How to Find GCF of 6632/490, 9963/7167?

GCF of 6632/490, 9963/7167

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 6632/490, 9963/7167 i.e 1/3511830 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6632/490, 9963/7167.

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 6632/490,9963/7167?

Given fractions are 6632/490,9963/7167

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 6632/490,9963/7167, numerators are 6632,9963

Denominators are 490,7167

The GCF of 6632,9963 is 1 .

LCM of 490,7167 is 3511830.

The greatest common factor of 6632/490,9963/7167 = [GCF of 6632,9963]/[LCM of 490,7167]= 1/3511830

Therefore, the GCF of 6632/490,9963/7167 is 1/3511830.

Greatest Common Factor of 6632,9963

To find the highest common factor of 6632,9963, we have to find the factors of both numbers and list the highest common factor.

The factors of 6632 are 1, 2, 4, 8, 829, 1658, 3316, 6632

The factors of 9963 are 1, 3, 9, 27, 41, 81, 123, 243, 369, 1107, 3321, 9963

The HCF of 6632,9963 is 1.

Lets's calculate GCF of 6632,9963

Greatest Common Factor (GCF) of 6632,9963 By Common Division

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

Greatest Common Factor of 6632,9963 By Matching Biggest Common Factor Method

Now, list down the factors of 6632

1,2,4,8,829,1658,3316,6632

Now, list down the factors of 9963

1,3,9,27,41,81,123,243,369,1107,3321,9963

Greatest Common Factor

We found the factors 6632,9963 . The biggest common factor number is the GCF number.
So the greatest common factor 6632,9963 is 1.

Lets's calculate LCM of 490,7167

Lowest Common Multiple of 490,7167 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3511830

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3511830

Therefore, the GCF of Fractions 6632/490,9963/7167 is 1/3511830

Least Common Multiple of 490,7167 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 490,7167 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(490,7167) = 1

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

GCF(490,7167) x common factors =1 x 1 = 1

LCM(490,7167) = ( 490 × 7167 ) / 1

LCM(490,7167) = 3511830 / 1

LCM(490,7167) = 3511830

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FAQs on GCF of Fractions of 6632/490, 9963/7167

1. What is the HCF of 6632,9963?

The HCF of 6632,9963 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 6632/490, 9963/7167?

Answer: GCF of Numerators as per given numbers 6632/490, 9963/7167 is

GCF of Numerators i.e. for 6632,9963 is 1

LCM of denominators i.e. for 490,7167 is 3511830.

Thus, GCF of Fractions is 1/3511830.Finally, GCF of Fractions for 6632/490, 9963/7167 is 1/3511830.