How to Find GCF of 2596/238, 5406/9096?

GCF of 2596/238, 5406/9096

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 2596/238, 5406/9096 i.e 2/1082424 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2596/238, 5406/9096.

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 2596/238,5406/9096?

Given fractions are 2596/238,5406/9096

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 2596/238,5406/9096, numerators are 2596,5406

Denominators are 238,9096

The GCF of 2596,5406 is 2 .

LCM of 238,9096 is 1082424.

The greatest common factor of 2596/238,5406/9096 = [GCF of 2596,5406]/[LCM of 238,9096]= 2/1082424

Therefore, the GCF of 2596/238,5406/9096 is 2/1082424.

Greatest Common Factor of 2596,5406

To find the highest common factor of 2596,5406, we have to find the factors of both numbers and list the highest common factor.

The factors of 2596 are 1, 2, 4, 11, 22, 44, 59, 118, 236, 649, 1298, 2596

The factors of 5406 are 1, 2, 3, 6, 17, 34, 51, 53, 102, 106, 159, 318, 901, 1802, 2703, 5406

The HCF of 2596,5406 is 2.

Lets's calculate GCF of 2596,5406

Greatest Common Factor (GCF) of 2596,5406 By Common Division

2	2596, 5406
	1298, 2703

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

Greatest Common Factor of 2596,5406 By Matching Biggest Common Factor Method

Now, list down the factors of 2596

1,2,4,11,22,44,59,118,236,649,1298,2596

Now, list down the factors of 5406

1,2,3,6,17,34,51,53,102,106,159,318,901,1802,2703,5406

Greatest Common Factor

We found the factors 2596,5406 . The biggest common factor number is the GCF number.
So the greatest common factor 2596,5406 is 2.

Lets's calculate LCM of 238,9096

Lowest Common Multiple of 238,9096 using Common Division

2	238, 9096
	119, 4548

∴ So the LCM of the given numbers is 2 x 119 x 4548 = 1082424

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1082424

Therefore, the GCF of Fractions 2596/238,5406/9096 is 2/1082424

Least Common Multiple of 238,9096 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 238,9096 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(238,9096) = 2

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

GCF(238,9096) x common factors =2 x 1 = 2

LCM(238,9096) = ( 238 × 9096 ) / 2

LCM(238,9096) = 2164848 / 2

LCM(238,9096) = 1082424

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FAQs on GCF of Fractions of 2596/238, 5406/9096

1. What is the HCF of 2596,5406?

The HCF of 2596,5406 is 2

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 2596/238, 5406/9096?

Answer: GCF of Numerators as per given numbers 2596/238, 5406/9096 is

GCF of Numerators i.e. for 2596,5406 is 2

LCM of denominators i.e. for 238,9096 is 1082424.

Thus, GCF of Fractions is 2/1082424.Finally, GCF of Fractions for 2596/238, 5406/9096 is 2/1082424.