Greatest Common Factor of 2/16, 85/84, 62/898, 944/126

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2/16, 85/84, 62/898, 944/126

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 2/16,85/84,62/898,944/126

Given fractions are 2/16,85/84,62/898,944/126

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 2,85,62,944

Greatest Common Factor of Numerators i.e. GCF of 2,85,62,944 is 1 .

LCM of Denominators means LCM of 16,84,898,126 as per the given fractions.

LCM of 16,84,898,126 is 452592 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2,85,62,944

GCF of Fractions 2/16,85/84,62/898,944/126 is 1/452592

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 2,85,62,944 By Matching Biggest Common Factor Method

Greatest Common Factor of 2,85,62,944 By Matching Biggest Common Factor Method

Factors of 2

List of positive integer factors of 2 that divides 2 without a remainder.

1,2

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 944

List of positive integer factors of 944 that divides 944 without a remainder.

1,2,4,8,16,59,118,236,472,944

Greatest Common Factor

We found the factors 2,85,62,944 . The biggest common factor number is the GCF number.
So the greatest common factor 2,85,62,944 is 1.

Lets's calculate LCM of 16,84,898,126

2 16, 84, 898, 126
2 8, 42, 449, 63
3 4, 21, 449, 63
7 4, 7, 449, 21
4, 1, 449, 3

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 4 x 1 x 449 x 3 = 452592

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/452592

Therefore, the GCF of Fractions 2/16,85/84,62/898,944/126 is 1/452592

Least Common Multiple of 16,84,898,126 with GCF Formula

Least Common Multiple of 16,84,898,126 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 16,84,898,126 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,84,898,126) = 2

common factors(in case of two or more numbers have common factors) = 168

GCF(16,84,898,126) x common factors =2 x 168 = 336

LCM(16,84,898,126) = ( 16 × 84 × 898 × 126 ) / 336

LCM(16,84,898,126) = 152070912 / 336

LCM(16,84,898,126) = 452592


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 2/16, 85/84, 62/898, 944/126

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 2/16, 85/84, 62/898, 944/126?

Answer: GCF of Numerators as per given numbers 2/16, 85/84, 62/898, 944/126 is

GCF of Numerators i.e. for 2,85,62,944 is 1

LCM of denominators i.e. for 16,84,898,126 is 452592.

Thus, GCF of Fractions is 1/452592.Finally, GCF of Fractions for 2/16, 85/84, 62/898, 944/126 is 1/452592.