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GCF of 739/54, 389/574

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 739/54, 389/574 i.e 1/15498 easily. The following is the detailed procedure to determine the greatest common factor of fractions 739/54, 389/574.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 739/54,389/574?

Given fractions are 739/54,389/574

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 739/54,389/574, numerators are 739,389

Denominators are 54,574

The GCF of 739,389 is 1 .

LCM of 54,574 is 15498.

The greatest common factor of 739/54,389/574 = [GCF of 739,389]/[LCM of 54,574]= 1/15498

Therefore, the GCF of 739/54,389/574 is 1/15498.

Greatest Common Factor of 739,389

To find the highest common factor of 739,389, we have to find the factors of both numbers and list the highest common factor.

The factors of 739 are 1, 739

The factors of 389 are 1, 389

The HCF of 739,389 is 1.

Lets's calculate GCF of 739,389

Greatest Common Factor (GCF) of 739,389 By Common Division

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

Greatest Common Factor of 739,389 By Matching Biggest Common Factor Method

Greatest Common Factor of 739,389 By Matching Biggest Common Factor Method

Now, list down the factors of 739

:

1,739

Now, list down the factors of 389

:

1,389

Greatest Common Factor

We found the factors 739,389 . The biggest common factor number is the GCF number.
So the greatest common factor 739,389 is 1.

Lets's calculate LCM of 54,574

Lowest Common Multiple of 54,574 using Common Division

2 54, 574
27, 287

∴ So the LCM of the given numbers is 2 x 27 x 287 = 15498

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15498

Therefore, the GCF of Fractions 739/54,389/574 is 1/15498

Least Common Multiple of 54,574 with GCF Formula

Least Common Multiple of 54,574 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 54,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,574) = 2

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

GCF(54,574) x common factors =2 x 1 = 2

LCM(54,574) = ( 54 × 574 ) / 2

LCM(54,574) = 30996 / 2

LCM(54,574) = 15498


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FAQs on GCF of Fractions of 739/54, 389/574

1. What is the HCF of 739,389?

The HCF of 739,389 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 739/54, 389/574?

Answer: GCF of Numerators as per given numbers 739/54, 389/574 is

GCF of Numerators i.e. for 739,389 is 1

LCM of denominators i.e. for 54,574 is 15498.

Thus, GCF of Fractions is 1/15498.Finally, GCF of Fractions for 739/54, 389/574 is 1/15498.