How to Find GCF of 427/144, 8049/676?

GCF of 427/144, 8049/676

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 427/144, 8049/676 i.e 1/24336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 427/144, 8049/676.

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 427/144,8049/676?

Given fractions are 427/144,8049/676

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 427/144,8049/676, numerators are 427,8049

Denominators are 144,676

The GCF of 427,8049 is 1 .

LCM of 144,676 is 24336.

The greatest common factor of 427/144,8049/676 = [GCF of 427,8049]/[LCM of 144,676]= 1/24336

Therefore, the GCF of 427/144,8049/676 is 1/24336.

Greatest Common Factor of 427,8049

To find the highest common factor of 427,8049, we have to find the factors of both numbers and list the highest common factor.

The factors of 427 are 1, 7, 61, 427

The factors of 8049 are 1, 3, 2683, 8049

The HCF of 427,8049 is 1.

Lets's calculate GCF of 427,8049

Greatest Common Factor (GCF) of 427,8049 By Common Division

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

Greatest Common Factor of 427,8049 By Matching Biggest Common Factor Method

Now, list down the factors of 427

1,7,61,427

Now, list down the factors of 8049

1,3,2683,8049

Greatest Common Factor

We found the factors 427,8049 . The biggest common factor number is the GCF number.
So the greatest common factor 427,8049 is 1.

Lets's calculate LCM of 144,676

Lowest Common Multiple of 144,676 using Common Division

2	144, 676
2	72, 338
	36, 169

∴ So the LCM of the given numbers is 2 x 2 x 36 x 169 = 24336

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24336

Therefore, the GCF of Fractions 427/144,8049/676 is 1/24336

Least Common Multiple of 144,676 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 144,676 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(144,676) = 4

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

GCF(144,676) x common factors =4 x 1 = 4

LCM(144,676) = ( 144 × 676 ) / 4

LCM(144,676) = 97344 / 4

LCM(144,676) = 24336

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FAQs on GCF of Fractions of 427/144, 8049/676

1. What is the HCF of 427,8049?

The HCF of 427,8049 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 427/144, 8049/676?

Answer: GCF of Numerators as per given numbers 427/144, 8049/676 is

GCF of Numerators i.e. for 427,8049 is 1

LCM of denominators i.e. for 144,676 is 24336.

Thus, GCF of Fractions is 1/24336.Finally, GCF of Fractions for 427/144, 8049/676 is 1/24336.