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GCF of 2887/838, 4704/4186

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 2887/838, 4704/4186 i.e 1/1753934 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2887/838, 4704/4186.

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 2887/838,4704/4186?

Given fractions are 2887/838,4704/4186

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 2887/838,4704/4186, numerators are 2887,4704

Denominators are 838,4186

The GCF of 2887,4704 is 1 .

LCM of 838,4186 is 1753934.

The greatest common factor of 2887/838,4704/4186 = [GCF of 2887,4704]/[LCM of 838,4186]= 1/1753934

Therefore, the GCF of 2887/838,4704/4186 is 1/1753934.

Greatest Common Factor of 2887,4704

To find the highest common factor of 2887,4704, we have to find the factors of both numbers and list the highest common factor.

The factors of 2887 are 1, 2887

The factors of 4704 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 49, 56, 84, 96, 98, 112, 147, 168, 196, 224, 294, 336, 392, 588, 672, 784, 1176, 1568, 2352, 4704

The HCF of 2887,4704 is 1.

Lets's calculate GCF of 2887,4704

Greatest Common Factor (GCF) of 2887,4704 By Common Division

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

Greatest Common Factor of 2887,4704 By Matching Biggest Common Factor Method

Greatest Common Factor of 2887,4704 By Matching Biggest Common Factor Method

Now, list down the factors of 2887

:

1,2887

Now, list down the factors of 4704

:

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,49,56,84,96,98,112,147,168,196,224,294,336,392,588,672,784,1176,1568,2352,4704

Greatest Common Factor

We found the factors 2887,4704 . The biggest common factor number is the GCF number.
So the greatest common factor 2887,4704 is 1.


Lets's calculate LCM of 838,4186

Lowest Common Multiple of 838,4186 using Common Division

2 838, 4186
419, 2093

∴ So the LCM of the given numbers is 2 x 419 x 2093 = 1753934

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1753934

Therefore, the GCF of Fractions 2887/838,4704/4186 is 1/1753934

Least Common Multiple of 838,4186 with GCF Formula

Least Common Multiple of 838,4186 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 838,4186 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(838,4186) = 2

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

GCF(838,4186) x common factors =2 x 1 = 2

LCM(838,4186) = ( 838 × 4186 ) / 2

LCM(838,4186) = 3507868 / 2

LCM(838,4186) = 1753934


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 2887/838, 4704/4186

1. What is the HCF of 2887,4704?

The HCF of 2887,4704 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 2887/838, 4704/4186?

Answer: GCF of Numerators as per given numbers 2887/838, 4704/4186 is

GCF of Numerators i.e. for 2887,4704 is 1

LCM of denominators i.e. for 838,4186 is 1753934.

Thus, GCF of Fractions is 1/1753934.Finally, GCF of Fractions for 2887/838, 4704/4186 is 1/1753934.