How to Find GCF of 34/78, 879/17, 216/793?

GCF of 34/78, 879/17, 216/793

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 34/78, 879/17, 216/793 i.e 1/80886 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/78, 879/17, 216/793.

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 34/78,879/17,216/793?

Given fractions are 34/78,879/17,216/793

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 34/78,879/17,216/793, numerators are 34,879,216

Denominators are 78,17,793

The GCF of 34,879,216 is 1 .

LCM of 78,17,793 is 80886.

The greatest common factor of 34/78,879/17,216/793 = [GCF of 34,879,216]/[LCM of 78,17,793]= 1/80886

Therefore, the GCF of 34/78,879/17,216/793 is 1/80886.

Greatest Common Factor of 34,879,216

To find the highest common factor of 34,879,216, we have to find the factors of both numbers and list the highest common factor.

The factors of 34 are 1, 2, 17, 34

The factors of 879 are 1, 3, 293, 879

The factors of 216 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

The HCF of 34,879,216 is 1.

Lets's calculate GCF of 34,879,216

Greatest Common Factor (GCF) of 34,879,216 By Common Division

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

Greatest Common Factor of 34,879,216 By Matching Biggest Common Factor Method

Now, list down the factors of 34

1,2,17,34

Now, list down the factors of 879

1,3,293,879

Now, list down the factors of 216

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Greatest Common Factor

We found the factors 34,879,216 . The biggest common factor number is the GCF number.
So the greatest common factor 34,879,216 is 1.

Lets's calculate LCM of 78,17,793

Lowest Common Multiple of 78,17,793 using Common Division

13	78, 17, 793
	6, 17, 61

∴ So the LCM of the given numbers is 13 x 6 x 17 x 61 = 80886

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/80886

Therefore, the GCF of Fractions 34/78,879/17,216/793 is 1/80886

Least Common Multiple of 78,17,793 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 78,17,793 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,17,793) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(78,17,793) x common factors =1 x 13 = 13

LCM(78,17,793) = ( 78 × 17 × 793 ) / 13

LCM(78,17,793) = 1051518 / 13

LCM(78,17,793) = 80886

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 34/78, 879/17, 216/793

1. What is the HCF of 34,879,216?

The HCF of 34,879,216 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 34/78, 879/17, 216/793?

Answer: GCF of Numerators as per given numbers 34/78, 879/17, 216/793 is

GCF of Numerators i.e. for 34,879,216 is 1

LCM of denominators i.e. for 78,17,793 is 80886.

Thus, GCF of Fractions is 1/80886.Finally, GCF of Fractions for 34/78, 879/17, 216/793 is 1/80886.