How to Find GCF of 5124/263, 9196/4597?

GCF of 5124/263, 9196/4597

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 5124/263, 9196/4597 i.e 4/1209011 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5124/263, 9196/4597.

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 5124/263,9196/4597?

Given fractions are 5124/263,9196/4597

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 5124/263,9196/4597, numerators are 5124,9196

Denominators are 263,4597

The GCF of 5124,9196 is 4 .

LCM of 263,4597 is 1209011.

The greatest common factor of 5124/263,9196/4597 = [GCF of 5124,9196]/[LCM of 263,4597]= 4/1209011

Therefore, the GCF of 5124/263,9196/4597 is 4/1209011.

Greatest Common Factor of 5124,9196

To find the highest common factor of 5124,9196, we have to find the factors of both numbers and list the highest common factor.

The factors of 5124 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 61, 84, 122, 183, 244, 366, 427, 732, 854, 1281, 1708, 2562, 5124

The factors of 9196 are 1, 2, 4, 11, 19, 22, 38, 44, 76, 121, 209, 242, 418, 484, 836, 2299, 4598, 9196

The HCF of 5124,9196 is 4.

Lets's calculate GCF of 5124,9196

Greatest Common Factor (GCF) of 5124,9196 By Common Division

2	5124, 9196
2	2562, 4598
	1281, 2299

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 5124,9196 By Matching Biggest Common Factor Method

Now, list down the factors of 5124

1,2,3,4,6,7,12,14,21,28,42,61,84,122,183,244,366,427,732,854,1281,1708,2562,5124

Now, list down the factors of 9196

1,2,4,11,19,22,38,44,76,121,209,242,418,484,836,2299,4598,9196

Greatest Common Factor

We found the factors 5124,9196 . The biggest common factor number is the GCF number.
So the greatest common factor 5124,9196 is 4.

Lets's calculate LCM of 263,4597

Lowest Common Multiple of 263,4597 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1209011

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1209011

Therefore, the GCF of Fractions 5124/263,9196/4597 is 4/1209011

Least Common Multiple of 263,4597 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 263,4597 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(263,4597) = 1

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

GCF(263,4597) x common factors =1 x 1 = 1

LCM(263,4597) = ( 263 × 4597 ) / 1

LCM(263,4597) = 1209011 / 1

LCM(263,4597) = 1209011

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FAQs on GCF of Fractions of 5124/263, 9196/4597

1. What is the HCF of 5124,9196?

The HCF of 5124,9196 is 4

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 5124/263, 9196/4597?

Answer: GCF of Numerators as per given numbers 5124/263, 9196/4597 is

GCF of Numerators i.e. for 5124,9196 is 4

LCM of denominators i.e. for 263,4597 is 1209011.

Thus, GCF of Fractions is 4/1209011.Finally, GCF of Fractions for 5124/263, 9196/4597 is 4/1209011.