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GCF of 839/616, 1105/3178

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 839/616, 1105/3178 i.e 1/139832 easily. The following is the detailed procedure to determine the greatest common factor of fractions 839/616, 1105/3178.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 839/616,1105/3178?

Given fractions are 839/616,1105/3178

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 839/616,1105/3178, numerators are 839,1105

Denominators are 616,3178

The GCF of 839,1105 is 1 .

LCM of 616,3178 is 139832.

The greatest common factor of 839/616,1105/3178 = [GCF of 839,1105]/[LCM of 616,3178]= 1/139832

Therefore, the GCF of 839/616,1105/3178 is 1/139832.

Greatest Common Factor of 839,1105

To find the highest common factor of 839,1105, we have to find the factors of both numbers and list the highest common factor.

The factors of 839 are 1, 839

The factors of 1105 are 1, 5, 13, 17, 65, 85, 221, 1105

The HCF of 839,1105 is 1.

Lets's calculate GCF of 839,1105

Greatest Common Factor (GCF) of 839,1105 By Common Division

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

Greatest Common Factor of 839,1105 By Matching Biggest Common Factor Method

Greatest Common Factor of 839,1105 By Matching Biggest Common Factor Method

Now, list down the factors of 839

:

1,839

Now, list down the factors of 1105

:

1,5,13,17,65,85,221,1105

Greatest Common Factor

We found the factors 839,1105 . The biggest common factor number is the GCF number.
So the greatest common factor 839,1105 is 1.

Lets's calculate LCM of 616,3178

Lowest Common Multiple of 616,3178 using Common Division

2 616, 3178
7 308, 1589
44, 227

∴ So the LCM of the given numbers is 2 x 7 x 44 x 227 = 139832

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/139832

Therefore, the GCF of Fractions 839/616,1105/3178 is 1/139832

Least Common Multiple of 616,3178 with GCF Formula

Least Common Multiple of 616,3178 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 616,3178 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(616,3178) = 14

common factors(in case of two or more numbers have common factors) = 1

GCF(616,3178) x common factors =14 x 1 = 14

LCM(616,3178) = ( 616 × 3178 ) / 14

LCM(616,3178) = 1957648 / 14

LCM(616,3178) = 139832


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 839/616, 1105/3178

1. What is the HCF of 839,1105?

The HCF of 839,1105 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 839/616, 1105/3178?

Answer: GCF of Numerators as per given numbers 839/616, 1105/3178 is

GCF of Numerators i.e. for 839,1105 is 1

LCM of denominators i.e. for 616,3178 is 139832.

Thus, GCF of Fractions is 1/139832.Finally, GCF of Fractions for 839/616, 1105/3178 is 1/139832.