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GCF of 830/677, 500/851

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 830/677, 500/851 i.e 10/576127 easily. The following is the detailed procedure to determine the greatest common factor of fractions 830/677, 500/851.

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 830/677,500/851?

Given fractions are 830/677,500/851

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 830/677,500/851, numerators are 830,500

Denominators are 677,851

The GCF of 830,500 is 10 .

LCM of 677,851 is 576127.

The greatest common factor of 830/677,500/851 = [GCF of 830,500]/[LCM of 677,851]= 10/576127

Therefore, the GCF of 830/677,500/851 is 10/576127.

Greatest Common Factor of 830,500

To find the highest common factor of 830,500, we have to find the factors of both numbers and list the highest common factor.

The factors of 830 are 1, 2, 5, 10, 83, 166, 415, 830

The factors of 500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

The HCF of 830,500 is 10.

Lets's calculate GCF of 830,500

Greatest Common Factor (GCF) of 830,500 By Common Division

2 830, 500
5 415, 250
83, 50

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 830,500 By Matching Biggest Common Factor Method

Greatest Common Factor of 830,500 By Matching Biggest Common Factor Method

Now, list down the factors of 830

:

1,2,5,10,83,166,415,830

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 830,500 . The biggest common factor number is the GCF number.
So the greatest common factor 830,500 is 10.

Lets's calculate LCM of 677,851

Lowest Common Multiple of 677,851 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 576127

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/576127

Therefore, the GCF of Fractions 830/677,500/851 is 10/576127

Least Common Multiple of 677,851 with GCF Formula

Least Common Multiple of 677,851 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 677,851 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(677,851) = 1

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

GCF(677,851) x common factors =1 x 1 = 1

LCM(677,851) = ( 677 × 851 ) / 1

LCM(677,851) = 576127 / 1

LCM(677,851) = 576127


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 830/677, 500/851

1. What is the HCF of 830,500?

The HCF of 830,500 is 10

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 830/677, 500/851?

Answer: GCF of Numerators as per given numbers 830/677, 500/851 is

GCF of Numerators i.e. for 830,500 is 10

LCM of denominators i.e. for 677,851 is 576127.

Thus, GCF of Fractions is 10/576127.Finally, GCF of Fractions for 830/677, 500/851 is 10/576127.