How to Find GCF of 9146/813, 5894/7816?

GCF of 9146/813, 5894/7816

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 9146/813, 5894/7816 i.e 2/6354408 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9146/813, 5894/7816.

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 9146/813,5894/7816?

Given fractions are 9146/813,5894/7816

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 9146/813,5894/7816, numerators are 9146,5894

Denominators are 813,7816

The GCF of 9146,5894 is 2 .

LCM of 813,7816 is 6354408.

The greatest common factor of 9146/813,5894/7816 = [GCF of 9146,5894]/[LCM of 813,7816]= 2/6354408

Therefore, the GCF of 9146/813,5894/7816 is 2/6354408.

Greatest Common Factor of 9146,5894

To find the highest common factor of 9146,5894, we have to find the factors of both numbers and list the highest common factor.

The factors of 9146 are 1, 2, 17, 34, 269, 538, 4573, 9146

The factors of 5894 are 1, 2, 7, 14, 421, 842, 2947, 5894

The HCF of 9146,5894 is 2.

Lets's calculate GCF of 9146,5894

Greatest Common Factor (GCF) of 9146,5894 By Common Division

2	9146, 5894
	4573, 2947

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

Greatest Common Factor of 9146,5894 By Matching Biggest Common Factor Method

Now, list down the factors of 9146

1,2,17,34,269,538,4573,9146

Now, list down the factors of 5894

1,2,7,14,421,842,2947,5894

Greatest Common Factor

We found the factors 9146,5894 . The biggest common factor number is the GCF number.
So the greatest common factor 9146,5894 is 2.

Lets's calculate LCM of 813,7816

Lowest Common Multiple of 813,7816 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6354408

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6354408

Therefore, the GCF of Fractions 9146/813,5894/7816 is 2/6354408

Least Common Multiple of 813,7816 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 813,7816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(813,7816) = 1

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

GCF(813,7816) x common factors =1 x 1 = 1

LCM(813,7816) = ( 813 × 7816 ) / 1

LCM(813,7816) = 6354408 / 1

LCM(813,7816) = 6354408

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FAQs on GCF of Fractions of 9146/813, 5894/7816

1. What is the HCF of 9146,5894?

The HCF of 9146,5894 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 9146/813, 5894/7816?

Answer: GCF of Numerators as per given numbers 9146/813, 5894/7816 is

GCF of Numerators i.e. for 9146,5894 is 2

LCM of denominators i.e. for 813,7816 is 6354408.

Thus, GCF of Fractions is 2/6354408.Finally, GCF of Fractions for 9146/813, 5894/7816 is 2/6354408.