How to Find GCF of 395/672, 1030/7512?

GCF of 395/672, 1030/7512

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 395/672, 1030/7512 i.e 5/210336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 395/672, 1030/7512.

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 395/672,1030/7512?

Given fractions are 395/672,1030/7512

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 395/672,1030/7512, numerators are 395,1030

Denominators are 672,7512

The GCF of 395,1030 is 5 .

LCM of 672,7512 is 210336.

The greatest common factor of 395/672,1030/7512 = [GCF of 395,1030]/[LCM of 672,7512]= 5/210336

Therefore, the GCF of 395/672,1030/7512 is 5/210336.

Greatest Common Factor of 395,1030

To find the highest common factor of 395,1030, we have to find the factors of both numbers and list the highest common factor.

The factors of 395 are 1, 5, 79, 395

The factors of 1030 are 1, 2, 5, 10, 103, 206, 515, 1030

The HCF of 395,1030 is 5.

Lets's calculate GCF of 395,1030

Greatest Common Factor (GCF) of 395,1030 By Common Division

5	395, 1030
	79, 206

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 395,1030 By Matching Biggest Common Factor Method

Now, list down the factors of 395

1,5,79,395

Now, list down the factors of 1030

1,2,5,10,103,206,515,1030

Greatest Common Factor

We found the factors 395,1030 . The biggest common factor number is the GCF number.
So the greatest common factor 395,1030 is 5.

Lets's calculate LCM of 672,7512

Lowest Common Multiple of 672,7512 using Common Division

2	672, 7512
2	336, 3756
2	168, 1878
3	84, 939
	28, 313

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 28 x 313 = 210336

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/210336

Therefore, the GCF of Fractions 395/672,1030/7512 is 5/210336

Least Common Multiple of 672,7512 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 672,7512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(672,7512) = 24

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

GCF(672,7512) x common factors =24 x 1 = 24

LCM(672,7512) = ( 672 × 7512 ) / 24

LCM(672,7512) = 5048064 / 24

LCM(672,7512) = 210336

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FAQs on GCF of Fractions of 395/672, 1030/7512

1. What is the HCF of 395,1030?

The HCF of 395,1030 is 5

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 395/672, 1030/7512?

Answer: GCF of Numerators as per given numbers 395/672, 1030/7512 is

GCF of Numerators i.e. for 395,1030 is 5

LCM of denominators i.e. for 672,7512 is 210336.

Thus, GCF of Fractions is 5/210336.Finally, GCF of Fractions for 395/672, 1030/7512 is 5/210336.