How to Find GCF of 7302/881, 3065/1079?

GCF of 7302/881, 3065/1079

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 7302/881, 3065/1079 i.e 1/950599 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7302/881, 3065/1079.

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 7302/881,3065/1079?

Given fractions are 7302/881,3065/1079

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 7302/881,3065/1079, numerators are 7302,3065

Denominators are 881,1079

The GCF of 7302,3065 is 1 .

LCM of 881,1079 is 950599.

The greatest common factor of 7302/881,3065/1079 = [GCF of 7302,3065]/[LCM of 881,1079]= 1/950599

Therefore, the GCF of 7302/881,3065/1079 is 1/950599.

Greatest Common Factor of 7302,3065

To find the highest common factor of 7302,3065, we have to find the factors of both numbers and list the highest common factor.

The factors of 7302 are 1, 2, 3, 6, 1217, 2434, 3651, 7302

The factors of 3065 are 1, 5, 613, 3065

The HCF of 7302,3065 is 1.

Lets's calculate GCF of 7302,3065

Greatest Common Factor (GCF) of 7302,3065 By Common Division

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

Greatest Common Factor of 7302,3065 By Matching Biggest Common Factor Method

Now, list down the factors of 7302

1,2,3,6,1217,2434,3651,7302

Now, list down the factors of 3065

1,5,613,3065

Greatest Common Factor

We found the factors 7302,3065 . The biggest common factor number is the GCF number.
So the greatest common factor 7302,3065 is 1.

Lets's calculate LCM of 881,1079

Lowest Common Multiple of 881,1079 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 950599

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/950599

Therefore, the GCF of Fractions 7302/881,3065/1079 is 1/950599

Least Common Multiple of 881,1079 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 881,1079 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(881,1079) = 1

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

GCF(881,1079) x common factors =1 x 1 = 1

LCM(881,1079) = ( 881 × 1079 ) / 1

LCM(881,1079) = 950599 / 1

LCM(881,1079) = 950599

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FAQs on GCF of Fractions of 7302/881, 3065/1079

1. What is the HCF of 7302,3065?

The HCF of 7302,3065 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 7302/881, 3065/1079?

Answer: GCF of Numerators as per given numbers 7302/881, 3065/1079 is

GCF of Numerators i.e. for 7302,3065 is 1

LCM of denominators i.e. for 881,1079 is 950599.

Thus, GCF of Fractions is 1/950599.Finally, GCF of Fractions for 7302/881, 3065/1079 is 1/950599.