How to Find GCF of 9802/950, 2038/5539?

GCF of 9802/950, 2038/5539

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 9802/950, 2038/5539 i.e 2/5262050 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9802/950, 2038/5539.

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 9802/950,2038/5539?

Given fractions are 9802/950,2038/5539

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 9802/950,2038/5539, numerators are 9802,2038

Denominators are 950,5539

The GCF of 9802,2038 is 2 .

LCM of 950,5539 is 5262050.

The greatest common factor of 9802/950,2038/5539 = [GCF of 9802,2038]/[LCM of 950,5539]= 2/5262050

Therefore, the GCF of 9802/950,2038/5539 is 2/5262050.

Greatest Common Factor of 9802,2038

To find the highest common factor of 9802,2038, we have to find the factors of both numbers and list the highest common factor.

The factors of 9802 are 1, 2, 13, 26, 29, 58, 169, 338, 377, 754, 4901, 9802

The factors of 2038 are 1, 2, 1019, 2038

The HCF of 9802,2038 is 2.

Lets's calculate GCF of 9802,2038

Greatest Common Factor (GCF) of 9802,2038 By Common Division

2	9802, 2038
	4901, 1019

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

Greatest Common Factor of 9802,2038 By Matching Biggest Common Factor Method

Now, list down the factors of 9802

1,2,13,26,29,58,169,338,377,754,4901,9802

Now, list down the factors of 2038

1,2,1019,2038

Greatest Common Factor

We found the factors 9802,2038 . The biggest common factor number is the GCF number.
So the greatest common factor 9802,2038 is 2.

Lets's calculate LCM of 950,5539

Lowest Common Multiple of 950,5539 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5262050

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5262050

Therefore, the GCF of Fractions 9802/950,2038/5539 is 2/5262050

Least Common Multiple of 950,5539 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 950,5539 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(950,5539) = 1

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

GCF(950,5539) x common factors =1 x 1 = 1

LCM(950,5539) = ( 950 × 5539 ) / 1

LCM(950,5539) = 5262050 / 1

LCM(950,5539) = 5262050

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FAQs on GCF of Fractions of 9802/950, 2038/5539

1. What is the HCF of 9802,2038?

The HCF of 9802,2038 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 9802/950, 2038/5539?

Answer: GCF of Numerators as per given numbers 9802/950, 2038/5539 is

GCF of Numerators i.e. for 9802,2038 is 2

LCM of denominators i.e. for 950,5539 is 5262050.

Thus, GCF of Fractions is 2/5262050.Finally, GCF of Fractions for 9802/950, 2038/5539 is 2/5262050.