How to Find GCF of 6759/635, 9395/3749?

GCF of 6759/635, 9395/3749

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 6759/635, 9395/3749 i.e 1/2380615 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6759/635, 9395/3749.

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 6759/635,9395/3749?

Given fractions are 6759/635,9395/3749

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 6759/635,9395/3749, numerators are 6759,9395

Denominators are 635,3749

The GCF of 6759,9395 is 1 .

LCM of 635,3749 is 2380615.

The greatest common factor of 6759/635,9395/3749 = [GCF of 6759,9395]/[LCM of 635,3749]= 1/2380615

Therefore, the GCF of 6759/635,9395/3749 is 1/2380615.

Greatest Common Factor of 6759,9395

To find the highest common factor of 6759,9395, we have to find the factors of both numbers and list the highest common factor.

The factors of 6759 are 1, 3, 9, 751, 2253, 6759

The factors of 9395 are 1, 5, 1879, 9395

The HCF of 6759,9395 is 1.

Lets's calculate GCF of 6759,9395

Greatest Common Factor (GCF) of 6759,9395 By Common Division

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

Greatest Common Factor of 6759,9395 By Matching Biggest Common Factor Method

Now, list down the factors of 6759

1,3,9,751,2253,6759

Now, list down the factors of 9395

1,5,1879,9395

Greatest Common Factor

We found the factors 6759,9395 . The biggest common factor number is the GCF number.
So the greatest common factor 6759,9395 is 1.

Lets's calculate LCM of 635,3749

Lowest Common Multiple of 635,3749 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2380615

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2380615

Therefore, the GCF of Fractions 6759/635,9395/3749 is 1/2380615

Least Common Multiple of 635,3749 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 635,3749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(635,3749) = 1

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

GCF(635,3749) x common factors =1 x 1 = 1

LCM(635,3749) = ( 635 × 3749 ) / 1

LCM(635,3749) = 2380615 / 1

LCM(635,3749) = 2380615

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FAQs on GCF of Fractions of 6759/635, 9395/3749

1. What is the HCF of 6759,9395?

The HCF of 6759,9395 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 6759/635, 9395/3749?

Answer: GCF of Numerators as per given numbers 6759/635, 9395/3749 is

GCF of Numerators i.e. for 6759,9395 is 1

LCM of denominators i.e. for 635,3749 is 2380615.

Thus, GCF of Fractions is 1/2380615.Finally, GCF of Fractions for 6759/635, 9395/3749 is 1/2380615.