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GCF of 898/54, 171/1397

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 898/54, 171/1397 i.e 1/75438 easily. The following is the detailed procedure to determine the greatest common factor of fractions 898/54, 171/1397.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 898/54,171/1397?

Given fractions are 898/54,171/1397

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 898/54,171/1397, numerators are 898,171

Denominators are 54,1397

The GCF of 898,171 is 1 .

LCM of 54,1397 is 75438.

The greatest common factor of 898/54,171/1397 = [GCF of 898,171]/[LCM of 54,1397]= 1/75438

Therefore, the GCF of 898/54,171/1397 is 1/75438.

Greatest Common Factor of 898,171

To find the highest common factor of 898,171, we have to find the factors of both numbers and list the highest common factor.

The factors of 898 are 1, 2, 449, 898

The factors of 171 are 1, 3, 9, 19, 57, 171

The HCF of 898,171 is 1.

Lets's calculate GCF of 898,171

Greatest Common Factor (GCF) of 898,171 By Common Division

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

Greatest Common Factor of 898,171 By Matching Biggest Common Factor Method

Greatest Common Factor of 898,171 By Matching Biggest Common Factor Method

Now, list down the factors of 898

:

1,2,449,898

Now, list down the factors of 171

:

1,3,9,19,57,171

Greatest Common Factor

We found the factors 898,171 . The biggest common factor number is the GCF number.
So the greatest common factor 898,171 is 1.

Lets's calculate LCM of 54,1397

Lowest Common Multiple of 54,1397 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 75438

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/75438

Therefore, the GCF of Fractions 898/54,171/1397 is 1/75438

Least Common Multiple of 54,1397 with GCF Formula

Least Common Multiple of 54,1397 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 54,1397 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,1397) = 1

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

GCF(54,1397) x common factors =1 x 1 = 1

LCM(54,1397) = ( 54 × 1397 ) / 1

LCM(54,1397) = 75438 / 1

LCM(54,1397) = 75438


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FAQs on GCF of Fractions of 898/54, 171/1397

1. What is the HCF of 898,171?

The HCF of 898,171 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 898/54, 171/1397?

Answer: GCF of Numerators as per given numbers 898/54, 171/1397 is

GCF of Numerators i.e. for 898,171 is 1

LCM of denominators i.e. for 54,1397 is 75438.

Thus, GCF of Fractions is 1/75438.Finally, GCF of Fractions for 898/54, 171/1397 is 1/75438.