How to Find GCF of 2859/356, 2139/9000?

GCF of 2859/356, 2139/9000

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 2859/356, 2139/9000 i.e 3/801000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2859/356, 2139/9000.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 2859/356,2139/9000?

Given fractions are 2859/356,2139/9000

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 2859/356,2139/9000, numerators are 2859,2139

Denominators are 356,9000

The GCF of 2859,2139 is 3 .

LCM of 356,9000 is 801000.

The greatest common factor of 2859/356,2139/9000 = [GCF of 2859,2139]/[LCM of 356,9000]= 3/801000

Therefore, the GCF of 2859/356,2139/9000 is 3/801000.

Greatest Common Factor of 2859,2139

To find the highest common factor of 2859,2139, we have to find the factors of both numbers and list the highest common factor.

The factors of 2859 are 1, 3, 953, 2859

The factors of 2139 are 1, 3, 23, 31, 69, 93, 713, 2139

The HCF of 2859,2139 is 3.

Lets's calculate GCF of 2859,2139

Greatest Common Factor (GCF) of 2859,2139 By Common Division

3	2859, 2139
	953, 713

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 2859,2139 By Matching Biggest Common Factor Method

Now, list down the factors of 2859

1,3,953,2859

Now, list down the factors of 2139

1,3,23,31,69,93,713,2139

Greatest Common Factor

We found the factors 2859,2139 . The biggest common factor number is the GCF number.
So the greatest common factor 2859,2139 is 3.

Lets's calculate LCM of 356,9000

Lowest Common Multiple of 356,9000 using Common Division

2	356, 9000
2	178, 4500
	89, 2250

∴ So the LCM of the given numbers is 2 x 2 x 89 x 2250 = 801000

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/801000

Therefore, the GCF of Fractions 2859/356,2139/9000 is 3/801000

Least Common Multiple of 356,9000 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 356,9000 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(356,9000) = 4

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

GCF(356,9000) x common factors =4 x 1 = 4

LCM(356,9000) = ( 356 × 9000 ) / 4

LCM(356,9000) = 3204000 / 4

LCM(356,9000) = 801000

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FAQs on GCF of Fractions of 2859/356, 2139/9000

1. What is the HCF of 2859,2139?

The HCF of 2859,2139 is 3

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 2859/356, 2139/9000?

Answer: GCF of Numerators as per given numbers 2859/356, 2139/9000 is

GCF of Numerators i.e. for 2859,2139 is 3

LCM of denominators i.e. for 356,9000 is 801000.

Thus, GCF of Fractions is 3/801000.Finally, GCF of Fractions for 2859/356, 2139/9000 is 3/801000.