How to Find GCF of 5087/210, 2082/2234?

GCF of 5087/210, 2082/2234

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 5087/210, 2082/2234 i.e 1/234570 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5087/210, 2082/2234.

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 5087/210,2082/2234?

Given fractions are 5087/210,2082/2234

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 5087/210,2082/2234, numerators are 5087,2082

Denominators are 210,2234

The GCF of 5087,2082 is 1 .

LCM of 210,2234 is 234570.

The greatest common factor of 5087/210,2082/2234 = [GCF of 5087,2082]/[LCM of 210,2234]= 1/234570

Therefore, the GCF of 5087/210,2082/2234 is 1/234570.

Greatest Common Factor of 5087,2082

To find the highest common factor of 5087,2082, we have to find the factors of both numbers and list the highest common factor.

The factors of 5087 are 1, 5087

The factors of 2082 are 1, 2, 3, 6, 347, 694, 1041, 2082

The HCF of 5087,2082 is 1.

Lets's calculate GCF of 5087,2082

Greatest Common Factor (GCF) of 5087,2082 By Common Division

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

Greatest Common Factor of 5087,2082 By Matching Biggest Common Factor Method

Now, list down the factors of 5087

1,5087

Now, list down the factors of 2082

1,2,3,6,347,694,1041,2082

Greatest Common Factor

We found the factors 5087,2082 . The biggest common factor number is the GCF number.
So the greatest common factor 5087,2082 is 1.

Lets's calculate LCM of 210,2234

Lowest Common Multiple of 210,2234 using Common Division

2	210, 2234
	105, 1117

∴ So the LCM of the given numbers is 2 x 105 x 1117 = 234570

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/234570

Therefore, the GCF of Fractions 5087/210,2082/2234 is 1/234570

Least Common Multiple of 210,2234 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 210,2234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(210,2234) = 2

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

GCF(210,2234) x common factors =2 x 1 = 2

LCM(210,2234) = ( 210 × 2234 ) / 2

LCM(210,2234) = 469140 / 2

LCM(210,2234) = 234570

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FAQs on GCF of Fractions of 5087/210, 2082/2234

1. What is the HCF of 5087,2082?

The HCF of 5087,2082 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 5087/210, 2082/2234?

Answer: GCF of Numerators as per given numbers 5087/210, 2082/2234 is

GCF of Numerators i.e. for 5087,2082 is 1

LCM of denominators i.e. for 210,2234 is 234570.

Thus, GCF of Fractions is 1/234570.Finally, GCF of Fractions for 5087/210, 2082/2234 is 1/234570.