How to Find GCF of 7122/905, 2143/7166?

GCF of 7122/905, 2143/7166

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 7122/905, 2143/7166 i.e 1/6485230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7122/905, 2143/7166.

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 7122/905,2143/7166?

Given fractions are 7122/905,2143/7166

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 7122/905,2143/7166, numerators are 7122,2143

Denominators are 905,7166

The GCF of 7122,2143 is 1 .

LCM of 905,7166 is 6485230.

The greatest common factor of 7122/905,2143/7166 = [GCF of 7122,2143]/[LCM of 905,7166]= 1/6485230

Therefore, the GCF of 7122/905,2143/7166 is 1/6485230.

Greatest Common Factor of 7122,2143

To find the highest common factor of 7122,2143, we have to find the factors of both numbers and list the highest common factor.

The factors of 7122 are 1, 2, 3, 6, 1187, 2374, 3561, 7122

The factors of 2143 are 1, 2143

The HCF of 7122,2143 is 1.

Lets's calculate GCF of 7122,2143

Greatest Common Factor (GCF) of 7122,2143 By Common Division

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

Greatest Common Factor of 7122,2143 By Matching Biggest Common Factor Method

Now, list down the factors of 7122

1,2,3,6,1187,2374,3561,7122

Now, list down the factors of 2143

1,2143

Greatest Common Factor

We found the factors 7122,2143 . The biggest common factor number is the GCF number.
So the greatest common factor 7122,2143 is 1.

Lets's calculate LCM of 905,7166

Lowest Common Multiple of 905,7166 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6485230

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6485230

Therefore, the GCF of Fractions 7122/905,2143/7166 is 1/6485230

Least Common Multiple of 905,7166 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 905,7166 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(905,7166) = 1

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

GCF(905,7166) x common factors =1 x 1 = 1

LCM(905,7166) = ( 905 × 7166 ) / 1

LCM(905,7166) = 6485230 / 1

LCM(905,7166) = 6485230

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FAQs on GCF of Fractions of 7122/905, 2143/7166

1. What is the HCF of 7122,2143?

The HCF of 7122,2143 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 7122/905, 2143/7166?

Answer: GCF of Numerators as per given numbers 7122/905, 2143/7166 is

GCF of Numerators i.e. for 7122,2143 is 1

LCM of denominators i.e. for 905,7166 is 6485230.

Thus, GCF of Fractions is 1/6485230.Finally, GCF of Fractions for 7122/905, 2143/7166 is 1/6485230.