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GCF of 310/15, 382/5923

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 310/15, 382/5923 i.e 2/88845 easily. The following is the detailed procedure to determine the greatest common factor of fractions 310/15, 382/5923.

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 310/15,382/5923?

Given fractions are 310/15,382/5923

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 310/15,382/5923, numerators are 310,382

Denominators are 15,5923

The GCF of 310,382 is 2 .

LCM of 15,5923 is 88845.

The greatest common factor of 310/15,382/5923 = [GCF of 310,382]/[LCM of 15,5923]= 2/88845

Therefore, the GCF of 310/15,382/5923 is 2/88845.

Greatest Common Factor of 310,382

To find the highest common factor of 310,382, we have to find the factors of both numbers and list the highest common factor.

The factors of 310 are 1, 2, 5, 10, 31, 62, 155, 310

The factors of 382 are 1, 2, 191, 382

The HCF of 310,382 is 2.

Lets's calculate GCF of 310,382

Greatest Common Factor (GCF) of 310,382 By Common Division

2 310, 382
155, 191

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 310,382 By Matching Biggest Common Factor Method

Greatest Common Factor of 310,382 By Matching Biggest Common Factor Method

Now, list down the factors of 310

:

1,2,5,10,31,62,155,310

Now, list down the factors of 382

:

1,2,191,382

Greatest Common Factor

We found the factors 310,382 . The biggest common factor number is the GCF number.
So the greatest common factor 310,382 is 2.

Lets's calculate LCM of 15,5923

Lowest Common Multiple of 15,5923 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 88845

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/88845

Therefore, the GCF of Fractions 310/15,382/5923 is 2/88845

Least Common Multiple of 15,5923 with GCF Formula

Least Common Multiple of 15,5923 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 15,5923 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,5923) = 1

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

GCF(15,5923) x common factors =1 x 1 = 1

LCM(15,5923) = ( 15 × 5923 ) / 1

LCM(15,5923) = 88845 / 1

LCM(15,5923) = 88845


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FAQs on GCF of Fractions of 310/15, 382/5923

1. What is the HCF of 310,382?

The HCF of 310,382 is 2

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 310/15, 382/5923?

Answer: GCF of Numerators as per given numbers 310/15, 382/5923 is

GCF of Numerators i.e. for 310,382 is 2

LCM of denominators i.e. for 15,5923 is 88845.

Thus, GCF of Fractions is 2/88845.Finally, GCF of Fractions for 310/15, 382/5923 is 2/88845.