How to Find GCF of 80/936, 48/859, 647/910?

GCF of 80/936, 48/859, 647/910

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 80/936, 48/859, 647/910 i.e 1/28140840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 80/936, 48/859, 647/910.

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 80/936,48/859,647/910?

Given fractions are 80/936,48/859,647/910

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 80/936,48/859,647/910, numerators are 80,48,647

Denominators are 936,859,910

The GCF of 80,48,647 is 1 .

LCM of 936,859,910 is 28140840.

The greatest common factor of 80/936,48/859,647/910 = [GCF of 80,48,647]/[LCM of 936,859,910]= 1/28140840

Therefore, the GCF of 80/936,48/859,647/910 is 1/28140840.

Greatest Common Factor of 80,48,647

To find the highest common factor of 80,48,647, we have to find the factors of both numbers and list the highest common factor.

The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

The factors of 647 are 1, 647

The HCF of 80,48,647 is 1.

Lets's calculate GCF of 80,48,647

Greatest Common Factor (GCF) of 80,48,647 By Common Division

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

Greatest Common Factor of 80,48,647 By Matching Biggest Common Factor Method

Now, list down the factors of 80

1,2,4,5,8,10,16,20,40,80

Now, list down the factors of 48

1,2,3,4,6,8,12,16,24,48

Now, list down the factors of 647

1,647

Greatest Common Factor

We found the factors 80,48,647 . The biggest common factor number is the GCF number.
So the greatest common factor 80,48,647 is 1.

Lets's calculate LCM of 936,859,910

Lowest Common Multiple of 936,859,910 using Common Division

2	936, 859, 910
13	468, 859, 455
	36, 859, 35

∴ So the LCM of the given numbers is 2 x 13 x 36 x 859 x 35 = 28140840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28140840

Therefore, the GCF of Fractions 80/936,48/859,647/910 is 1/28140840

Least Common Multiple of 936,859,910 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 936,859,910 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(936,859,910) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(936,859,910) x common factors =1 x 26 = 26

LCM(936,859,910) = ( 936 × 859 × 910 ) / 26

LCM(936,859,910) = 731661840 / 26

LCM(936,859,910) = 28140840

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 80/936, 48/859, 647/910

1. What is the HCF of 80,48,647?

The HCF of 80,48,647 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 80/936, 48/859, 647/910?

Answer: GCF of Numerators as per given numbers 80/936, 48/859, 647/910 is

GCF of Numerators i.e. for 80,48,647 is 1

LCM of denominators i.e. for 936,859,910 is 28140840.

Thus, GCF of Fractions is 1/28140840.Finally, GCF of Fractions for 80/936, 48/859, 647/910 is 1/28140840.