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GCF of 15/395, 6370/7600

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 15/395, 6370/7600 i.e 5/600400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 15/395, 6370/7600.

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 15/395,6370/7600?

Given fractions are 15/395,6370/7600

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 15/395,6370/7600, numerators are 15,6370

Denominators are 395,7600

The GCF of 15,6370 is 5 .

LCM of 395,7600 is 600400.

The greatest common factor of 15/395,6370/7600 = [GCF of 15,6370]/[LCM of 395,7600]= 5/600400

Therefore, the GCF of 15/395,6370/7600 is 5/600400.

Greatest Common Factor of 15,6370

To find the highest common factor of 15,6370, we have to find the factors of both numbers and list the highest common factor.

The factors of 15 are 1, 3, 5, 15

The factors of 6370 are 1, 2, 5, 7, 10, 13, 14, 26, 35, 49, 65, 70, 91, 98, 130, 182, 245, 455, 490, 637, 910, 1274, 3185, 6370

The HCF of 15,6370 is 5.

Lets's calculate GCF of 15,6370

Greatest Common Factor (GCF) of 15,6370 By Common Division

5 15, 6370
3, 1274

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

Greatest Common Factor of 15,6370 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,6370 By Matching Biggest Common Factor Method

Now, list down the factors of 15

:

1,3,5,15

Now, list down the factors of 6370

:

1,2,5,7,10,13,14,26,35,49,65,70,91,98,130,182,245,455,490,637,910,1274,3185,6370

Greatest Common Factor

We found the factors 15,6370 . The biggest common factor number is the GCF number.
So the greatest common factor 15,6370 is 5.


Lets's calculate LCM of 395,7600

Lowest Common Multiple of 395,7600 using Common Division

5 395, 7600
79, 1520

∴ So the LCM of the given numbers is 5 x 79 x 1520 = 600400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/600400

Therefore, the GCF of Fractions 15/395,6370/7600 is 5/600400

Least Common Multiple of 395,7600 with GCF Formula

Least Common Multiple of 395,7600 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 395,7600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(395,7600) = 5

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

GCF(395,7600) x common factors =5 x 1 = 5

LCM(395,7600) = ( 395 × 7600 ) / 5

LCM(395,7600) = 3002000 / 5

LCM(395,7600) = 600400


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 15/395, 6370/7600

1. What is the HCF of 15,6370?

The HCF of 15,6370 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 15/395, 6370/7600?

Answer: GCF of Numerators as per given numbers 15/395, 6370/7600 is

GCF of Numerators i.e. for 15,6370 is 5

LCM of denominators i.e. for 395,7600 is 600400.

Thus, GCF of Fractions is 5/600400.Finally, GCF of Fractions for 15/395, 6370/7600 is 5/600400.