How to Find GCF of 792/849, 4961/158?

GCF of 792/849, 4961/158

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 792/849, 4961/158 i.e 11/134142 easily. The following is the detailed procedure to determine the greatest common factor of fractions 792/849, 4961/158.

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 792/849,4961/158?

Given fractions are 792/849,4961/158

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 792/849,4961/158, numerators are 792,4961

Denominators are 849,158

The GCF of 792,4961 is 11 .

LCM of 849,158 is 134142.

The greatest common factor of 792/849,4961/158 = [GCF of 792,4961]/[LCM of 849,158]= 11/134142

Therefore, the GCF of 792/849,4961/158 is 11/134142.

Greatest Common Factor of 792,4961

To find the highest common factor of 792,4961, we have to find the factors of both numbers and list the highest common factor.

The factors of 792 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

The factors of 4961 are 1, 11, 41, 121, 451, 4961

The HCF of 792,4961 is 11.

Lets's calculate GCF of 792,4961

Greatest Common Factor (GCF) of 792,4961 By Common Division

11	792, 4961
	72, 451

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 792,4961 By Matching Biggest Common Factor Method

Now, list down the factors of 792

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Now, list down the factors of 4961

1,11,41,121,451,4961

Greatest Common Factor

We found the factors 792,4961 . The biggest common factor number is the GCF number.
So the greatest common factor 792,4961 is 11.

Lets's calculate LCM of 849,158

Lowest Common Multiple of 849,158 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 134142

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/134142

Therefore, the GCF of Fractions 792/849,4961/158 is 11/134142

Least Common Multiple of 849,158 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 849,158 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(849,158) = 1

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

GCF(849,158) x common factors =1 x 1 = 1

LCM(849,158) = ( 849 × 158 ) / 1

LCM(849,158) = 134142 / 1

LCM(849,158) = 134142

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FAQs on GCF of Fractions of 792/849, 4961/158

1. What is the HCF of 792,4961?

The HCF of 792,4961 is 11

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 792/849, 4961/158?

Answer: GCF of Numerators as per given numbers 792/849, 4961/158 is

GCF of Numerators i.e. for 792,4961 is 11

LCM of denominators i.e. for 849,158 is 134142.

Thus, GCF of Fractions is 11/134142.Finally, GCF of Fractions for 792/849, 4961/158 is 11/134142.