937]/[LCM of 90,929,979]= 1/81854190

Therefore, the GCF of 28/90,53/929,937/979 is 1/81854190.

Greatest Common Factor of 28,53,937

To find the highest common factor of 28,53,937, we have to find the factors of both numbers and list the highest common factor.

The factors of 28 are 1, 2, 4, 7, 14, 28

The factors of 53 are 1, 53

The factors of 937 are 1, 937

The HCF of 28,53,937 is 1.

Lets's calculate GCF of 28,53,937

Greatest Common Factor (GCF) of 28,53,937 By Common Division

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

Greatest Common Factor of 28,53,937 By Matching Biggest Common Factor Method

Now, list down the factors of 28

1,2,4,7,14,28

Now, list down the factors of 53

1,53

Now, list down the factors of 937

1,937

Greatest Common Factor

We found the factors 28,53,937 . The biggest common factor number is the GCF number.
So the greatest common factor 28,53,937 is 1.

Lets's calculate LCM of 90,929,979

Lowest Common Multiple of 90,929,979 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 81854190

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/81854190

Therefore, the GCF of Fractions 28/90,53/929,937/979 is 1/81854190

Least Common Multiple of 90,929,979 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 90,929,979 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,929,979) = 1

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

GCF(90,929,979) x common factors =1 x 1 = 1

LCM(90,929,979) = ( 90 × 929 × 979 ) / 1

LCM(90,929,979) = 81854190 / 1

LCM(90,929,979) = 81854190

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 28/90, 53/929, 937/979

1. What is the HCF of 28,53,937?

The HCF of 28,53,937 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 28/90, 53/929, 937/979?

Answer: GCF of Numerators as per given numbers 28/90, 53/929, 937/979 is

GCF of Numerators i.e. for 28,53,937 is 1

LCM of denominators i.e. for 90,929,979 is 81854190.

Thus, GCF of Fractions is 1/81854190.Finally, GCF of Fractions for 28/90, 53/929, 937/979 is 1/81854190.