How to Find GCF of 6476/952, 4192/9886?

GCF of 6476/952, 4192/9886

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 6476/952, 4192/9886 i.e 4/4705736 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6476/952, 4192/9886.

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 6476/952,4192/9886?

Given fractions are 6476/952,4192/9886

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 6476/952,4192/9886, numerators are 6476,4192

Denominators are 952,9886

The GCF of 6476,4192 is 4 .

LCM of 952,9886 is 4705736.

The greatest common factor of 6476/952,4192/9886 = [GCF of 6476,4192]/[LCM of 952,9886]= 4/4705736

Therefore, the GCF of 6476/952,4192/9886 is 4/4705736.

Greatest Common Factor of 6476,4192

To find the highest common factor of 6476,4192, we have to find the factors of both numbers and list the highest common factor.

The factors of 6476 are 1, 2, 4, 1619, 3238, 6476

The factors of 4192 are 1, 2, 4, 8, 16, 32, 131, 262, 524, 1048, 2096, 4192

The HCF of 6476,4192 is 4.

Lets's calculate GCF of 6476,4192

Greatest Common Factor (GCF) of 6476,4192 By Common Division

2	6476, 4192
2	3238, 2096
	1619, 1048

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 6476,4192 By Matching Biggest Common Factor Method

Now, list down the factors of 6476

1,2,4,1619,3238,6476

Now, list down the factors of 4192

1,2,4,8,16,32,131,262,524,1048,2096,4192

Greatest Common Factor

We found the factors 6476,4192 . The biggest common factor number is the GCF number.
So the greatest common factor 6476,4192 is 4.

Lets's calculate LCM of 952,9886

Lowest Common Multiple of 952,9886 using Common Division

2	952, 9886
	476, 4943

∴ So the LCM of the given numbers is 2 x 476 x 4943 = 4705736

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/4705736

Therefore, the GCF of Fractions 6476/952,4192/9886 is 4/4705736

Least Common Multiple of 952,9886 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 952,9886 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(952,9886) = 2

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

GCF(952,9886) x common factors =2 x 1 = 2

LCM(952,9886) = ( 952 × 9886 ) / 2

LCM(952,9886) = 9411472 / 2

LCM(952,9886) = 4705736

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6476/952, 4192/9886

1. What is the HCF of 6476,4192?

The HCF of 6476,4192 is 4

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 6476/952, 4192/9886?

Answer: GCF of Numerators as per given numbers 6476/952, 4192/9886 is

GCF of Numerators i.e. for 6476,4192 is 4

LCM of denominators i.e. for 952,9886 is 4705736.

Thus, GCF of Fractions is 4/4705736.Finally, GCF of Fractions for 6476/952, 4192/9886 is 4/4705736.