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GCF of 996/89, 640/949

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 996/89, 640/949 i.e 4/84461 easily. The following is the detailed procedure to determine the greatest common factor of fractions 996/89, 640/949.

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 996/89,640/949?

Given fractions are 996/89,640/949

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 996/89,640/949, numerators are 996,640

Denominators are 89,949

The GCF of 996,640 is 4 .

LCM of 89,949 is 84461.

The greatest common factor of 996/89,640/949 = [GCF of 996,640]/[LCM of 89,949]= 4/84461

Therefore, the GCF of 996/89,640/949 is 4/84461.

Greatest Common Factor of 996,640

To find the highest common factor of 996,640, we have to find the factors of both numbers and list the highest common factor.

The factors of 996 are 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

The factors of 640 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

The HCF of 996,640 is 4.

Lets's calculate GCF of 996,640

Greatest Common Factor (GCF) of 996,640 By Common Division

2 996, 640
2 498, 320
249, 160

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

Greatest Common Factor of 996,640 By Matching Biggest Common Factor Method

Greatest Common Factor of 996,640 By Matching Biggest Common Factor Method

Now, list down the factors of 996

:

1,2,3,4,6,12,83,166,249,332,498,996

Now, list down the factors of 640

:

1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640

Greatest Common Factor

We found the factors 996,640 . The biggest common factor number is the GCF number.
So the greatest common factor 996,640 is 4.

Lets's calculate LCM of 89,949

Lowest Common Multiple of 89,949 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 84461

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/84461

Therefore, the GCF of Fractions 996/89,640/949 is 4/84461

Least Common Multiple of 89,949 with GCF Formula

Least Common Multiple of 89,949 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 89,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,949) = 1

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

GCF(89,949) x common factors =1 x 1 = 1

LCM(89,949) = ( 89 × 949 ) / 1

LCM(89,949) = 84461 / 1

LCM(89,949) = 84461


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FAQs on GCF of Fractions of 996/89, 640/949

1. What is the HCF of 996,640?

The HCF of 996,640 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 996/89, 640/949?

Answer: GCF of Numerators as per given numbers 996/89, 640/949 is

GCF of Numerators i.e. for 996,640 is 4

LCM of denominators i.e. for 89,949 is 84461.

Thus, GCF of Fractions is 4/84461.Finally, GCF of Fractions for 996/89, 640/949 is 4/84461.