How to Find GCF of 2398/786, 4994/8268?

GCF of 2398/786, 4994/8268

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 2398/786, 4994/8268 i.e 22/1083108 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2398/786, 4994/8268.

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 2398/786,4994/8268?

Given fractions are 2398/786,4994/8268

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 2398/786,4994/8268, numerators are 2398,4994

Denominators are 786,8268

The GCF of 2398,4994 is 22 .

LCM of 786,8268 is 1083108.

The greatest common factor of 2398/786,4994/8268 = [GCF of 2398,4994]/[LCM of 786,8268]= 22/1083108

Therefore, the GCF of 2398/786,4994/8268 is 22/1083108.

Greatest Common Factor of 2398,4994

To find the highest common factor of 2398,4994, we have to find the factors of both numbers and list the highest common factor.

The factors of 2398 are 1, 2, 11, 22, 109, 218, 1199, 2398

The factors of 4994 are 1, 2, 11, 22, 227, 454, 2497, 4994

The HCF of 2398,4994 is 22.

Lets's calculate GCF of 2398,4994

Greatest Common Factor (GCF) of 2398,4994 By Common Division

2	2398, 4994
11	1199, 2497
	109, 227

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 2398,4994 By Matching Biggest Common Factor Method

Now, list down the factors of 2398

1,2,11,22,109,218,1199,2398

Now, list down the factors of 4994

1,2,11,22,227,454,2497,4994

Greatest Common Factor

We found the factors 2398,4994 . The biggest common factor number is the GCF number.
So the greatest common factor 2398,4994 is 22.

Lets's calculate LCM of 786,8268

Lowest Common Multiple of 786,8268 using Common Division

2	786, 8268
3	393, 4134
	131, 1378

∴ So the LCM of the given numbers is 2 x 3 x 131 x 1378 = 1083108

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/1083108

Therefore, the GCF of Fractions 2398/786,4994/8268 is 22/1083108

Least Common Multiple of 786,8268 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 786,8268 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(786,8268) = 6

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

GCF(786,8268) x common factors =6 x 1 = 6

LCM(786,8268) = ( 786 × 8268 ) / 6

LCM(786,8268) = 6498648 / 6

LCM(786,8268) = 1083108

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FAQs on GCF of Fractions of 2398/786, 4994/8268

1. What is the HCF of 2398,4994?

The HCF of 2398,4994 is 22

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 2398/786, 4994/8268?

Answer: GCF of Numerators as per given numbers 2398/786, 4994/8268 is

GCF of Numerators i.e. for 2398,4994 is 22

LCM of denominators i.e. for 786,8268 is 1083108.

Thus, GCF of Fractions is 22/1083108.Finally, GCF of Fractions for 2398/786, 4994/8268 is 22/1083108.