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GCF of 393/530, 406/130

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 393/530, 406/130 i.e 1/6890 easily. The following is the detailed procedure to determine the greatest common factor of fractions 393/530, 406/130.

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 393/530,406/130?

Given fractions are 393/530,406/130

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 393/530,406/130, numerators are 393,406

Denominators are 530,130

The GCF of 393,406 is 1 .

LCM of 530,130 is 6890.

The greatest common factor of 393/530,406/130 = [GCF of 393,406]/[LCM of 530,130]= 1/6890

Therefore, the GCF of 393/530,406/130 is 1/6890.

Greatest Common Factor of 393,406

To find the highest common factor of 393,406, we have to find the factors of both numbers and list the highest common factor.

The factors of 393 are 1, 3, 131, 393

The factors of 406 are 1, 2, 7, 14, 29, 58, 203, 406

The HCF of 393,406 is 1.

Lets's calculate GCF of 393,406

Greatest Common Factor (GCF) of 393,406 By Common Division

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

Greatest Common Factor of 393,406 By Matching Biggest Common Factor Method

Greatest Common Factor of 393,406 By Matching Biggest Common Factor Method

Now, list down the factors of 393

:

1,3,131,393

Now, list down the factors of 406

:

1,2,7,14,29,58,203,406

Greatest Common Factor

We found the factors 393,406 . The biggest common factor number is the GCF number.
So the greatest common factor 393,406 is 1.

Lets's calculate LCM of 530,130

Lowest Common Multiple of 530,130 using Common Division

2 530, 130
5 265, 65
53, 13

∴ So the LCM of the given numbers is 2 x 5 x 53 x 13 = 6890

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6890

Therefore, the GCF of Fractions 393/530,406/130 is 1/6890

Least Common Multiple of 530,130 with GCF Formula

Least Common Multiple of 530,130 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 530,130 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(530,130) = 10

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

GCF(530,130) x common factors =10 x 1 = 10

LCM(530,130) = ( 530 × 130 ) / 10

LCM(530,130) = 68900 / 10

LCM(530,130) = 6890


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FAQs on GCF of Fractions of 393/530, 406/130

1. What is the HCF of 393,406?

The HCF of 393,406 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 393/530, 406/130?

Answer: GCF of Numerators as per given numbers 393/530, 406/130 is

GCF of Numerators i.e. for 393,406 is 1

LCM of denominators i.e. for 530,130 is 6890.

Thus, GCF of Fractions is 1/6890.Finally, GCF of Fractions for 393/530, 406/130 is 1/6890.