Greatest Common Factor of 2992/328, 1052/890

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2992/328, 1052/890

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 2992/328,1052/890

Given fractions are 2992/328,1052/890

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 2992,1052

Greatest Common Factor of Numerators i.e. GCF of 2992,1052 is 4 .

LCM of Denominators means LCM of 328,890 as per the given fractions.

LCM of 328,890 is 145960 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2992,1052

GCF of Fractions 2992/328,1052/890 is 4/145960

2 2992, 1052
2 1496, 526
748, 263

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

Greatest Common Factor of 2992,1052 By Matching Biggest Common Factor Method

Greatest Common Factor of 2992,1052 By Matching Biggest Common Factor Method

Factors of 2992

List of positive integer factors of 2992 that divides 2992 without a remainder.

1,2,4,8,11,16,17,22,34,44,68,88,136,176,187,272,374,748,1496,2992

Factors of 1052

List of positive integer factors of 1052 that divides 1052 without a remainder.

1,2,4,263,526,1052

Greatest Common Factor

We found the factors 2992,1052 . The biggest common factor number is the GCF number.
So the greatest common factor 2992,1052 is 4.

Lets's calculate LCM of 328,890

2 328, 890
164, 445

∴ So the LCM of the given numbers is 2 x 164 x 445 = 145960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/145960

Therefore, the GCF of Fractions 2992/328,1052/890 is 4/145960

Least Common Multiple of 328,890 with GCF Formula

Least Common Multiple of 328,890 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 328,890 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(328,890) = 2

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

GCF(328,890) x common factors =2 x 1 = 2

LCM(328,890) = ( 328 × 890 ) / 2

LCM(328,890) = 291920 / 2

LCM(328,890) = 145960


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 2992/328, 1052/890

1. 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.

2. What is the GCF of Fractions for 2992/328, 1052/890?

Answer: GCF of Numerators as per given numbers 2992/328, 1052/890 is

GCF of Numerators i.e. for 2992,1052 is 4

LCM of denominators i.e. for 328,890 is 145960.

Thus, GCF of Fractions is 4/145960.Finally, GCF of Fractions for 2992/328, 1052/890 is 4/145960.