How to Find GCF of 8926/428, 9126/8135?

GCF of 8926/428, 9126/8135

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 8926/428, 9126/8135 i.e 2/3481780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8926/428, 9126/8135.

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 8926/428,9126/8135?

Given fractions are 8926/428,9126/8135

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 8926/428,9126/8135, numerators are 8926,9126

Denominators are 428,8135

The GCF of 8926,9126 is 2 .

LCM of 428,8135 is 3481780.

The greatest common factor of 8926/428,9126/8135 = [GCF of 8926,9126]/[LCM of 428,8135]= 2/3481780

Therefore, the GCF of 8926/428,9126/8135 is 2/3481780.

Greatest Common Factor of 8926,9126

To find the highest common factor of 8926,9126, we have to find the factors of both numbers and list the highest common factor.

The factors of 8926 are 1, 2, 4463, 8926

The factors of 9126 are 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 169, 234, 338, 351, 507, 702, 1014, 1521, 3042, 4563, 9126

The HCF of 8926,9126 is 2.

Lets's calculate GCF of 8926,9126

Greatest Common Factor (GCF) of 8926,9126 By Common Division

2	8926, 9126
	4463, 4563

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

Greatest Common Factor of 8926,9126 By Matching Biggest Common Factor Method

Now, list down the factors of 8926

1,2,4463,8926

Now, list down the factors of 9126

1,2,3,6,9,13,18,26,27,39,54,78,117,169,234,338,351,507,702,1014,1521,3042,4563,9126

Greatest Common Factor

We found the factors 8926,9126 . The biggest common factor number is the GCF number.
So the greatest common factor 8926,9126 is 2.

Lets's calculate LCM of 428,8135

Lowest Common Multiple of 428,8135 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3481780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3481780

Therefore, the GCF of Fractions 8926/428,9126/8135 is 2/3481780

Least Common Multiple of 428,8135 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 428,8135 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(428,8135) = 1

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

GCF(428,8135) x common factors =1 x 1 = 1

LCM(428,8135) = ( 428 × 8135 ) / 1

LCM(428,8135) = 3481780 / 1

LCM(428,8135) = 3481780

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FAQs on GCF of Fractions of 8926/428, 9126/8135

1. What is the HCF of 8926,9126?

The HCF of 8926,9126 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 8926/428, 9126/8135?

Answer: GCF of Numerators as per given numbers 8926/428, 9126/8135 is

GCF of Numerators i.e. for 8926,9126 is 2

LCM of denominators i.e. for 428,8135 is 3481780.

Thus, GCF of Fractions is 2/3481780.Finally, GCF of Fractions for 8926/428, 9126/8135 is 2/3481780.