How to Find GCF of 26/93, 22/70, 112/71?

GCF of 26/93, 22/70, 112/71

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 26/93, 22/70, 112/71 i.e 2/462210 easily. The following is the detailed procedure to determine the greatest common factor of fractions 26/93, 22/70, 112/71.

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 26/93,22/70,112/71?

Given fractions are 26/93,22/70,112/71

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 26/93,22/70,112/71, numerators are 26,22,112

Denominators are 93,70,71

The GCF of 26,22,112 is 2 .

LCM of 93,70,71 is 462210.

The greatest common factor of 26/93,22/70,112/71 = [GCF of 26,22,112]/[LCM of 93,70,71]= 2/462210

Therefore, the GCF of 26/93,22/70,112/71 is 2/462210.

Greatest Common Factor of 26,22,112

To find the highest common factor of 26,22,112, we have to find the factors of both numbers and list the highest common factor.

The factors of 26 are 1, 2, 13, 26

The factors of 22 are 1, 2, 11, 22

The factors of 112 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

The HCF of 26,22,112 is 2.

Lets's calculate GCF of 26,22,112

Greatest Common Factor (GCF) of 26,22,112 By Common Division

2	26, 22, 112
	13, 11, 56

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 26,22,112 By Matching Biggest Common Factor Method

Now, list down the factors of 26

1,2,13,26

Now, list down the factors of 22

1,2,11,22

Now, list down the factors of 112

1,2,4,7,8,14,16,28,56,112

Greatest Common Factor

We found the factors 26,22,112 . The biggest common factor number is the GCF number.
So the greatest common factor 26,22,112 is 2.

Lets's calculate LCM of 93,70,71

Lowest Common Multiple of 93,70,71 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 462210

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/462210

Therefore, the GCF of Fractions 26/93,22/70,112/71 is 2/462210

Least Common Multiple of 93,70,71 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 93,70,71 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,70,71) = 1

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

GCF(93,70,71) x common factors =1 x 1 = 1

LCM(93,70,71) = ( 93 × 70 × 71 ) / 1

LCM(93,70,71) = 462210 / 1

LCM(93,70,71) = 462210

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 26/93, 22/70, 112/71

1. What is the HCF of 26,22,112?

The HCF of 26,22,112 is 2

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 26/93, 22/70, 112/71?

Answer: GCF of Numerators as per given numbers 26/93, 22/70, 112/71 is

GCF of Numerators i.e. for 26,22,112 is 2

LCM of denominators i.e. for 93,70,71 is 462210.

Thus, GCF of Fractions is 2/462210.Finally, GCF of Fractions for 26/93, 22/70, 112/71 is 2/462210.