How to Find GCF of 5460/200, 9887/6036?

GCF of 5460/200, 9887/6036

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 5460/200, 9887/6036 i.e 1/301800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5460/200, 9887/6036.

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 5460/200,9887/6036?

Given fractions are 5460/200,9887/6036

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 5460/200,9887/6036, numerators are 5460,9887

Denominators are 200,6036

The GCF of 5460,9887 is 1 .

LCM of 200,6036 is 301800.

The greatest common factor of 5460/200,9887/6036 = [GCF of 5460,9887]/[LCM of 200,6036]= 1/301800

Therefore, the GCF of 5460/200,9887/6036 is 1/301800.

Greatest Common Factor of 5460,9887

To find the highest common factor of 5460,9887, we have to find the factors of both numbers and list the highest common factor.

The factors of 5460 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 13, 14, 15, 20, 21, 26, 28, 30, 35, 39, 42, 52, 60, 65, 70, 78, 84, 91, 105, 130, 140, 156, 182, 195, 210, 260, 273, 364, 390, 420, 455, 546, 780, 910, 1092, 1365, 1820, 2730, 5460

The factors of 9887 are 1, 9887

The HCF of 5460,9887 is 1.

Lets's calculate GCF of 5460,9887

Greatest Common Factor (GCF) of 5460,9887 By Common Division

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

Greatest Common Factor of 5460,9887 By Matching Biggest Common Factor Method

Now, list down the factors of 5460

1,2,3,4,5,6,7,10,12,13,14,15,20,21,26,28,30,35,39,42,52,60,65,70,78,84,91,105,130,140,156,182,195,210,260,273,364,390,420,455,546,780,910,1092,1365,1820,2730,5460

Now, list down the factors of 9887

1,9887

Greatest Common Factor

We found the factors 5460,9887 . The biggest common factor number is the GCF number.
So the greatest common factor 5460,9887 is 1.

Lets's calculate LCM of 200,6036

Lowest Common Multiple of 200,6036 using Common Division

2	200, 6036
2	100, 3018
	50, 1509

∴ So the LCM of the given numbers is 2 x 2 x 50 x 1509 = 301800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/301800

Therefore, the GCF of Fractions 5460/200,9887/6036 is 1/301800

Least Common Multiple of 200,6036 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 200,6036 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(200,6036) = 4

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

GCF(200,6036) x common factors =4 x 1 = 4

LCM(200,6036) = ( 200 × 6036 ) / 4

LCM(200,6036) = 1207200 / 4

LCM(200,6036) = 301800

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5460/200, 9887/6036

1. What is the HCF of 5460,9887?

The HCF of 5460,9887 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 5460/200, 9887/6036?

Answer: GCF of Numerators as per given numbers 5460/200, 9887/6036 is

GCF of Numerators i.e. for 5460,9887 is 1

LCM of denominators i.e. for 200,6036 is 301800.

Thus, GCF of Fractions is 1/301800.Finally, GCF of Fractions for 5460/200, 9887/6036 is 1/301800.