How to Find GCF of 9158/790, 4108/1036?

GCF of 9158/790, 4108/1036

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 9158/790, 4108/1036 i.e 2/409220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9158/790, 4108/1036.

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 9158/790,4108/1036?

Given fractions are 9158/790,4108/1036

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 9158/790,4108/1036, numerators are 9158,4108

Denominators are 790,1036

The GCF of 9158,4108 is 2 .

LCM of 790,1036 is 409220.

The greatest common factor of 9158/790,4108/1036 = [GCF of 9158,4108]/[LCM of 790,1036]= 2/409220

Therefore, the GCF of 9158/790,4108/1036 is 2/409220.

Greatest Common Factor of 9158,4108

To find the highest common factor of 9158,4108, we have to find the factors of both numbers and list the highest common factor.

The factors of 9158 are 1, 2, 19, 38, 241, 482, 4579, 9158

The factors of 4108 are 1, 2, 4, 13, 26, 52, 79, 158, 316, 1027, 2054, 4108

The HCF of 9158,4108 is 2.

Lets's calculate GCF of 9158,4108

Greatest Common Factor (GCF) of 9158,4108 By Common Division

2	9158, 4108
	4579, 2054

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

Greatest Common Factor of 9158,4108 By Matching Biggest Common Factor Method

Now, list down the factors of 9158

1,2,19,38,241,482,4579,9158

Now, list down the factors of 4108

1,2,4,13,26,52,79,158,316,1027,2054,4108

Greatest Common Factor

We found the factors 9158,4108 . The biggest common factor number is the GCF number.
So the greatest common factor 9158,4108 is 2.

Lets's calculate LCM of 790,1036

Lowest Common Multiple of 790,1036 using Common Division

2	790, 1036
	395, 518

∴ So the LCM of the given numbers is 2 x 395 x 518 = 409220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/409220

Therefore, the GCF of Fractions 9158/790,4108/1036 is 2/409220

Least Common Multiple of 790,1036 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 790,1036 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(790,1036) = 2

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

GCF(790,1036) x common factors =2 x 1 = 2

LCM(790,1036) = ( 790 × 1036 ) / 2

LCM(790,1036) = 818440 / 2

LCM(790,1036) = 409220

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FAQs on GCF of Fractions of 9158/790, 4108/1036

1. What is the HCF of 9158,4108?

The HCF of 9158,4108 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 9158/790, 4108/1036?

Answer: GCF of Numerators as per given numbers 9158/790, 4108/1036 is

GCF of Numerators i.e. for 9158,4108 is 2

LCM of denominators i.e. for 790,1036 is 409220.

Thus, GCF of Fractions is 2/409220.Finally, GCF of Fractions for 9158/790, 4108/1036 is 2/409220.