How to Find GCF of 2504/234, 4488/9617?

GCF of 2504/234, 4488/9617

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 2504/234, 4488/9617 i.e 8/2250378 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2504/234, 4488/9617.

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 2504/234,4488/9617?

Given fractions are 2504/234,4488/9617

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 2504/234,4488/9617, numerators are 2504,4488

Denominators are 234,9617

The GCF of 2504,4488 is 8 .

LCM of 234,9617 is 2250378.

The greatest common factor of 2504/234,4488/9617 = [GCF of 2504,4488]/[LCM of 234,9617]= 8/2250378

Therefore, the GCF of 2504/234,4488/9617 is 8/2250378.

Greatest Common Factor of 2504,4488

To find the highest common factor of 2504,4488, we have to find the factors of both numbers and list the highest common factor.

The factors of 2504 are 1, 2, 4, 8, 313, 626, 1252, 2504

The factors of 4488 are 1, 2, 3, 4, 6, 8, 11, 12, 17, 22, 24, 33, 34, 44, 51, 66, 68, 88, 102, 132, 136, 187, 204, 264, 374, 408, 561, 748, 1122, 1496, 2244, 4488

The HCF of 2504,4488 is 8.

Lets's calculate GCF of 2504,4488

Greatest Common Factor (GCF) of 2504,4488 By Common Division

2	2504, 4488
2	1252, 2244
2	626, 1122
	313, 561

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 2504,4488 By Matching Biggest Common Factor Method

Now, list down the factors of 2504

1,2,4,8,313,626,1252,2504

Now, list down the factors of 4488

1,2,3,4,6,8,11,12,17,22,24,33,34,44,51,66,68,88,102,132,136,187,204,264,374,408,561,748,1122,1496,2244,4488

Greatest Common Factor

We found the factors 2504,4488 . The biggest common factor number is the GCF number.
So the greatest common factor 2504,4488 is 8.

Lets's calculate LCM of 234,9617

Lowest Common Multiple of 234,9617 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2250378

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/2250378

Therefore, the GCF of Fractions 2504/234,4488/9617 is 8/2250378

Least Common Multiple of 234,9617 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 234,9617 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(234,9617) = 1

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

GCF(234,9617) x common factors =1 x 1 = 1

LCM(234,9617) = ( 234 × 9617 ) / 1

LCM(234,9617) = 2250378 / 1

LCM(234,9617) = 2250378

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2504/234, 4488/9617

1. What is the HCF of 2504,4488?

The HCF of 2504,4488 is 8

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 2504/234, 4488/9617?

Answer: GCF of Numerators as per given numbers 2504/234, 4488/9617 is

GCF of Numerators i.e. for 2504,4488 is 8

LCM of denominators i.e. for 234,9617 is 2250378.

Thus, GCF of Fractions is 8/2250378.Finally, GCF of Fractions for 2504/234, 4488/9617 is 8/2250378.