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GCF of 110/20, 671/139

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 110/20, 671/139 i.e 11/2780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 110/20, 671/139.

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 110/20,671/139?

Given fractions are 110/20,671/139

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 110/20,671/139, numerators are 110,671

Denominators are 20,139

The GCF of 110,671 is 11 .

LCM of 20,139 is 2780.

The greatest common factor of 110/20,671/139 = [GCF of 110,671]/[LCM of 20,139]= 11/2780

Therefore, the GCF of 110/20,671/139 is 11/2780.

Greatest Common Factor of 110,671

To find the highest common factor of 110,671, we have to find the factors of both numbers and list the highest common factor.

The factors of 110 are 1, 2, 5, 10, 11, 22, 55, 110

The factors of 671 are 1, 11, 61, 671

The HCF of 110,671 is 11.

Lets's calculate GCF of 110,671

Greatest Common Factor (GCF) of 110,671 By Common Division

11 110, 671
10, 61

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 110,671 By Matching Biggest Common Factor Method

Greatest Common Factor of 110,671 By Matching Biggest Common Factor Method

Now, list down the factors of 110

:

1,2,5,10,11,22,55,110

Now, list down the factors of 671

:

1,11,61,671

Greatest Common Factor

We found the factors 110,671 . The biggest common factor number is the GCF number.
So the greatest common factor 110,671 is 11.

Lets's calculate LCM of 20,139

Lowest Common Multiple of 20,139 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/2780

Therefore, the GCF of Fractions 110/20,671/139 is 11/2780

Least Common Multiple of 20,139 with GCF Formula

Least Common Multiple of 20,139 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 20,139 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,139) = 1

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

GCF(20,139) x common factors =1 x 1 = 1

LCM(20,139) = ( 20 × 139 ) / 1

LCM(20,139) = 2780 / 1

LCM(20,139) = 2780


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FAQs on GCF of Fractions of 110/20, 671/139

1. What is the HCF of 110,671?

The HCF of 110,671 is 11

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 110/20, 671/139?

Answer: GCF of Numerators as per given numbers 110/20, 671/139 is

GCF of Numerators i.e. for 110,671 is 11

LCM of denominators i.e. for 20,139 is 2780.

Thus, GCF of Fractions is 11/2780.Finally, GCF of Fractions for 110/20, 671/139 is 11/2780.