How to Find GCF of 552/290, 4508/497?

GCF of 552/290, 4508/497

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 552/290, 4508/497 i.e 92/144130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 552/290, 4508/497.

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 552/290,4508/497?

Given fractions are 552/290,4508/497

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 552/290,4508/497, numerators are 552,4508

Denominators are 290,497

The GCF of 552,4508 is 92 .

LCM of 290,497 is 144130.

The greatest common factor of 552/290,4508/497 = [GCF of 552,4508]/[LCM of 290,497]= 92/144130

Therefore, the GCF of 552/290,4508/497 is 92/144130.

Greatest Common Factor of 552,4508

To find the highest common factor of 552,4508, we have to find the factors of both numbers and list the highest common factor.

The factors of 552 are 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

The factors of 4508 are 1, 2, 4, 7, 14, 23, 28, 46, 49, 92, 98, 161, 196, 322, 644, 1127, 2254, 4508

The HCF of 552,4508 is 92.

Lets's calculate GCF of 552,4508

Greatest Common Factor (GCF) of 552,4508 By Common Division

2	552, 4508
2	276, 2254
23	138, 1127
	6, 49

∴ So the GCF of the given numbers is 2 x 2 x 23 = 92

Greatest Common Factor of 552,4508 By Matching Biggest Common Factor Method

Now, list down the factors of 552

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Now, list down the factors of 4508

1,2,4,7,14,23,28,46,49,92,98,161,196,322,644,1127,2254,4508

Greatest Common Factor

We found the factors 552,4508 . The biggest common factor number is the GCF number.
So the greatest common factor 552,4508 is 92.

Lets's calculate LCM of 290,497

Lowest Common Multiple of 290,497 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 144130

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 92/144130

Therefore, the GCF of Fractions 552/290,4508/497 is 92/144130

Least Common Multiple of 290,497 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 290,497 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(290,497) = 1

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

GCF(290,497) x common factors =1 x 1 = 1

LCM(290,497) = ( 290 × 497 ) / 1

LCM(290,497) = 144130 / 1

LCM(290,497) = 144130

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 552/290, 4508/497

1. What is the HCF of 552,4508?

The HCF of 552,4508 is 92

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 552/290, 4508/497?

Answer: GCF of Numerators as per given numbers 552/290, 4508/497 is

GCF of Numerators i.e. for 552,4508 is 92

LCM of denominators i.e. for 290,497 is 144130.

Thus, GCF of Fractions is 92/144130.Finally, GCF of Fractions for 552/290, 4508/497 is 92/144130.