How to Find GCF of 6764/588, 7113/1685?

GCF of 6764/588, 7113/1685

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 6764/588, 7113/1685 i.e 1/990780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6764/588, 7113/1685.

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 6764/588,7113/1685?

Given fractions are 6764/588,7113/1685

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 6764/588,7113/1685, numerators are 6764,7113

Denominators are 588,1685

The GCF of 6764,7113 is 1 .

LCM of 588,1685 is 990780.

The greatest common factor of 6764/588,7113/1685 = [GCF of 6764,7113]/[LCM of 588,1685]= 1/990780

Therefore, the GCF of 6764/588,7113/1685 is 1/990780.

Greatest Common Factor of 6764,7113

To find the highest common factor of 6764,7113, we have to find the factors of both numbers and list the highest common factor.

The factors of 6764 are 1, 2, 4, 19, 38, 76, 89, 178, 356, 1691, 3382, 6764

The factors of 7113 are 1, 3, 2371, 7113

The HCF of 6764,7113 is 1.

Lets's calculate GCF of 6764,7113

Greatest Common Factor (GCF) of 6764,7113 By Common Division

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

Greatest Common Factor of 6764,7113 By Matching Biggest Common Factor Method

Now, list down the factors of 6764

1,2,4,19,38,76,89,178,356,1691,3382,6764

Now, list down the factors of 7113

1,3,2371,7113

Greatest Common Factor

We found the factors 6764,7113 . The biggest common factor number is the GCF number.
So the greatest common factor 6764,7113 is 1.

Lets's calculate LCM of 588,1685

Lowest Common Multiple of 588,1685 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 990780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/990780

Therefore, the GCF of Fractions 6764/588,7113/1685 is 1/990780

Least Common Multiple of 588,1685 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 588,1685 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(588,1685) = 1

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

GCF(588,1685) x common factors =1 x 1 = 1

LCM(588,1685) = ( 588 × 1685 ) / 1

LCM(588,1685) = 990780 / 1

LCM(588,1685) = 990780

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FAQs on GCF of Fractions of 6764/588, 7113/1685

1. What is the HCF of 6764,7113?

The HCF of 6764,7113 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 6764/588, 7113/1685?

Answer: GCF of Numerators as per given numbers 6764/588, 7113/1685 is

GCF of Numerators i.e. for 6764,7113 is 1

LCM of denominators i.e. for 588,1685 is 990780.

Thus, GCF of Fractions is 1/990780.Finally, GCF of Fractions for 6764/588, 7113/1685 is 1/990780.