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GCF of 887/268, 1030/898

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 887/268, 1030/898 i.e 1/120332 easily. The following is the detailed procedure to determine the greatest common factor of fractions 887/268, 1030/898.

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 887/268,1030/898?

Given fractions are 887/268,1030/898

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 887/268,1030/898, numerators are 887,1030

Denominators are 268,898

The GCF of 887,1030 is 1 .

LCM of 268,898 is 120332.

The greatest common factor of 887/268,1030/898 = [GCF of 887,1030]/[LCM of 268,898]= 1/120332

Therefore, the GCF of 887/268,1030/898 is 1/120332.

Greatest Common Factor of 887,1030

To find the highest common factor of 887,1030, we have to find the factors of both numbers and list the highest common factor.

The factors of 887 are 1, 887

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

The HCF of 887,1030 is 1.

Lets's calculate GCF of 887,1030

Greatest Common Factor (GCF) of 887,1030 By Common Division

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

Greatest Common Factor of 887,1030 By Matching Biggest Common Factor Method

Greatest Common Factor of 887,1030 By Matching Biggest Common Factor Method

Now, list down the factors of 887

:

1,887

Now, list down the factors of 1030

:

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

Greatest Common Factor

We found the factors 887,1030 . The biggest common factor number is the GCF number.
So the greatest common factor 887,1030 is 1.

Lets's calculate LCM of 268,898

Lowest Common Multiple of 268,898 using Common Division

2 268, 898
134, 449

∴ So the LCM of the given numbers is 2 x 134 x 449 = 120332

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/120332

Therefore, the GCF of Fractions 887/268,1030/898 is 1/120332

Least Common Multiple of 268,898 with GCF Formula

Least Common Multiple of 268,898 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 268,898 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(268,898) = 2

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

GCF(268,898) x common factors =2 x 1 = 2

LCM(268,898) = ( 268 × 898 ) / 2

LCM(268,898) = 240664 / 2

LCM(268,898) = 120332


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FAQs on GCF of Fractions of 887/268, 1030/898

1. What is the HCF of 887,1030?

The HCF of 887,1030 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 887/268, 1030/898?

Answer: GCF of Numerators as per given numbers 887/268, 1030/898 is

GCF of Numerators i.e. for 887,1030 is 1

LCM of denominators i.e. for 268,898 is 120332.

Thus, GCF of Fractions is 1/120332.Finally, GCF of Fractions for 887/268, 1030/898 is 1/120332.