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GCF of 930/34, 590/389

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 930/34, 590/389 i.e 10/13226 easily. The following is the detailed procedure to determine the greatest common factor of fractions 930/34, 590/389.

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 930/34,590/389?

Given fractions are 930/34,590/389

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 930/34,590/389, numerators are 930,590

Denominators are 34,389

The GCF of 930,590 is 10 .

LCM of 34,389 is 13226.

The greatest common factor of 930/34,590/389 = [GCF of 930,590]/[LCM of 34,389]= 10/13226

Therefore, the GCF of 930/34,590/389 is 10/13226.

Greatest Common Factor of 930,590

To find the highest common factor of 930,590, we have to find the factors of both numbers and list the highest common factor.

The factors of 930 are 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

The factors of 590 are 1, 2, 5, 10, 59, 118, 295, 590

The HCF of 930,590 is 10.

Lets's calculate GCF of 930,590

Greatest Common Factor (GCF) of 930,590 By Common Division

2 930, 590
5 465, 295
93, 59

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 930,590 By Matching Biggest Common Factor Method

Greatest Common Factor of 930,590 By Matching Biggest Common Factor Method

Now, list down the factors of 930

:

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Now, list down the factors of 590

:

1,2,5,10,59,118,295,590

Greatest Common Factor

We found the factors 930,590 . The biggest common factor number is the GCF number.
So the greatest common factor 930,590 is 10.

Lets's calculate LCM of 34,389

Lowest Common Multiple of 34,389 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 13226

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/13226

Therefore, the GCF of Fractions 930/34,590/389 is 10/13226

Least Common Multiple of 34,389 with GCF Formula

Least Common Multiple of 34,389 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 34,389 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,389) = 1

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

GCF(34,389) x common factors =1 x 1 = 1

LCM(34,389) = ( 34 × 389 ) / 1

LCM(34,389) = 13226 / 1

LCM(34,389) = 13226


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FAQs on GCF of Fractions of 930/34, 590/389

1. What is the HCF of 930,590?

The HCF of 930,590 is 10

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 930/34, 590/389?

Answer: GCF of Numerators as per given numbers 930/34, 590/389 is

GCF of Numerators i.e. for 930,590 is 10

LCM of denominators i.e. for 34,389 is 13226.

Thus, GCF of Fractions is 10/13226.Finally, GCF of Fractions for 930/34, 590/389 is 10/13226.