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GCF of 315/72, 314/7300

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 315/72, 314/7300 i.e 1/131400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 315/72, 314/7300.

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 315/72,314/7300?

Given fractions are 315/72,314/7300

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 315/72,314/7300, numerators are 315,314

Denominators are 72,7300

The GCF of 315,314 is 1 .

LCM of 72,7300 is 131400.

The greatest common factor of 315/72,314/7300 = [GCF of 315,314]/[LCM of 72,7300]= 1/131400

Therefore, the GCF of 315/72,314/7300 is 1/131400.

Greatest Common Factor of 315,314

To find the highest common factor of 315,314, 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 314 are 1, 2, 157, 314

The HCF of 315,314 is 1.

Lets's calculate GCF of 315,314

Greatest Common Factor (GCF) of 315,314 By Common Division

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

Greatest Common Factor of 315,314 By Matching Biggest Common Factor Method

Greatest Common Factor of 315,314 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 314

:

1,2,157,314

Greatest Common Factor

We found the factors 315,314 . The biggest common factor number is the GCF number.
So the greatest common factor 315,314 is 1.

Lets's calculate LCM of 72,7300

Lowest Common Multiple of 72,7300 using Common Division

2 72, 7300
2 36, 3650
18, 1825

∴ So the LCM of the given numbers is 2 x 2 x 18 x 1825 = 131400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/131400

Therefore, the GCF of Fractions 315/72,314/7300 is 1/131400

Least Common Multiple of 72,7300 with GCF Formula

Least Common Multiple of 72,7300 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 72,7300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,7300) = 4

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

GCF(72,7300) x common factors =4 x 1 = 4

LCM(72,7300) = ( 72 × 7300 ) / 4

LCM(72,7300) = 525600 / 4

LCM(72,7300) = 131400


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FAQs on GCF of Fractions of 315/72, 314/7300

1. What is the HCF of 315,314?

The HCF of 315,314 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 315/72, 314/7300?

Answer: GCF of Numerators as per given numbers 315/72, 314/7300 is

GCF of Numerators i.e. for 315,314 is 1

LCM of denominators i.e. for 72,7300 is 131400.

Thus, GCF of Fractions is 1/131400.Finally, GCF of Fractions for 315/72, 314/7300 is 1/131400.