How to Find GCF of 5428/903, 7561/8524?

GCF of 5428/903, 7561/8524

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 5428/903, 7561/8524 i.e 1/7697172 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5428/903, 7561/8524.

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 5428/903,7561/8524?

Given fractions are 5428/903,7561/8524

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 5428/903,7561/8524, numerators are 5428,7561

Denominators are 903,8524

The GCF of 5428,7561 is 1 .

LCM of 903,8524 is 7697172.

The greatest common factor of 5428/903,7561/8524 = [GCF of 5428,7561]/[LCM of 903,8524]= 1/7697172

Therefore, the GCF of 5428/903,7561/8524 is 1/7697172.

Greatest Common Factor of 5428,7561

To find the highest common factor of 5428,7561, we have to find the factors of both numbers and list the highest common factor.

The factors of 5428 are 1, 2, 4, 23, 46, 59, 92, 118, 236, 1357, 2714, 5428

The factors of 7561 are 1, 7561

The HCF of 5428,7561 is 1.

Lets's calculate GCF of 5428,7561

Greatest Common Factor (GCF) of 5428,7561 By Common Division

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

Greatest Common Factor of 5428,7561 By Matching Biggest Common Factor Method

Now, list down the factors of 5428

1,2,4,23,46,59,92,118,236,1357,2714,5428

Now, list down the factors of 7561

1,7561

Greatest Common Factor

We found the factors 5428,7561 . The biggest common factor number is the GCF number.
So the greatest common factor 5428,7561 is 1.

Lets's calculate LCM of 903,8524

Lowest Common Multiple of 903,8524 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7697172

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7697172

Therefore, the GCF of Fractions 5428/903,7561/8524 is 1/7697172

Least Common Multiple of 903,8524 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 903,8524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(903,8524) = 1

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

GCF(903,8524) x common factors =1 x 1 = 1

LCM(903,8524) = ( 903 × 8524 ) / 1

LCM(903,8524) = 7697172 / 1

LCM(903,8524) = 7697172

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FAQs on GCF of Fractions of 5428/903, 7561/8524

1. What is the HCF of 5428,7561?

The HCF of 5428,7561 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 5428/903, 7561/8524?

Answer: GCF of Numerators as per given numbers 5428/903, 7561/8524 is

GCF of Numerators i.e. for 5428,7561 is 1

LCM of denominators i.e. for 903,8524 is 7697172.

Thus, GCF of Fractions is 1/7697172.Finally, GCF of Fractions for 5428/903, 7561/8524 is 1/7697172.