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GCF of 632/996, 9924/8980

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 632/996, 9924/8980 i.e 4/2236020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 632/996, 9924/8980.

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 632/996,9924/8980?

Given fractions are 632/996,9924/8980

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 632/996,9924/8980, numerators are 632,9924

Denominators are 996,8980

The GCF of 632,9924 is 4 .

LCM of 996,8980 is 2236020.

The greatest common factor of 632/996,9924/8980 = [GCF of 632,9924]/[LCM of 996,8980]= 4/2236020

Therefore, the GCF of 632/996,9924/8980 is 4/2236020.

Greatest Common Factor of 632,9924

To find the highest common factor of 632,9924, we have to find the factors of both numbers and list the highest common factor.

The factors of 632 are 1, 2, 4, 8, 79, 158, 316, 632

The factors of 9924 are 1, 2, 3, 4, 6, 12, 827, 1654, 2481, 3308, 4962, 9924

The HCF of 632,9924 is 4.

Lets's calculate GCF of 632,9924

Greatest Common Factor (GCF) of 632,9924 By Common Division

2 632, 9924
2 316, 4962
158, 2481

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

Greatest Common Factor of 632,9924 By Matching Biggest Common Factor Method

Greatest Common Factor of 632,9924 By Matching Biggest Common Factor Method

Now, list down the factors of 632

:

1,2,4,8,79,158,316,632

Now, list down the factors of 9924

:

1,2,3,4,6,12,827,1654,2481,3308,4962,9924

Greatest Common Factor

We found the factors 632,9924 . The biggest common factor number is the GCF number.
So the greatest common factor 632,9924 is 4.


Lets's calculate LCM of 996,8980

Lowest Common Multiple of 996,8980 using Common Division

2 996, 8980
2 498, 4490
249, 2245

∴ So the LCM of the given numbers is 2 x 2 x 249 x 2245 = 2236020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2236020

Therefore, the GCF of Fractions 632/996,9924/8980 is 4/2236020

Least Common Multiple of 996,8980 with GCF Formula

Least Common Multiple of 996,8980 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 996,8980 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(996,8980) = 4

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

GCF(996,8980) x common factors =4 x 1 = 4

LCM(996,8980) = ( 996 × 8980 ) / 4

LCM(996,8980) = 8944080 / 4

LCM(996,8980) = 2236020


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 632/996, 9924/8980

1. What is the HCF of 632,9924?

The HCF of 632,9924 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 632/996, 9924/8980?

Answer: GCF of Numerators as per given numbers 632/996, 9924/8980 is

GCF of Numerators i.e. for 632,9924 is 4

LCM of denominators i.e. for 996,8980 is 2236020.

Thus, GCF of Fractions is 4/2236020.Finally, GCF of Fractions for 632/996, 9924/8980 is 4/2236020.