How to Find GCF of 2086/300, 8432/5630?

GCF of 2086/300, 8432/5630

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 2086/300, 8432/5630 i.e 2/168900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2086/300, 8432/5630.

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 2086/300,8432/5630?

Given fractions are 2086/300,8432/5630

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 2086/300,8432/5630, numerators are 2086,8432

Denominators are 300,5630

The GCF of 2086,8432 is 2 .

LCM of 300,5630 is 168900.

The greatest common factor of 2086/300,8432/5630 = [GCF of 2086,8432]/[LCM of 300,5630]= 2/168900

Therefore, the GCF of 2086/300,8432/5630 is 2/168900.

Greatest Common Factor of 2086,8432

To find the highest common factor of 2086,8432, we have to find the factors of both numbers and list the highest common factor.

The factors of 2086 are 1, 2, 7, 14, 149, 298, 1043, 2086

The factors of 8432 are 1, 2, 4, 8, 16, 17, 31, 34, 62, 68, 124, 136, 248, 272, 496, 527, 1054, 2108, 4216, 8432

The HCF of 2086,8432 is 2.

Lets's calculate GCF of 2086,8432

Greatest Common Factor (GCF) of 2086,8432 By Common Division

2	2086, 8432
	1043, 4216

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 2086,8432 By Matching Biggest Common Factor Method

Now, list down the factors of 2086

1,2,7,14,149,298,1043,2086

Now, list down the factors of 8432

1,2,4,8,16,17,31,34,62,68,124,136,248,272,496,527,1054,2108,4216,8432

Greatest Common Factor

We found the factors 2086,8432 . The biggest common factor number is the GCF number.
So the greatest common factor 2086,8432 is 2.

Lets's calculate LCM of 300,5630

Lowest Common Multiple of 300,5630 using Common Division

2	300, 5630
5	150, 2815
	30, 563

∴ So the LCM of the given numbers is 2 x 5 x 30 x 563 = 168900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/168900

Therefore, the GCF of Fractions 2086/300,8432/5630 is 2/168900

Least Common Multiple of 300,5630 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 300,5630 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(300,5630) = 10

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

GCF(300,5630) x common factors =10 x 1 = 10

LCM(300,5630) = ( 300 × 5630 ) / 10

LCM(300,5630) = 1689000 / 10

LCM(300,5630) = 168900

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2086/300, 8432/5630

1. What is the HCF of 2086,8432?

The HCF of 2086,8432 is 2

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 2086/300, 8432/5630?

Answer: GCF of Numerators as per given numbers 2086/300, 8432/5630 is

GCF of Numerators i.e. for 2086,8432 is 2

LCM of denominators i.e. for 300,5630 is 168900.

Thus, GCF of Fractions is 2/168900.Finally, GCF of Fractions for 2086/300, 8432/5630 is 2/168900.