How to Find GCF of 952/792, 7684/7637?

GCF of 952/792, 7684/7637

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 952/792, 7684/7637 i.e 68/6048504 easily. The following is the detailed procedure to determine the greatest common factor of fractions 952/792, 7684/7637.

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 952/792,7684/7637?

Given fractions are 952/792,7684/7637

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 952/792,7684/7637, numerators are 952,7684

Denominators are 792,7637

The GCF of 952,7684 is 68 .

LCM of 792,7637 is 6048504.

The greatest common factor of 952/792,7684/7637 = [GCF of 952,7684]/[LCM of 792,7637]= 68/6048504

Therefore, the GCF of 952/792,7684/7637 is 68/6048504.

Greatest Common Factor of 952,7684

To find the highest common factor of 952,7684, we have to find the factors of both numbers and list the highest common factor.

The factors of 952 are 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

The factors of 7684 are 1, 2, 4, 17, 34, 68, 113, 226, 452, 1921, 3842, 7684

The HCF of 952,7684 is 68.

Lets's calculate GCF of 952,7684

Greatest Common Factor (GCF) of 952,7684 By Common Division

2	952, 7684
2	476, 3842
17	238, 1921
	14, 113

∴ So the GCF of the given numbers is 2 x 2 x 17 = 68

Greatest Common Factor of 952,7684 By Matching Biggest Common Factor Method

Now, list down the factors of 952

1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952

Now, list down the factors of 7684

1,2,4,17,34,68,113,226,452,1921,3842,7684

Greatest Common Factor

We found the factors 952,7684 . The biggest common factor number is the GCF number.
So the greatest common factor 952,7684 is 68.

Lets's calculate LCM of 792,7637

Lowest Common Multiple of 792,7637 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6048504

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 68/6048504

Therefore, the GCF of Fractions 952/792,7684/7637 is 68/6048504

Least Common Multiple of 792,7637 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 792,7637 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(792,7637) = 1

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

GCF(792,7637) x common factors =1 x 1 = 1

LCM(792,7637) = ( 792 × 7637 ) / 1

LCM(792,7637) = 6048504 / 1

LCM(792,7637) = 6048504

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FAQs on GCF of Fractions of 952/792, 7684/7637

1. What is the HCF of 952,7684?

The HCF of 952,7684 is 68

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 952/792, 7684/7637?

Answer: GCF of Numerators as per given numbers 952/792, 7684/7637 is

GCF of Numerators i.e. for 952,7684 is 68

LCM of denominators i.e. for 792,7637 is 6048504.

Thus, GCF of Fractions is 68/6048504.Finally, GCF of Fractions for 952/792, 7684/7637 is 68/6048504.