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GCF of 751/594, 164/439

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 751/594, 164/439 i.e 1/260766 easily. The following is the detailed procedure to determine the greatest common factor of fractions 751/594, 164/439.

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 751/594,164/439?

Given fractions are 751/594,164/439

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 751/594,164/439, numerators are 751,164

Denominators are 594,439

The GCF of 751,164 is 1 .

LCM of 594,439 is 260766.

The greatest common factor of 751/594,164/439 = [GCF of 751,164]/[LCM of 594,439]= 1/260766

Therefore, the GCF of 751/594,164/439 is 1/260766.

Greatest Common Factor of 751,164

To find the highest common factor of 751,164, we have to find the factors of both numbers and list the highest common factor.

The factors of 751 are 1, 751

The factors of 164 are 1, 2, 4, 41, 82, 164

The HCF of 751,164 is 1.

Lets's calculate GCF of 751,164

Greatest Common Factor (GCF) of 751,164 By Common Division

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

Greatest Common Factor of 751,164 By Matching Biggest Common Factor Method

Greatest Common Factor of 751,164 By Matching Biggest Common Factor Method

Now, list down the factors of 751

:

1,751

Now, list down the factors of 164

:

1,2,4,41,82,164

Greatest Common Factor

We found the factors 751,164 . The biggest common factor number is the GCF number.
So the greatest common factor 751,164 is 1.

Lets's calculate LCM of 594,439

Lowest Common Multiple of 594,439 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 260766

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/260766

Therefore, the GCF of Fractions 751/594,164/439 is 1/260766

Least Common Multiple of 594,439 with GCF Formula

Least Common Multiple of 594,439 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 594,439 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(594,439) = 1

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

GCF(594,439) x common factors =1 x 1 = 1

LCM(594,439) = ( 594 × 439 ) / 1

LCM(594,439) = 260766 / 1

LCM(594,439) = 260766


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FAQs on GCF of Fractions of 751/594, 164/439

1. What is the HCF of 751,164?

The HCF of 751,164 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 751/594, 164/439?

Answer: GCF of Numerators as per given numbers 751/594, 164/439 is

GCF of Numerators i.e. for 751,164 is 1

LCM of denominators i.e. for 594,439 is 260766.

Thus, GCF of Fractions is 1/260766.Finally, GCF of Fractions for 751/594, 164/439 is 1/260766.