How to Find GCF of 1579/688, 7330/7291?

GCF of 1579/688, 7330/7291

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 1579/688, 7330/7291 i.e 1/5016208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1579/688, 7330/7291.

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 1579/688,7330/7291?

Given fractions are 1579/688,7330/7291

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 1579/688,7330/7291, numerators are 1579,7330

Denominators are 688,7291

The GCF of 1579,7330 is 1 .

LCM of 688,7291 is 5016208.

The greatest common factor of 1579/688,7330/7291 = [GCF of 1579,7330]/[LCM of 688,7291]= 1/5016208

Therefore, the GCF of 1579/688,7330/7291 is 1/5016208.

Greatest Common Factor of 1579,7330

To find the highest common factor of 1579,7330, we have to find the factors of both numbers and list the highest common factor.

The factors of 1579 are 1, 1579

The factors of 7330 are 1, 2, 5, 10, 733, 1466, 3665, 7330

The HCF of 1579,7330 is 1.

Lets's calculate GCF of 1579,7330

Greatest Common Factor (GCF) of 1579,7330 By Common Division

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

Greatest Common Factor of 1579,7330 By Matching Biggest Common Factor Method

Now, list down the factors of 1579

1,1579

Now, list down the factors of 7330

1,2,5,10,733,1466,3665,7330

Greatest Common Factor

We found the factors 1579,7330 . The biggest common factor number is the GCF number.
So the greatest common factor 1579,7330 is 1.

Lets's calculate LCM of 688,7291

Lowest Common Multiple of 688,7291 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5016208

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5016208

Therefore, the GCF of Fractions 1579/688,7330/7291 is 1/5016208

Least Common Multiple of 688,7291 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 688,7291 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(688,7291) = 1

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

GCF(688,7291) x common factors =1 x 1 = 1

LCM(688,7291) = ( 688 × 7291 ) / 1

LCM(688,7291) = 5016208 / 1

LCM(688,7291) = 5016208

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FAQs on GCF of Fractions of 1579/688, 7330/7291

1. What is the HCF of 1579,7330?

The HCF of 1579,7330 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 1579/688, 7330/7291?

Answer: GCF of Numerators as per given numbers 1579/688, 7330/7291 is

GCF of Numerators i.e. for 1579,7330 is 1

LCM of denominators i.e. for 688,7291 is 5016208.

Thus, GCF of Fractions is 1/5016208.Finally, GCF of Fractions for 1579/688, 7330/7291 is 1/5016208.