How to Find GCF of 5254/522, 9749/788?

GCF of 5254/522, 9749/788

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 5254/522, 9749/788 i.e 1/205668 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5254/522, 9749/788.

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 5254/522,9749/788?

Given fractions are 5254/522,9749/788

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 5254/522,9749/788, numerators are 5254,9749

Denominators are 522,788

The GCF of 5254,9749 is 1 .

LCM of 522,788 is 205668.

The greatest common factor of 5254/522,9749/788 = [GCF of 5254,9749]/[LCM of 522,788]= 1/205668

Therefore, the GCF of 5254/522,9749/788 is 1/205668.

Greatest Common Factor of 5254,9749

To find the highest common factor of 5254,9749, we have to find the factors of both numbers and list the highest common factor.

The factors of 5254 are 1, 2, 37, 71, 74, 142, 2627, 5254

The factors of 9749 are 1, 9749

The HCF of 5254,9749 is 1.

Lets's calculate GCF of 5254,9749

Greatest Common Factor (GCF) of 5254,9749 By Common Division

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

Greatest Common Factor of 5254,9749 By Matching Biggest Common Factor Method

Now, list down the factors of 5254

1,2,37,71,74,142,2627,5254

Now, list down the factors of 9749

1,9749

Greatest Common Factor

We found the factors 5254,9749 . The biggest common factor number is the GCF number.
So the greatest common factor 5254,9749 is 1.

Lets's calculate LCM of 522,788

Lowest Common Multiple of 522,788 using Common Division

2	522, 788
	261, 394

∴ So the LCM of the given numbers is 2 x 261 x 394 = 205668

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/205668

Therefore, the GCF of Fractions 5254/522,9749/788 is 1/205668

Least Common Multiple of 522,788 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 522,788 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(522,788) = 2

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

GCF(522,788) x common factors =2 x 1 = 2

LCM(522,788) = ( 522 × 788 ) / 2

LCM(522,788) = 411336 / 2

LCM(522,788) = 205668

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FAQs on GCF of Fractions of 5254/522, 9749/788

1. What is the HCF of 5254,9749?

The HCF of 5254,9749 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 5254/522, 9749/788?

Answer: GCF of Numerators as per given numbers 5254/522, 9749/788 is

GCF of Numerators i.e. for 5254,9749 is 1

LCM of denominators i.e. for 522,788 is 205668.

Thus, GCF of Fractions is 1/205668.Finally, GCF of Fractions for 5254/522, 9749/788 is 1/205668.