How to Find GCF of 5357/425, 3547/5132?

GCF of 5357/425, 3547/5132

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 5357/425, 3547/5132 i.e 1/2181100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5357/425, 3547/5132.

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 5357/425,3547/5132?

Given fractions are 5357/425,3547/5132

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 5357/425,3547/5132, numerators are 5357,3547

Denominators are 425,5132

The GCF of 5357,3547 is 1 .

LCM of 425,5132 is 2181100.

The greatest common factor of 5357/425,3547/5132 = [GCF of 5357,3547]/[LCM of 425,5132]= 1/2181100

Therefore, the GCF of 5357/425,3547/5132 is 1/2181100.

Greatest Common Factor of 5357,3547

To find the highest common factor of 5357,3547, we have to find the factors of both numbers and list the highest common factor.

The factors of 5357 are 1, 11, 487, 5357

The factors of 3547 are 1, 3547

The HCF of 5357,3547 is 1.

Lets's calculate GCF of 5357,3547

Greatest Common Factor (GCF) of 5357,3547 By Common Division

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

Greatest Common Factor of 5357,3547 By Matching Biggest Common Factor Method

Now, list down the factors of 5357

1,11,487,5357

Now, list down the factors of 3547

1,3547

Greatest Common Factor

We found the factors 5357,3547 . The biggest common factor number is the GCF number.
So the greatest common factor 5357,3547 is 1.

Lets's calculate LCM of 425,5132

Lowest Common Multiple of 425,5132 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2181100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2181100

Therefore, the GCF of Fractions 5357/425,3547/5132 is 1/2181100

Least Common Multiple of 425,5132 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 425,5132 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(425,5132) = 1

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

GCF(425,5132) x common factors =1 x 1 = 1

LCM(425,5132) = ( 425 × 5132 ) / 1

LCM(425,5132) = 2181100 / 1

LCM(425,5132) = 2181100

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FAQs on GCF of Fractions of 5357/425, 3547/5132

1. What is the HCF of 5357,3547?

The HCF of 5357,3547 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 5357/425, 3547/5132?

Answer: GCF of Numerators as per given numbers 5357/425, 3547/5132 is

GCF of Numerators i.e. for 5357,3547 is 1

LCM of denominators i.e. for 425,5132 is 2181100.

Thus, GCF of Fractions is 1/2181100.Finally, GCF of Fractions for 5357/425, 3547/5132 is 1/2181100.