How to Find GCF of 897/421, 422/478?

GCF of 897/421, 422/478

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 897/421, 422/478 i.e 1/201238 easily. The following is the detailed procedure to determine the greatest common factor of fractions 897/421, 422/478.

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 897/421,422/478?

Given fractions are 897/421,422/478

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 897/421,422/478, numerators are 897,422

Denominators are 421,478

The GCF of 897,422 is 1 .

LCM of 421,478 is 201238.

The greatest common factor of 897/421,422/478 = [GCF of 897,422]/[LCM of 421,478]= 1/201238

Therefore, the GCF of 897/421,422/478 is 1/201238.

Greatest Common Factor of 897,422

To find the highest common factor of 897,422, we have to find the factors of both numbers and list the highest common factor.

The factors of 897 are 1, 3, 13, 23, 39, 69, 299, 897

The factors of 422 are 1, 2, 211, 422

The HCF of 897,422 is 1.

Lets's calculate GCF of 897,422

Greatest Common Factor (GCF) of 897,422 By Common Division

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

Greatest Common Factor of 897,422 By Matching Biggest Common Factor Method

Now, list down the factors of 897

1,3,13,23,39,69,299,897

Now, list down the factors of 422

1,2,211,422

Greatest Common Factor

We found the factors 897,422 . The biggest common factor number is the GCF number.
So the greatest common factor 897,422 is 1.

Lets's calculate LCM of 421,478

Lowest Common Multiple of 421,478 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 201238

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/201238

Therefore, the GCF of Fractions 897/421,422/478 is 1/201238

Least Common Multiple of 421,478 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 421,478 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(421,478) = 1

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

GCF(421,478) x common factors =1 x 1 = 1

LCM(421,478) = ( 421 × 478 ) / 1

LCM(421,478) = 201238 / 1

LCM(421,478) = 201238

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FAQs on GCF of Fractions of 897/421, 422/478

1. What is the HCF of 897,422?

The HCF of 897,422 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 897/421, 422/478?

Answer: GCF of Numerators as per given numbers 897/421, 422/478 is

GCF of Numerators i.e. for 897,422 is 1

LCM of denominators i.e. for 421,478 is 201238.

Thus, GCF of Fractions is 1/201238.Finally, GCF of Fractions for 897/421, 422/478 is 1/201238.