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GCF of 103/865, 618/285

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 103/865, 618/285 i.e 103/49305 easily. The following is the detailed procedure to determine the greatest common factor of fractions 103/865, 618/285.

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 103/865,618/285?

Given fractions are 103/865,618/285

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 103/865,618/285, numerators are 103,618

Denominators are 865,285

The GCF of 103,618 is 103 .

LCM of 865,285 is 49305.

The greatest common factor of 103/865,618/285 = [GCF of 103,618]/[LCM of 865,285]= 103/49305

Therefore, the GCF of 103/865,618/285 is 103/49305.

Greatest Common Factor of 103,618

To find the highest common factor of 103,618, we have to find the factors of both numbers and list the highest common factor.

The factors of 103 are 1, 103

The factors of 618 are 1, 2, 3, 6, 103, 206, 309, 618

The HCF of 103,618 is 103.

Lets's calculate GCF of 103,618

Greatest Common Factor (GCF) of 103,618 By Common Division

103 103, 618
1, 6

∴ So the GCF of the given numbers is 103 = 103

Greatest Common Factor of 103,618 By Matching Biggest Common Factor Method

Greatest Common Factor of 103,618 By Matching Biggest Common Factor Method

Now, list down the factors of 103

:

1,103

Now, list down the factors of 618

:

1,2,3,6,103,206,309,618

Greatest Common Factor

We found the factors 103,618 . The biggest common factor number is the GCF number.
So the greatest common factor 103,618 is 103.

Lets's calculate LCM of 865,285

Lowest Common Multiple of 865,285 using Common Division

5 865, 285
173, 57

∴ So the LCM of the given numbers is 5 x 173 x 57 = 49305

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 103/49305

Therefore, the GCF of Fractions 103/865,618/285 is 103/49305

Least Common Multiple of 865,285 with GCF Formula

Least Common Multiple of 865,285 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 865,285 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(865,285) = 5

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

GCF(865,285) x common factors =5 x 1 = 5

LCM(865,285) = ( 865 × 285 ) / 5

LCM(865,285) = 246525 / 5

LCM(865,285) = 49305


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FAQs on GCF of Fractions of 103/865, 618/285

1. What is the HCF of 103,618?

The HCF of 103,618 is 103

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 103/865, 618/285?

Answer: GCF of Numerators as per given numbers 103/865, 618/285 is

GCF of Numerators i.e. for 103,618 is 103

LCM of denominators i.e. for 865,285 is 49305.

Thus, GCF of Fractions is 103/49305.Finally, GCF of Fractions for 103/865, 618/285 is 103/49305.