Greatest Common Factor of 16/35, 44/21, 554/682

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 16/35, 44/21, 554/682

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 16/35,44/21,554/682

Given fractions are 16/35,44/21,554/682

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 16,44,554

Greatest Common Factor of Numerators i.e. GCF of 16,44,554 is 2 .

LCM of Denominators means LCM of 35,21,682 as per the given fractions.

LCM of 35,21,682 is 71610 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 16,44,554

GCF of Fractions 16/35,44/21,554/682 is 2/71610

2 16, 44, 554
8, 22, 277

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

Greatest Common Factor of 16,44,554 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,44,554 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 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 554

List of positive integer factors of 554 that divides 554 without a remainder.

1,2,277,554

Greatest Common Factor

We found the factors 16,44,554 . The biggest common factor number is the GCF number.
So the greatest common factor 16,44,554 is 2.

Lets's calculate LCM of 35,21,682

7 35, 21, 682
5, 3, 682

∴ So the LCM of the given numbers is 7 x 5 x 3 x 682 = 71610

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/71610

Therefore, the GCF of Fractions 16/35,44/21,554/682 is 2/71610

Least Common Multiple of 35,21,682 with GCF Formula

Least Common Multiple of 35,21,682 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 35,21,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,21,682) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(35,21,682) x common factors =1 x 7 = 7

LCM(35,21,682) = ( 35 × 21 × 682 ) / 7

LCM(35,21,682) = 501270 / 7

LCM(35,21,682) = 71610


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 16/35, 44/21, 554/682

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 16/35, 44/21, 554/682?

Answer: GCF of Numerators as per given numbers 16/35, 44/21, 554/682 is

GCF of Numerators i.e. for 16,44,554 is 2

LCM of denominators i.e. for 35,21,682 is 71610.

Thus, GCF of Fractions is 2/71610.Finally, GCF of Fractions for 16/35, 44/21, 554/682 is 2/71610.