How to Find GCF of 8606/598, 1144/1396?

GCF of 8606/598, 1144/1396

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 8606/598, 1144/1396 i.e 26/417404 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8606/598, 1144/1396.

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 8606/598,1144/1396?

Given fractions are 8606/598,1144/1396

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 8606/598,1144/1396, numerators are 8606,1144

Denominators are 598,1396

The GCF of 8606,1144 is 26 .

LCM of 598,1396 is 417404.

The greatest common factor of 8606/598,1144/1396 = [GCF of 8606,1144]/[LCM of 598,1396]= 26/417404

Therefore, the GCF of 8606/598,1144/1396 is 26/417404.

Greatest Common Factor of 8606,1144

To find the highest common factor of 8606,1144, we have to find the factors of both numbers and list the highest common factor.

The factors of 8606 are 1, 2, 13, 26, 331, 662, 4303, 8606

The factors of 1144 are 1, 2, 4, 8, 11, 13, 22, 26, 44, 52, 88, 104, 143, 286, 572, 1144

The HCF of 8606,1144 is 26.

Lets's calculate GCF of 8606,1144

Greatest Common Factor (GCF) of 8606,1144 By Common Division

2	8606, 1144
13	4303, 572
	331, 44

∴ So the GCF of the given numbers is 2 x 13 = 26

Greatest Common Factor of 8606,1144 By Matching Biggest Common Factor Method

Now, list down the factors of 8606

1,2,13,26,331,662,4303,8606

Now, list down the factors of 1144

1,2,4,8,11,13,22,26,44,52,88,104,143,286,572,1144

Greatest Common Factor

We found the factors 8606,1144 . The biggest common factor number is the GCF number.
So the greatest common factor 8606,1144 is 26.

Lets's calculate LCM of 598,1396

Lowest Common Multiple of 598,1396 using Common Division

2	598, 1396
	299, 698

∴ So the LCM of the given numbers is 2 x 299 x 698 = 417404

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/417404

Therefore, the GCF of Fractions 8606/598,1144/1396 is 26/417404

Least Common Multiple of 598,1396 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 598,1396 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(598,1396) = 2

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

GCF(598,1396) x common factors =2 x 1 = 2

LCM(598,1396) = ( 598 × 1396 ) / 2

LCM(598,1396) = 834808 / 2

LCM(598,1396) = 417404

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 8606/598, 1144/1396

1. What is the HCF of 8606,1144?

The HCF of 8606,1144 is 26

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 8606/598, 1144/1396?

Answer: GCF of Numerators as per given numbers 8606/598, 1144/1396 is

GCF of Numerators i.e. for 8606,1144 is 26

LCM of denominators i.e. for 598,1396 is 417404.

Thus, GCF of Fractions is 26/417404.Finally, GCF of Fractions for 8606/598, 1144/1396 is 26/417404.