How to Find GCF of 9821/250, 6703/2740?

GCF of 9821/250, 6703/2740

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 9821/250, 6703/2740 i.e 1/68500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9821/250, 6703/2740.

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 9821/250,6703/2740?

Given fractions are 9821/250,6703/2740

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 9821/250,6703/2740, numerators are 9821,6703

Denominators are 250,2740

The GCF of 9821,6703 is 1 .

LCM of 250,2740 is 68500.

The greatest common factor of 9821/250,6703/2740 = [GCF of 9821,6703]/[LCM of 250,2740]= 1/68500

Therefore, the GCF of 9821/250,6703/2740 is 1/68500.

Greatest Common Factor of 9821,6703

To find the highest common factor of 9821,6703, we have to find the factors of both numbers and list the highest common factor.

The factors of 9821 are 1, 7, 23, 61, 161, 427, 1403, 9821

The factors of 6703 are 1, 6703

The HCF of 9821,6703 is 1.

Lets's calculate GCF of 9821,6703

Greatest Common Factor (GCF) of 9821,6703 By Common Division

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

Greatest Common Factor of 9821,6703 By Matching Biggest Common Factor Method

Now, list down the factors of 9821

1,7,23,61,161,427,1403,9821

Now, list down the factors of 6703

1,6703

Greatest Common Factor

We found the factors 9821,6703 . The biggest common factor number is the GCF number.
So the greatest common factor 9821,6703 is 1.

Lets's calculate LCM of 250,2740

Lowest Common Multiple of 250,2740 using Common Division

2	250, 2740
5	125, 1370
	25, 274

∴ So the LCM of the given numbers is 2 x 5 x 25 x 274 = 68500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/68500

Therefore, the GCF of Fractions 9821/250,6703/2740 is 1/68500

Least Common Multiple of 250,2740 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 250,2740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(250,2740) = 10

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

GCF(250,2740) x common factors =10 x 1 = 10

LCM(250,2740) = ( 250 × 2740 ) / 10

LCM(250,2740) = 685000 / 10

LCM(250,2740) = 68500

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FAQs on GCF of Fractions of 9821/250, 6703/2740

1. What is the HCF of 9821,6703?

The HCF of 9821,6703 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 9821/250, 6703/2740?

Answer: GCF of Numerators as per given numbers 9821/250, 6703/2740 is

GCF of Numerators i.e. for 9821,6703 is 1

LCM of denominators i.e. for 250,2740 is 68500.

Thus, GCF of Fractions is 1/68500.Finally, GCF of Fractions for 9821/250, 6703/2740 is 1/68500.