How to Find GCF of 2062/993, 2380/9673?

GCF of 2062/993, 2380/9673

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 2062/993, 2380/9673 i.e 2/9605289 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2062/993, 2380/9673.

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 2062/993,2380/9673?

Given fractions are 2062/993,2380/9673

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 2062/993,2380/9673, numerators are 2062,2380

Denominators are 993,9673

The GCF of 2062,2380 is 2 .

LCM of 993,9673 is 9605289.

The greatest common factor of 2062/993,2380/9673 = [GCF of 2062,2380]/[LCM of 993,9673]= 2/9605289

Therefore, the GCF of 2062/993,2380/9673 is 2/9605289.

Greatest Common Factor of 2062,2380

To find the highest common factor of 2062,2380, we have to find the factors of both numbers and list the highest common factor.

The factors of 2062 are 1, 2, 1031, 2062

The factors of 2380 are 1, 2, 4, 5, 7, 10, 14, 17, 20, 28, 34, 35, 68, 70, 85, 119, 140, 170, 238, 340, 476, 595, 1190, 2380

The HCF of 2062,2380 is 2.

Lets's calculate GCF of 2062,2380

Greatest Common Factor (GCF) of 2062,2380 By Common Division

2	2062, 2380
	1031, 1190

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

Greatest Common Factor of 2062,2380 By Matching Biggest Common Factor Method

Now, list down the factors of 2062

1,2,1031,2062

Now, list down the factors of 2380

1,2,4,5,7,10,14,17,20,28,34,35,68,70,85,119,140,170,238,340,476,595,1190,2380

Greatest Common Factor

We found the factors 2062,2380 . The biggest common factor number is the GCF number.
So the greatest common factor 2062,2380 is 2.

Lets's calculate LCM of 993,9673

Lowest Common Multiple of 993,9673 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 9605289

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9605289

Therefore, the GCF of Fractions 2062/993,2380/9673 is 2/9605289

Least Common Multiple of 993,9673 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 993,9673 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(993,9673) = 1

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

GCF(993,9673) x common factors =1 x 1 = 1

LCM(993,9673) = ( 993 × 9673 ) / 1

LCM(993,9673) = 9605289 / 1

LCM(993,9673) = 9605289

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2062/993, 2380/9673

1. What is the HCF of 2062,2380?

The HCF of 2062,2380 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 2062/993, 2380/9673?

Answer: GCF of Numerators as per given numbers 2062/993, 2380/9673 is

GCF of Numerators i.e. for 2062,2380 is 2

LCM of denominators i.e. for 993,9673 is 9605289.

Thus, GCF of Fractions is 2/9605289.Finally, GCF of Fractions for 2062/993, 2380/9673 is 2/9605289.