How to Find GCF of 833/68, 500/4991?

GCF of 833/68, 500/4991

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 833/68, 500/4991 i.e 1/339388 easily. The following is the detailed procedure to determine the greatest common factor of fractions 833/68, 500/4991.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 833/68,500/4991?

Given fractions are 833/68,500/4991

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 833/68,500/4991, numerators are 833,500

Denominators are 68,4991

The GCF of 833,500 is 1 .

LCM of 68,4991 is 339388.

The greatest common factor of 833/68,500/4991 = [GCF of 833,500]/[LCM of 68,4991]= 1/339388

Therefore, the GCF of 833/68,500/4991 is 1/339388.

Greatest Common Factor of 833,500

To find the highest common factor of 833,500, 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 500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

The HCF of 833,500 is 1.

Lets's calculate GCF of 833,500

Greatest Common Factor (GCF) of 833,500 By Common Division

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

Greatest Common Factor of 833,500 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 500

1,2,4,5,10,20,25,50,100,125,250,500

Greatest Common Factor

We found the factors 833,500 . The biggest common factor number is the GCF number.
So the greatest common factor 833,500 is 1.

Lets's calculate LCM of 68,4991

Lowest Common Multiple of 68,4991 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 339388

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/339388

Therefore, the GCF of Fractions 833/68,500/4991 is 1/339388

Least Common Multiple of 68,4991 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 68,4991 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,4991) = 1

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

GCF(68,4991) x common factors =1 x 1 = 1

LCM(68,4991) = ( 68 × 4991 ) / 1

LCM(68,4991) = 339388 / 1

LCM(68,4991) = 339388

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FAQs on GCF of Fractions of 833/68, 500/4991

1. What is the HCF of 833,500?

The HCF of 833,500 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 833/68, 500/4991?

Answer: GCF of Numerators as per given numbers 833/68, 500/4991 is

GCF of Numerators i.e. for 833,500 is 1

LCM of denominators i.e. for 68,4991 is 339388.

Thus, GCF of Fractions is 1/339388.Finally, GCF of Fractions for 833/68, 500/4991 is 1/339388.