LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 308/60, 715/3224

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 308/60, 715/3224 i.e 11/48360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 308/60, 715/3224.

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 308/60,715/3224?

Given fractions are 308/60,715/3224

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 308/60,715/3224, numerators are 308,715

Denominators are 60,3224

The GCF of 308,715 is 11 .

LCM of 60,3224 is 48360.

The greatest common factor of 308/60,715/3224 = [GCF of 308,715]/[LCM of 60,3224]= 11/48360

Therefore, the GCF of 308/60,715/3224 is 11/48360.

Greatest Common Factor of 308,715

To find the highest common factor of 308,715, we have to find the factors of both numbers and list the highest common factor.

The factors of 308 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

The factors of 715 are 1, 5, 11, 13, 55, 65, 143, 715

The HCF of 308,715 is 11.

Lets's calculate GCF of 308,715

Greatest Common Factor (GCF) of 308,715 By Common Division

11 308, 715
28, 65

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 308,715 By Matching Biggest Common Factor Method

Greatest Common Factor of 308,715 By Matching Biggest Common Factor Method

Now, list down the factors of 308

:

1,2,4,7,11,14,22,28,44,77,154,308

Now, list down the factors of 715

:

1,5,11,13,55,65,143,715

Greatest Common Factor

We found the factors 308,715 . The biggest common factor number is the GCF number.
So the greatest common factor 308,715 is 11.

Lets's calculate LCM of 60,3224

Lowest Common Multiple of 60,3224 using Common Division

2 60, 3224
2 30, 1612
15, 806

∴ So the LCM of the given numbers is 2 x 2 x 15 x 806 = 48360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/48360

Therefore, the GCF of Fractions 308/60,715/3224 is 11/48360

Least Common Multiple of 60,3224 with GCF Formula

Least Common Multiple of 60,3224 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 60,3224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,3224) = 4

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

GCF(60,3224) x common factors =4 x 1 = 4

LCM(60,3224) = ( 60 × 3224 ) / 4

LCM(60,3224) = 193440 / 4

LCM(60,3224) = 48360


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 308/60, 715/3224

1. What is the HCF of 308,715?

The HCF of 308,715 is 11

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 308/60, 715/3224?

Answer: GCF of Numerators as per given numbers 308/60, 715/3224 is

GCF of Numerators i.e. for 308,715 is 11

LCM of denominators i.e. for 60,3224 is 48360.

Thus, GCF of Fractions is 11/48360.Finally, GCF of Fractions for 308/60, 715/3224 is 11/48360.