GCF of 2201/652, 9883/9340
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2201/652, 9883/9340 i.e 1/1522420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2201/652, 9883/9340.
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 2201/652,9883/9340?
Given fractions are 2201/652,9883/9340
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 2201/652,9883/9340, numerators are 2201,9883
Denominators are 652,9340
The GCF of 2201,9883 is 1 .
LCM of 652,9340 is 1522420.
The greatest common factor of 2201/652,9883/9340 = [GCF of 2201,9883]/[LCM of 652,9340]= 1/1522420
Therefore, the GCF of 2201/652,9883/9340 is 1/1522420.
To find the highest common factor of 2201,9883, we have to find the factors of both numbers and list the highest common factor.
The factors of 2201 are 1, 31, 71, 2201
The factors of 9883 are 1, 9883
The HCF of 2201,9883 is 1.
Lets's calculate GCF of 2201,9883
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2201,9883 By Matching Biggest Common Factor Method
Now, list down the factors of 2201
:1,31,71,2201
Now, list down the factors of 9883
:1,9883
Greatest Common Factor
We found the factors 2201,9883 . The biggest common factor number is the GCF number.
So the greatest common factor 2201,9883 is 1.
Lets's calculate LCM of 652,9340
| 2 | 652, 9340 |
| 2 | 326, 4670 |
| 163, 2335 |
∴ So the LCM of the given numbers is 2 x 2 x 163 x 2335 = 1522420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1522420
Therefore, the GCF of Fractions 2201/652,9883/9340 is 1/1522420
Least Common Multiple of 652,9340 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 652,9340 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(652,9340) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(652,9340) x common factors =4 x 1 = 4
LCM(652,9340) = ( 652 × 9340 ) / 4
LCM(652,9340) = 6089680 / 4
LCM(652,9340) = 1522420
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FAQs on GCF of Fractions of 2201/652, 9883/9340
1. What is the HCF of 2201,9883?
The HCF of 2201,9883 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 2201/652, 9883/9340?
Answer: GCF of Numerators as per given numbers 2201/652, 9883/9340 is
GCF of Numerators i.e. for 2201,9883 is 1
LCM of denominators i.e. for 652,9340 is 1522420.
Thus, GCF of Fractions is 1/1522420.Finally, GCF of Fractions for 2201/652, 9883/9340 is 1/1522420.