How to Find GCF of 16/28, 955/59, 521/868?

GCF of 16/28, 955/59, 521/868

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 16/28, 955/59, 521/868 i.e 1/51212 easily. The following is the detailed procedure to determine the greatest common factor of fractions 16/28, 955/59, 521/868.

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 16/28,955/59,521/868?

Given fractions are 16/28,955/59,521/868

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 16/28,955/59,521/868, numerators are 16,955,521

Denominators are 28,59,868

The GCF of 16,955,521 is 1 .

LCM of 28,59,868 is 51212.

The greatest common factor of 16/28,955/59,521/868 = [GCF of 16,955,521]/[LCM of 28,59,868]= 1/51212

Therefore, the GCF of 16/28,955/59,521/868 is 1/51212.

Greatest Common Factor of 16,955,521

To find the highest common factor of 16,955,521, we have to find the factors of both numbers and list the highest common factor.

The factors of 16 are 1, 2, 4, 8, 16

The factors of 955 are 1, 5, 191, 955

The factors of 521 are 1, 521

The HCF of 16,955,521 is 1.

Lets's calculate GCF of 16,955,521

Greatest Common Factor (GCF) of 16,955,521 By Common Division

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

Greatest Common Factor of 16,955,521 By Matching Biggest Common Factor Method

Now, list down the factors of 16

1,2,4,8,16

Now, list down the factors of 955

1,5,191,955

Now, list down the factors of 521

1,521

Greatest Common Factor

We found the factors 16,955,521 . The biggest common factor number is the GCF number.
So the greatest common factor 16,955,521 is 1.

Lets's calculate LCM of 28,59,868

Lowest Common Multiple of 28,59,868 using Common Division

2	28, 59, 868
2	14, 59, 434
7	7, 59, 217
	1, 59, 31

∴ So the LCM of the given numbers is 2 x 2 x 7 x 1 x 59 x 31 = 51212

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51212

Therefore, the GCF of Fractions 16/28,955/59,521/868 is 1/51212

Least Common Multiple of 28,59,868 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 28,59,868 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,59,868) = 1

common factors(in case of two or more numbers have common factors) = 28

GCF(28,59,868) x common factors =1 x 28 = 28

LCM(28,59,868) = ( 28 × 59 × 868 ) / 28

LCM(28,59,868) = 1433936 / 28

LCM(28,59,868) = 51212

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 16/28, 955/59, 521/868

1. What is the HCF of 16,955,521?

The HCF of 16,955,521 is 1

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 16/28, 955/59, 521/868?

Answer: GCF of Numerators as per given numbers 16/28, 955/59, 521/868 is

GCF of Numerators i.e. for 16,955,521 is 1

LCM of denominators i.e. for 28,59,868 is 51212.

Thus, GCF of Fractions is 1/51212.Finally, GCF of Fractions for 16/28, 955/59, 521/868 is 1/51212.