How to Find GCF of 391/89, 759/6874?

GCF of 391/89, 759/6874

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 391/89, 759/6874 i.e 23/611786 easily. The following is the detailed procedure to determine the greatest common factor of fractions 391/89, 759/6874.

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 391/89,759/6874?

Given fractions are 391/89,759/6874

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 391/89,759/6874, numerators are 391,759

Denominators are 89,6874

The GCF of 391,759 is 23 .

LCM of 89,6874 is 611786.

The greatest common factor of 391/89,759/6874 = [GCF of 391,759]/[LCM of 89,6874]= 23/611786

Therefore, the GCF of 391/89,759/6874 is 23/611786.

Greatest Common Factor of 391,759

To find the highest common factor of 391,759, we have to find the factors of both numbers and list the highest common factor.

The factors of 391 are 1, 17, 23, 391

The factors of 759 are 1, 3, 11, 23, 33, 69, 253, 759

The HCF of 391,759 is 23.

Lets's calculate GCF of 391,759

Greatest Common Factor (GCF) of 391,759 By Common Division

23	391, 759
	17, 33

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 391,759 By Matching Biggest Common Factor Method

Now, list down the factors of 391

1,17,23,391

Now, list down the factors of 759

1,3,11,23,33,69,253,759

Greatest Common Factor

We found the factors 391,759 . The biggest common factor number is the GCF number.
So the greatest common factor 391,759 is 23.

Lets's calculate LCM of 89,6874

Lowest Common Multiple of 89,6874 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 611786

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/611786

Therefore, the GCF of Fractions 391/89,759/6874 is 23/611786

Least Common Multiple of 89,6874 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 89,6874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,6874) = 1

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

GCF(89,6874) x common factors =1 x 1 = 1

LCM(89,6874) = ( 89 × 6874 ) / 1

LCM(89,6874) = 611786 / 1

LCM(89,6874) = 611786

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FAQs on GCF of Fractions of 391/89, 759/6874

1. What is the HCF of 391,759?

The HCF of 391,759 is 23

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 391/89, 759/6874?

Answer: GCF of Numerators as per given numbers 391/89, 759/6874 is

GCF of Numerators i.e. for 391,759 is 23

LCM of denominators i.e. for 89,6874 is 611786.

Thus, GCF of Fractions is 23/611786.Finally, GCF of Fractions for 391/89, 759/6874 is 23/611786.