How to Find GCF of 554/252, 5913/1664?

GCF of 554/252, 5913/1664

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 554/252, 5913/1664 i.e 1/104832 easily. The following is the detailed procedure to determine the greatest common factor of fractions 554/252, 5913/1664.

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 554/252,5913/1664?

Given fractions are 554/252,5913/1664

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 554/252,5913/1664, numerators are 554,5913

Denominators are 252,1664

The GCF of 554,5913 is 1 .

LCM of 252,1664 is 104832.

The greatest common factor of 554/252,5913/1664 = [GCF of 554,5913]/[LCM of 252,1664]= 1/104832

Therefore, the GCF of 554/252,5913/1664 is 1/104832.

Greatest Common Factor of 554,5913

To find the highest common factor of 554,5913, we have to find the factors of both numbers and list the highest common factor.

The factors of 554 are 1, 2, 277, 554

The factors of 5913 are 1, 3, 9, 27, 73, 81, 219, 657, 1971, 5913

The HCF of 554,5913 is 1.

Lets's calculate GCF of 554,5913

Greatest Common Factor (GCF) of 554,5913 By Common Division

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

Greatest Common Factor of 554,5913 By Matching Biggest Common Factor Method

Now, list down the factors of 554

1,2,277,554

Now, list down the factors of 5913

1,3,9,27,73,81,219,657,1971,5913

Greatest Common Factor

We found the factors 554,5913 . The biggest common factor number is the GCF number.
So the greatest common factor 554,5913 is 1.

Lets's calculate LCM of 252,1664

Lowest Common Multiple of 252,1664 using Common Division

2	252, 1664
2	126, 832
	63, 416

∴ So the LCM of the given numbers is 2 x 2 x 63 x 416 = 104832

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/104832

Therefore, the GCF of Fractions 554/252,5913/1664 is 1/104832

Least Common Multiple of 252,1664 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 252,1664 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(252,1664) = 4

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

GCF(252,1664) x common factors =4 x 1 = 4

LCM(252,1664) = ( 252 × 1664 ) / 4

LCM(252,1664) = 419328 / 4

LCM(252,1664) = 104832

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FAQs on GCF of Fractions of 554/252, 5913/1664

1. What is the HCF of 554,5913?

The HCF of 554,5913 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 554/252, 5913/1664?

Answer: GCF of Numerators as per given numbers 554/252, 5913/1664 is

GCF of Numerators i.e. for 554,5913 is 1

LCM of denominators i.e. for 252,1664 is 104832.

Thus, GCF of Fractions is 1/104832.Finally, GCF of Fractions for 554/252, 5913/1664 is 1/104832.