How to Find GCF of 5657/427, 4143/1438?

GCF of 5657/427, 4143/1438

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 5657/427, 4143/1438 i.e 1/614026 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5657/427, 4143/1438.

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 5657/427,4143/1438?

Given fractions are 5657/427,4143/1438

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 5657/427,4143/1438, numerators are 5657,4143

Denominators are 427,1438

The GCF of 5657,4143 is 1 .

LCM of 427,1438 is 614026.

The greatest common factor of 5657/427,4143/1438 = [GCF of 5657,4143]/[LCM of 427,1438]= 1/614026

Therefore, the GCF of 5657/427,4143/1438 is 1/614026.

Greatest Common Factor of 5657,4143

To find the highest common factor of 5657,4143, we have to find the factors of both numbers and list the highest common factor.

The factors of 5657 are 1, 5657

The factors of 4143 are 1, 3, 1381, 4143

The HCF of 5657,4143 is 1.

Lets's calculate GCF of 5657,4143

Greatest Common Factor (GCF) of 5657,4143 By Common Division

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

Greatest Common Factor of 5657,4143 By Matching Biggest Common Factor Method

Now, list down the factors of 5657

1,5657

Now, list down the factors of 4143

1,3,1381,4143

Greatest Common Factor

We found the factors 5657,4143 . The biggest common factor number is the GCF number.
So the greatest common factor 5657,4143 is 1.

Lets's calculate LCM of 427,1438

Lowest Common Multiple of 427,1438 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 614026

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/614026

Therefore, the GCF of Fractions 5657/427,4143/1438 is 1/614026

Least Common Multiple of 427,1438 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 427,1438 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(427,1438) = 1

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

GCF(427,1438) x common factors =1 x 1 = 1

LCM(427,1438) = ( 427 × 1438 ) / 1

LCM(427,1438) = 614026 / 1

LCM(427,1438) = 614026

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FAQs on GCF of Fractions of 5657/427, 4143/1438

1. What is the HCF of 5657,4143?

The HCF of 5657,4143 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 5657/427, 4143/1438?

Answer: GCF of Numerators as per given numbers 5657/427, 4143/1438 is

GCF of Numerators i.e. for 5657,4143 is 1

LCM of denominators i.e. for 427,1438 is 614026.

Thus, GCF of Fractions is 1/614026.Finally, GCF of Fractions for 5657/427, 4143/1438 is 1/614026.