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GCF of 4022/784, 9629/176

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 4022/784, 9629/176 i.e 1/8624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4022/784, 9629/176.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 4022/784,9629/176?

Given fractions are 4022/784,9629/176

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 4022/784,9629/176, numerators are 4022,9629

Denominators are 784,176

The GCF of 4022,9629 is 1 .

LCM of 784,176 is 8624.

The greatest common factor of 4022/784,9629/176 = [GCF of 4022,9629]/[LCM of 784,176]= 1/8624

Therefore, the GCF of 4022/784,9629/176 is 1/8624.

Greatest Common Factor of 4022,9629

To find the highest common factor of 4022,9629, we have to find the factors of both numbers and list the highest common factor.

The factors of 4022 are 1, 2, 2011, 4022

The factors of 9629 are 1, 9629

The HCF of 4022,9629 is 1.

Lets's calculate GCF of 4022,9629

Greatest Common Factor (GCF) of 4022,9629 By Common Division

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

Greatest Common Factor of 4022,9629 By Matching Biggest Common Factor Method

Greatest Common Factor of 4022,9629 By Matching Biggest Common Factor Method

Now, list down the factors of 4022

:

1,2,2011,4022

Now, list down the factors of 9629

:

1,9629

Greatest Common Factor

We found the factors 4022,9629 . The biggest common factor number is the GCF number.
So the greatest common factor 4022,9629 is 1.

Lets's calculate LCM of 784,176

Lowest Common Multiple of 784,176 using Common Division

2 784, 176
2 392, 88
2 196, 44
2 98, 22
49, 11

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 49 x 11 = 8624

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8624

Therefore, the GCF of Fractions 4022/784,9629/176 is 1/8624

Least Common Multiple of 784,176 with GCF Formula

Least Common Multiple of 784,176 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 784,176 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(784,176) = 16

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

GCF(784,176) x common factors =16 x 1 = 16

LCM(784,176) = ( 784 × 176 ) / 16

LCM(784,176) = 137984 / 16

LCM(784,176) = 8624


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4022/784, 9629/176

1. What is the HCF of 4022,9629?

The HCF of 4022,9629 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 4022/784, 9629/176?

Answer: GCF of Numerators as per given numbers 4022/784, 9629/176 is

GCF of Numerators i.e. for 4022,9629 is 1

LCM of denominators i.e. for 784,176 is 8624.

Thus, GCF of Fractions is 1/8624.Finally, GCF of Fractions for 4022/784, 9629/176 is 1/8624.