How to Find GCF of 2803/502, 1994/8900?

GCF of 2803/502, 1994/8900

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 2803/502, 1994/8900 i.e 1/2233900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2803/502, 1994/8900.

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 2803/502,1994/8900?

Given fractions are 2803/502,1994/8900

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 2803/502,1994/8900, numerators are 2803,1994

Denominators are 502,8900

The GCF of 2803,1994 is 1 .

LCM of 502,8900 is 2233900.

The greatest common factor of 2803/502,1994/8900 = [GCF of 2803,1994]/[LCM of 502,8900]= 1/2233900

Therefore, the GCF of 2803/502,1994/8900 is 1/2233900.

Greatest Common Factor of 2803,1994

To find the highest common factor of 2803,1994, we have to find the factors of both numbers and list the highest common factor.

The factors of 2803 are 1, 2803

The factors of 1994 are 1, 2, 997, 1994

The HCF of 2803,1994 is 1.

Lets's calculate GCF of 2803,1994

Greatest Common Factor (GCF) of 2803,1994 By Common Division

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

Greatest Common Factor of 2803,1994 By Matching Biggest Common Factor Method

Now, list down the factors of 2803

1,2803

Now, list down the factors of 1994

1,2,997,1994

Greatest Common Factor

We found the factors 2803,1994 . The biggest common factor number is the GCF number.
So the greatest common factor 2803,1994 is 1.

Lets's calculate LCM of 502,8900

Lowest Common Multiple of 502,8900 using Common Division

2	502, 8900
	251, 4450

∴ So the LCM of the given numbers is 2 x 251 x 4450 = 2233900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2233900

Therefore, the GCF of Fractions 2803/502,1994/8900 is 1/2233900

Least Common Multiple of 502,8900 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 502,8900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(502,8900) = 2

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

GCF(502,8900) x common factors =2 x 1 = 2

LCM(502,8900) = ( 502 × 8900 ) / 2

LCM(502,8900) = 4467800 / 2

LCM(502,8900) = 2233900

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FAQs on GCF of Fractions of 2803/502, 1994/8900

1. What is the HCF of 2803,1994?

The HCF of 2803,1994 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 2803/502, 1994/8900?

Answer: GCF of Numerators as per given numbers 2803/502, 1994/8900 is

GCF of Numerators i.e. for 2803,1994 is 1

LCM of denominators i.e. for 502,8900 is 2233900.

Thus, GCF of Fractions is 1/2233900.Finally, GCF of Fractions for 2803/502, 1994/8900 is 1/2233900.