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GCF of 315/38, 505/654

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 315/38, 505/654 i.e 5/12426 easily. The following is the detailed procedure to determine the greatest common factor of fractions 315/38, 505/654.

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 315/38,505/654?

Given fractions are 315/38,505/654

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 315/38,505/654, numerators are 315,505

Denominators are 38,654

The GCF of 315,505 is 5 .

LCM of 38,654 is 12426.

The greatest common factor of 315/38,505/654 = [GCF of 315,505]/[LCM of 38,654]= 5/12426

Therefore, the GCF of 315/38,505/654 is 5/12426.

Greatest Common Factor of 315,505

To find the highest common factor of 315,505, we have to find the factors of both numbers and list the highest common factor.

The factors of 315 are 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

The factors of 505 are 1, 5, 101, 505

The HCF of 315,505 is 5.

Lets's calculate GCF of 315,505

Greatest Common Factor (GCF) of 315,505 By Common Division

5 315, 505
63, 101

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

Greatest Common Factor of 315,505 By Matching Biggest Common Factor Method

Greatest Common Factor of 315,505 By Matching Biggest Common Factor Method

Now, list down the factors of 315

:

1,3,5,7,9,15,21,35,45,63,105,315

Now, list down the factors of 505

:

1,5,101,505

Greatest Common Factor

We found the factors 315,505 . The biggest common factor number is the GCF number.
So the greatest common factor 315,505 is 5.

Lets's calculate LCM of 38,654

Lowest Common Multiple of 38,654 using Common Division

2 38, 654
19, 327

∴ So the LCM of the given numbers is 2 x 19 x 327 = 12426

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/12426

Therefore, the GCF of Fractions 315/38,505/654 is 5/12426

Least Common Multiple of 38,654 with GCF Formula

Least Common Multiple of 38,654 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 38,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,654) = 2

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

GCF(38,654) x common factors =2 x 1 = 2

LCM(38,654) = ( 38 × 654 ) / 2

LCM(38,654) = 24852 / 2

LCM(38,654) = 12426


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FAQs on GCF of Fractions of 315/38, 505/654

1. What is the HCF of 315,505?

The HCF of 315,505 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 315/38, 505/654?

Answer: GCF of Numerators as per given numbers 315/38, 505/654 is

GCF of Numerators i.e. for 315,505 is 5

LCM of denominators i.e. for 38,654 is 12426.

Thus, GCF of Fractions is 5/12426.Finally, GCF of Fractions for 315/38, 505/654 is 5/12426.