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GCF of 1021/311, 8417/1454

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 1021/311, 8417/1454 i.e 1/452194 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1021/311, 8417/1454.

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 1021/311,8417/1454?

Given fractions are 1021/311,8417/1454

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 1021/311,8417/1454, numerators are 1021,8417

Denominators are 311,1454

The GCF of 1021,8417 is 1 .

LCM of 311,1454 is 452194.

The greatest common factor of 1021/311,8417/1454 = [GCF of 1021,8417]/[LCM of 311,1454]= 1/452194

Therefore, the GCF of 1021/311,8417/1454 is 1/452194.

Greatest Common Factor of 1021,8417

To find the highest common factor of 1021,8417, we have to find the factors of both numbers and list the highest common factor.

The factors of 1021 are 1, 1021

The factors of 8417 are 1, 19, 443, 8417

The HCF of 1021,8417 is 1.

Lets's calculate GCF of 1021,8417

Greatest Common Factor (GCF) of 1021,8417 By Common Division

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

Greatest Common Factor of 1021,8417 By Matching Biggest Common Factor Method

Greatest Common Factor of 1021,8417 By Matching Biggest Common Factor Method

Now, list down the factors of 1021

:

1,1021

Now, list down the factors of 8417

:

1,19,443,8417

Greatest Common Factor

We found the factors 1021,8417 . The biggest common factor number is the GCF number.
So the greatest common factor 1021,8417 is 1.

Lets's calculate LCM of 311,1454

Lowest Common Multiple of 311,1454 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 452194

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/452194

Therefore, the GCF of Fractions 1021/311,8417/1454 is 1/452194

Least Common Multiple of 311,1454 with GCF Formula

Least Common Multiple of 311,1454 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 311,1454 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(311,1454) = 1

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

GCF(311,1454) x common factors =1 x 1 = 1

LCM(311,1454) = ( 311 × 1454 ) / 1

LCM(311,1454) = 452194 / 1

LCM(311,1454) = 452194


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FAQs on GCF of Fractions of 1021/311, 8417/1454

1. What is the HCF of 1021,8417?

The HCF of 1021,8417 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 1021/311, 8417/1454?

Answer: GCF of Numerators as per given numbers 1021/311, 8417/1454 is

GCF of Numerators i.e. for 1021,8417 is 1

LCM of denominators i.e. for 311,1454 is 452194.

Thus, GCF of Fractions is 1/452194.Finally, GCF of Fractions for 1021/311, 8417/1454 is 1/452194.