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GCF of 1030/687, 9017/690

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 1030/687, 9017/690 i.e 1/158010 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1030/687, 9017/690.

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 1030/687,9017/690?

Given fractions are 1030/687,9017/690

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 1030/687,9017/690, numerators are 1030,9017

Denominators are 687,690

The GCF of 1030,9017 is 1 .

LCM of 687,690 is 158010.

The greatest common factor of 1030/687,9017/690 = [GCF of 1030,9017]/[LCM of 687,690]= 1/158010

Therefore, the GCF of 1030/687,9017/690 is 1/158010.

Greatest Common Factor of 1030,9017

To find the highest common factor of 1030,9017, we have to find the factors of both numbers and list the highest common factor.

The factors of 1030 are 1, 2, 5, 10, 103, 206, 515, 1030

The factors of 9017 are 1, 71, 127, 9017

The HCF of 1030,9017 is 1.

Lets's calculate GCF of 1030,9017

Greatest Common Factor (GCF) of 1030,9017 By Common Division

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

Greatest Common Factor of 1030,9017 By Matching Biggest Common Factor Method

Greatest Common Factor of 1030,9017 By Matching Biggest Common Factor Method

Now, list down the factors of 1030

:

1,2,5,10,103,206,515,1030

Now, list down the factors of 9017

:

1,71,127,9017

Greatest Common Factor

We found the factors 1030,9017 . The biggest common factor number is the GCF number.
So the greatest common factor 1030,9017 is 1.

Lets's calculate LCM of 687,690

Lowest Common Multiple of 687,690 using Common Division

3 687, 690
229, 230

∴ So the LCM of the given numbers is 3 x 229 x 230 = 158010

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/158010

Therefore, the GCF of Fractions 1030/687,9017/690 is 1/158010

Least Common Multiple of 687,690 with GCF Formula

Least Common Multiple of 687,690 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 687,690 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(687,690) = 3

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

GCF(687,690) x common factors =3 x 1 = 3

LCM(687,690) = ( 687 × 690 ) / 3

LCM(687,690) = 474030 / 3

LCM(687,690) = 158010


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FAQs on GCF of Fractions of 1030/687, 9017/690

1. What is the HCF of 1030,9017?

The HCF of 1030,9017 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 1030/687, 9017/690?

Answer: GCF of Numerators as per given numbers 1030/687, 9017/690 is

GCF of Numerators i.e. for 1030,9017 is 1

LCM of denominators i.e. for 687,690 is 158010.

Thus, GCF of Fractions is 1/158010.Finally, GCF of Fractions for 1030/687, 9017/690 is 1/158010.