How to Find GCF of 20/798, 53/895, 922/478?

GCF of 20/798, 53/895, 922/478

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 20/798, 53/895, 922/478 i.e 1/170696190 easily. The following is the detailed procedure to determine the greatest common factor of fractions 20/798, 53/895, 922/478.

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 20/798,53/895,922/478?

Given fractions are 20/798,53/895,922/478

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 20/798,53/895,922/478, numerators are 20,53,922

Denominators are 798,895,478

The GCF of 20,53,922 is 1 .

LCM of 798,895,478 is 170696190.

The greatest common factor of 20/798,53/895,922/478 = [GCF of 20,53,922]/[LCM of 798,895,478]= 1/170696190

Therefore, the GCF of 20/798,53/895,922/478 is 1/170696190.

Greatest Common Factor of 20,53,922

To find the highest common factor of 20,53,922, we have to find the factors of both numbers and list the highest common factor.

The factors of 20 are 1, 2, 4, 5, 10, 20

The factors of 53 are 1, 53

The factors of 922 are 1, 2, 461, 922

The HCF of 20,53,922 is 1.

Lets's calculate GCF of 20,53,922

Greatest Common Factor (GCF) of 20,53,922 By Common Division

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

Greatest Common Factor of 20,53,922 By Matching Biggest Common Factor Method

Now, list down the factors of 20

1,2,4,5,10,20

Now, list down the factors of 53

1,53

Now, list down the factors of 922

1,2,461,922

Greatest Common Factor

We found the factors 20,53,922 . The biggest common factor number is the GCF number.
So the greatest common factor 20,53,922 is 1.

Lets's calculate LCM of 798,895,478

Lowest Common Multiple of 798,895,478 using Common Division

2	798, 895, 478
	399, 895, 239

∴ So the LCM of the given numbers is 2 x 399 x 895 x 239 = 170696190

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/170696190

Therefore, the GCF of Fractions 20/798,53/895,922/478 is 1/170696190

Least Common Multiple of 798,895,478 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 798,895,478 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(798,895,478) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(798,895,478) x common factors =1 x 2 = 2

LCM(798,895,478) = ( 798 × 895 × 478 ) / 2

LCM(798,895,478) = 341392380 / 2

LCM(798,895,478) = 170696190

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 20/798, 53/895, 922/478

1. What is the HCF of 20,53,922?

The HCF of 20,53,922 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 20/798, 53/895, 922/478?

Answer: GCF of Numerators as per given numbers 20/798, 53/895, 922/478 is

GCF of Numerators i.e. for 20,53,922 is 1

LCM of denominators i.e. for 798,895,478 is 170696190.

Thus, GCF of Fractions is 1/170696190.Finally, GCF of Fractions for 20/798, 53/895, 922/478 is 1/170696190.