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GCF of 1213/500, 6514/782

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 1213/500, 6514/782 i.e 1/195500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1213/500, 6514/782.

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 1213/500,6514/782?

Given fractions are 1213/500,6514/782

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 1213/500,6514/782, numerators are 1213,6514

Denominators are 500,782

The GCF of 1213,6514 is 1 .

LCM of 500,782 is 195500.

The greatest common factor of 1213/500,6514/782 = [GCF of 1213,6514]/[LCM of 500,782]= 1/195500

Therefore, the GCF of 1213/500,6514/782 is 1/195500.

Greatest Common Factor of 1213,6514

To find the highest common factor of 1213,6514, we have to find the factors of both numbers and list the highest common factor.

The factors of 1213 are 1, 1213

The factors of 6514 are 1, 2, 3257, 6514

The HCF of 1213,6514 is 1.

Lets's calculate GCF of 1213,6514

Greatest Common Factor (GCF) of 1213,6514 By Common Division

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

Greatest Common Factor of 1213,6514 By Matching Biggest Common Factor Method

Greatest Common Factor of 1213,6514 By Matching Biggest Common Factor Method

Now, list down the factors of 1213

:

1,1213

Now, list down the factors of 6514

:

1,2,3257,6514

Greatest Common Factor

We found the factors 1213,6514 . The biggest common factor number is the GCF number.
So the greatest common factor 1213,6514 is 1.

Lets's calculate LCM of 500,782

Lowest Common Multiple of 500,782 using Common Division

2 500, 782
250, 391

∴ So the LCM of the given numbers is 2 x 250 x 391 = 195500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/195500

Therefore, the GCF of Fractions 1213/500,6514/782 is 1/195500

Least Common Multiple of 500,782 with GCF Formula

Least Common Multiple of 500,782 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 500,782 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(500,782) = 2

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

GCF(500,782) x common factors =2 x 1 = 2

LCM(500,782) = ( 500 × 782 ) / 2

LCM(500,782) = 391000 / 2

LCM(500,782) = 195500


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FAQs on GCF of Fractions of 1213/500, 6514/782

1. What is the HCF of 1213,6514?

The HCF of 1213,6514 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 1213/500, 6514/782?

Answer: GCF of Numerators as per given numbers 1213/500, 6514/782 is

GCF of Numerators i.e. for 1213,6514 is 1

LCM of denominators i.e. for 500,782 is 195500.

Thus, GCF of Fractions is 1/195500.Finally, GCF of Fractions for 1213/500, 6514/782 is 1/195500.