How to Find GCF of 6368/964, 9146/136?

GCF of 6368/964, 9146/136

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 6368/964, 9146/136 i.e 2/32776 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6368/964, 9146/136.

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 6368/964,9146/136?

Given fractions are 6368/964,9146/136

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 6368/964,9146/136, numerators are 6368,9146

Denominators are 964,136

The GCF of 6368,9146 is 2 .

LCM of 964,136 is 32776.

The greatest common factor of 6368/964,9146/136 = [GCF of 6368,9146]/[LCM of 964,136]= 2/32776

Therefore, the GCF of 6368/964,9146/136 is 2/32776.

Greatest Common Factor of 6368,9146

To find the highest common factor of 6368,9146, we have to find the factors of both numbers and list the highest common factor.

The factors of 6368 are 1, 2, 4, 8, 16, 32, 199, 398, 796, 1592, 3184, 6368

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

The HCF of 6368,9146 is 2.

Lets's calculate GCF of 6368,9146

Greatest Common Factor (GCF) of 6368,9146 By Common Division

2	6368, 9146
	3184, 4573

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

Greatest Common Factor of 6368,9146 By Matching Biggest Common Factor Method

Now, list down the factors of 6368

1,2,4,8,16,32,199,398,796,1592,3184,6368

Now, list down the factors of 9146

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

Greatest Common Factor

We found the factors 6368,9146 . The biggest common factor number is the GCF number.
So the greatest common factor 6368,9146 is 2.

Lets's calculate LCM of 964,136

Lowest Common Multiple of 964,136 using Common Division

2	964, 136
2	482, 68
	241, 34

∴ So the LCM of the given numbers is 2 x 2 x 241 x 34 = 32776

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/32776

Therefore, the GCF of Fractions 6368/964,9146/136 is 2/32776

Least Common Multiple of 964,136 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 964,136 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(964,136) = 4

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

GCF(964,136) x common factors =4 x 1 = 4

LCM(964,136) = ( 964 × 136 ) / 4

LCM(964,136) = 131104 / 4

LCM(964,136) = 32776

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FAQs on GCF of Fractions of 6368/964, 9146/136

1. What is the HCF of 6368,9146?

The HCF of 6368,9146 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 6368/964, 9146/136?

Answer: GCF of Numerators as per given numbers 6368/964, 9146/136 is

GCF of Numerators i.e. for 6368,9146 is 2

LCM of denominators i.e. for 964,136 is 32776.

Thus, GCF of Fractions is 2/32776.Finally, GCF of Fractions for 6368/964, 9146/136 is 2/32776.