GCF of 2973/603, 1291/5373
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2973/603, 1291/5373 i.e 1/359991 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2973/603, 1291/5373.
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 2973/603,1291/5373?
Given fractions are 2973/603,1291/5373
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 2973/603,1291/5373, numerators are 2973,1291
Denominators are 603,5373
The GCF of 2973,1291 is 1 .
LCM of 603,5373 is 359991.
The greatest common factor of 2973/603,1291/5373 = [GCF of 2973,1291]/[LCM of 603,5373]= 1/359991
Therefore, the GCF of 2973/603,1291/5373 is 1/359991.
To find the highest common factor of 2973,1291, we have to find the factors of both numbers and list the highest common factor.
The factors of 2973 are 1, 3, 991, 2973
The factors of 1291 are 1, 1291
The HCF of 2973,1291 is 1.
Lets's calculate GCF of 2973,1291
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2973,1291 By Matching Biggest Common Factor Method
Now, list down the factors of 2973
:1,3,991,2973
Now, list down the factors of 1291
:1,1291
Greatest Common Factor
We found the factors 2973,1291 . The biggest common factor number is the GCF number.
So the greatest common factor 2973,1291 is 1.
Lets's calculate LCM of 603,5373
| 3 | 603, 5373 |
| 3 | 201, 1791 |
| 67, 597 |
∴ So the LCM of the given numbers is 3 x 3 x 67 x 597 = 359991
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/359991
Therefore, the GCF of Fractions 2973/603,1291/5373 is 1/359991
Least Common Multiple of 603,5373 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 603,5373 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(603,5373) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(603,5373) x common factors =9 x 1 = 9
LCM(603,5373) = ( 603 × 5373 ) / 9
LCM(603,5373) = 3239919 / 9
LCM(603,5373) = 359991
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FAQs on GCF of Fractions of 2973/603, 1291/5373
1. What is the HCF of 2973,1291?
The HCF of 2973,1291 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 2973/603, 1291/5373?
Answer: GCF of Numerators as per given numbers 2973/603, 1291/5373 is
GCF of Numerators i.e. for 2973,1291 is 1
LCM of denominators i.e. for 603,5373 is 359991.
Thus, GCF of Fractions is 1/359991.Finally, GCF of Fractions for 2973/603, 1291/5373 is 1/359991.