Greatest Common Factor of 16/926, 996/622, 490/951

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 16/926, 996/622, 490/951

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 16/926,996/622,490/951

Given fractions are 16/926,996/622,490/951

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 16,996,490

Greatest Common Factor of Numerators i.e. GCF of 16,996,490 is 2 .

LCM of Denominators means LCM of 926,622,951 as per the given fractions.

LCM of 926,622,951 is 273874686 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 16,996,490

GCF of Fractions 16/926,996/622,490/951 is 2/273874686

2 16, 996, 490
8, 498, 245

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

Greatest Common Factor of 16,996,490 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,996,490 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 996

List of positive integer factors of 996 that divides 996 without a remainder.

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

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Greatest Common Factor

We found the factors 16,996,490 . The biggest common factor number is the GCF number.
So the greatest common factor 16,996,490 is 2.

Lets's calculate LCM of 926,622,951

2 926, 622, 951
463, 311, 951

∴ So the LCM of the given numbers is 2 x 463 x 311 x 951 = 273874686

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/273874686

Therefore, the GCF of Fractions 16/926,996/622,490/951 is 2/273874686

Least Common Multiple of 926,622,951 with GCF Formula

Least Common Multiple of 926,622,951 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 926,622,951 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(926,622,951) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(926,622,951) x common factors =1 x 2 = 2

LCM(926,622,951) = ( 926 × 622 × 951 ) / 2

LCM(926,622,951) = 547749372 / 2

LCM(926,622,951) = 273874686


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 16/926, 996/622, 490/951

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 16/926, 996/622, 490/951?

Answer: GCF of Numerators as per given numbers 16/926, 996/622, 490/951 is

GCF of Numerators i.e. for 16,996,490 is 2

LCM of denominators i.e. for 926,622,951 is 273874686.

Thus, GCF of Fractions is 2/273874686.Finally, GCF of Fractions for 16/926, 996/622, 490/951 is 2/273874686.