How to Find GCF of 8146/969, 7275/9464?

GCF of 8146/969, 7275/9464

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 8146/969, 7275/9464 i.e 1/9170616 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8146/969, 7275/9464.

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 8146/969,7275/9464?

Given fractions are 8146/969,7275/9464

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 8146/969,7275/9464, numerators are 8146,7275

Denominators are 969,9464

The GCF of 8146,7275 is 1 .

LCM of 969,9464 is 9170616.

The greatest common factor of 8146/969,7275/9464 = [GCF of 8146,7275]/[LCM of 969,9464]= 1/9170616

Therefore, the GCF of 8146/969,7275/9464 is 1/9170616.

Greatest Common Factor of 8146,7275

To find the highest common factor of 8146,7275, we have to find the factors of both numbers and list the highest common factor.

The factors of 8146 are 1, 2, 4073, 8146

The factors of 7275 are 1, 3, 5, 15, 25, 75, 97, 291, 485, 1455, 2425, 7275

The HCF of 8146,7275 is 1.

Lets's calculate GCF of 8146,7275

Greatest Common Factor (GCF) of 8146,7275 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 8146,7275 By Matching Biggest Common Factor Method

Now, list down the factors of 8146

1,2,4073,8146

Now, list down the factors of 7275

1,3,5,15,25,75,97,291,485,1455,2425,7275

Greatest Common Factor

We found the factors 8146,7275 . The biggest common factor number is the GCF number.
So the greatest common factor 8146,7275 is 1.

Lets's calculate LCM of 969,9464

Lowest Common Multiple of 969,9464 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 9170616

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9170616

Therefore, the GCF of Fractions 8146/969,7275/9464 is 1/9170616

Least Common Multiple of 969,9464 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 969,9464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(969,9464) = 1

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

GCF(969,9464) x common factors =1 x 1 = 1

LCM(969,9464) = ( 969 × 9464 ) / 1

LCM(969,9464) = 9170616 / 1

LCM(969,9464) = 9170616

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FAQs on GCF of Fractions of 8146/969, 7275/9464

1. What is the HCF of 8146,7275?

The HCF of 8146,7275 is 1

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 8146/969, 7275/9464?

Answer: GCF of Numerators as per given numbers 8146/969, 7275/9464 is

GCF of Numerators i.e. for 8146,7275 is 1

LCM of denominators i.e. for 969,9464 is 9170616.

Thus, GCF of Fractions is 1/9170616.Finally, GCF of Fractions for 8146/969, 7275/9464 is 1/9170616.