How to Find GCF of 7989/200, 6852/4628?

GCF of 7989/200, 6852/4628

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 7989/200, 6852/4628 i.e 3/231400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7989/200, 6852/4628.

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 7989/200,6852/4628?

Given fractions are 7989/200,6852/4628

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 7989/200,6852/4628, numerators are 7989,6852

Denominators are 200,4628

The GCF of 7989,6852 is 3 .

LCM of 200,4628 is 231400.

The greatest common factor of 7989/200,6852/4628 = [GCF of 7989,6852]/[LCM of 200,4628]= 3/231400

Therefore, the GCF of 7989/200,6852/4628 is 3/231400.

Greatest Common Factor of 7989,6852

To find the highest common factor of 7989,6852, we have to find the factors of both numbers and list the highest common factor.

The factors of 7989 are 1, 3, 2663, 7989

The factors of 6852 are 1, 2, 3, 4, 6, 12, 571, 1142, 1713, 2284, 3426, 6852

The HCF of 7989,6852 is 3.

Lets's calculate GCF of 7989,6852

Greatest Common Factor (GCF) of 7989,6852 By Common Division

3	7989, 6852
	2663, 2284

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 7989,6852 By Matching Biggest Common Factor Method

Now, list down the factors of 7989

1,3,2663,7989

Now, list down the factors of 6852

1,2,3,4,6,12,571,1142,1713,2284,3426,6852

Greatest Common Factor

We found the factors 7989,6852 . The biggest common factor number is the GCF number.
So the greatest common factor 7989,6852 is 3.

Lets's calculate LCM of 200,4628

Lowest Common Multiple of 200,4628 using Common Division

2	200, 4628
2	100, 2314
	50, 1157

∴ So the LCM of the given numbers is 2 x 2 x 50 x 1157 = 231400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/231400

Therefore, the GCF of Fractions 7989/200,6852/4628 is 3/231400

Least Common Multiple of 200,4628 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 200,4628 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(200,4628) = 4

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

GCF(200,4628) x common factors =4 x 1 = 4

LCM(200,4628) = ( 200 × 4628 ) / 4

LCM(200,4628) = 925600 / 4

LCM(200,4628) = 231400

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FAQs on GCF of Fractions of 7989/200, 6852/4628

1. What is the HCF of 7989,6852?

The HCF of 7989,6852 is 3

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 7989/200, 6852/4628?

Answer: GCF of Numerators as per given numbers 7989/200, 6852/4628 is

GCF of Numerators i.e. for 7989,6852 is 3

LCM of denominators i.e. for 200,4628 is 231400.

Thus, GCF of Fractions is 3/231400.Finally, GCF of Fractions for 7989/200, 6852/4628 is 3/231400.