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GCF of 833/500, 3017/960

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 833/500, 3017/960 i.e 7/24000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 833/500, 3017/960.

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 833/500,3017/960?

Given fractions are 833/500,3017/960

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 833/500,3017/960, numerators are 833,3017

Denominators are 500,960

The GCF of 833,3017 is 7 .

LCM of 500,960 is 24000.

The greatest common factor of 833/500,3017/960 = [GCF of 833,3017]/[LCM of 500,960]= 7/24000

Therefore, the GCF of 833/500,3017/960 is 7/24000.

Greatest Common Factor of 833,3017

To find the highest common factor of 833,3017, we have to find the factors of both numbers and list the highest common factor.

The factors of 833 are 1, 7, 17, 49, 119, 833

The factors of 3017 are 1, 7, 431, 3017

The HCF of 833,3017 is 7.

Lets's calculate GCF of 833,3017

Greatest Common Factor (GCF) of 833,3017 By Common Division

7 833, 3017
119, 431

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 833,3017 By Matching Biggest Common Factor Method

Greatest Common Factor of 833,3017 By Matching Biggest Common Factor Method

Now, list down the factors of 833

:

1,7,17,49,119,833

Now, list down the factors of 3017

:

1,7,431,3017

Greatest Common Factor

We found the factors 833,3017 . The biggest common factor number is the GCF number.
So the greatest common factor 833,3017 is 7.

Lets's calculate LCM of 500,960

Lowest Common Multiple of 500,960 using Common Division

2 500, 960
2 250, 480
5 125, 240
25, 48

∴ So the LCM of the given numbers is 2 x 2 x 5 x 25 x 48 = 24000

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/24000

Therefore, the GCF of Fractions 833/500,3017/960 is 7/24000

Least Common Multiple of 500,960 with GCF Formula

Least Common Multiple of 500,960 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 500,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(500,960) = 20

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

GCF(500,960) x common factors =20 x 1 = 20

LCM(500,960) = ( 500 × 960 ) / 20

LCM(500,960) = 480000 / 20

LCM(500,960) = 24000


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FAQs on GCF of Fractions of 833/500, 3017/960

1. What is the HCF of 833,3017?

The HCF of 833,3017 is 7

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 833/500, 3017/960?

Answer: GCF of Numerators as per given numbers 833/500, 3017/960 is

GCF of Numerators i.e. for 833,3017 is 7

LCM of denominators i.e. for 500,960 is 24000.

Thus, GCF of Fractions is 7/24000.Finally, GCF of Fractions for 833/500, 3017/960 is 7/24000.