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GCF of 782/270, 1718/9425

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 782/270, 1718/9425 i.e 2/508950 easily. The following is the detailed procedure to determine the greatest common factor of fractions 782/270, 1718/9425.

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 782/270,1718/9425?

Given fractions are 782/270,1718/9425

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 782/270,1718/9425, numerators are 782,1718

Denominators are 270,9425

The GCF of 782,1718 is 2 .

LCM of 270,9425 is 508950.

The greatest common factor of 782/270,1718/9425 = [GCF of 782,1718]/[LCM of 270,9425]= 2/508950

Therefore, the GCF of 782/270,1718/9425 is 2/508950.

Greatest Common Factor of 782,1718

To find the highest common factor of 782,1718, we have to find the factors of both numbers and list the highest common factor.

The factors of 782 are 1, 2, 17, 23, 34, 46, 391, 782

The factors of 1718 are 1, 2, 859, 1718

The HCF of 782,1718 is 2.

Lets's calculate GCF of 782,1718

Greatest Common Factor (GCF) of 782,1718 By Common Division

2 782, 1718
391, 859

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

Greatest Common Factor of 782,1718 By Matching Biggest Common Factor Method

Greatest Common Factor of 782,1718 By Matching Biggest Common Factor Method

Now, list down the factors of 782

:

1,2,17,23,34,46,391,782

Now, list down the factors of 1718

:

1,2,859,1718

Greatest Common Factor

We found the factors 782,1718 . The biggest common factor number is the GCF number.
So the greatest common factor 782,1718 is 2.

Lets's calculate LCM of 270,9425

Lowest Common Multiple of 270,9425 using Common Division

5 270, 9425
54, 1885

∴ So the LCM of the given numbers is 5 x 54 x 1885 = 508950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/508950

Therefore, the GCF of Fractions 782/270,1718/9425 is 2/508950

Least Common Multiple of 270,9425 with GCF Formula

Least Common Multiple of 270,9425 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 270,9425 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(270,9425) = 5

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

GCF(270,9425) x common factors =5 x 1 = 5

LCM(270,9425) = ( 270 × 9425 ) / 5

LCM(270,9425) = 2544750 / 5

LCM(270,9425) = 508950


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 782/270, 1718/9425

1. What is the HCF of 782,1718?

The HCF of 782,1718 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 782/270, 1718/9425?

Answer: GCF of Numerators as per given numbers 782/270, 1718/9425 is

GCF of Numerators i.e. for 782,1718 is 2

LCM of denominators i.e. for 270,9425 is 508950.

Thus, GCF of Fractions is 2/508950.Finally, GCF of Fractions for 782/270, 1718/9425 is 2/508950.