GCF of 9201/763, 1374/3023
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9201/763, 1374/3023 i.e 3/2306549 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9201/763, 1374/3023.
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 9201/763,1374/3023?
Given fractions are 9201/763,1374/3023
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 9201/763,1374/3023, numerators are 9201,1374
Denominators are 763,3023
The GCF of 9201,1374 is 3 .
LCM of 763,3023 is 2306549.
The greatest common factor of 9201/763,1374/3023 = [GCF of 9201,1374]/[LCM of 763,3023]= 3/2306549
Therefore, the GCF of 9201/763,1374/3023 is 3/2306549.
To find the highest common factor of 9201,1374, we have to find the factors of both numbers and list the highest common factor.
The factors of 9201 are 1, 3, 3067, 9201
The factors of 1374 are 1, 2, 3, 6, 229, 458, 687, 1374
The HCF of 9201,1374 is 3.
Lets's calculate GCF of 9201,1374
| 3 | 9201, 1374 |
| 3067, 458 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9201,1374 By Matching Biggest Common Factor Method
Now, list down the factors of 9201
:1,3,3067,9201
Now, list down the factors of 1374
:1,2,3,6,229,458,687,1374
Greatest Common Factor
We found the factors 9201,1374 . The biggest common factor number is the GCF number.
So the greatest common factor 9201,1374 is 3.
Lets's calculate LCM of 763,3023
Given numbers has no common factors except 1. So, there LCM is their product i.e 2306549
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2306549
Therefore, the GCF of Fractions 9201/763,1374/3023 is 3/2306549
Least Common Multiple of 763,3023 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 763,3023 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(763,3023) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(763,3023) x common factors =1 x 1 = 1
LCM(763,3023) = ( 763 × 3023 ) / 1
LCM(763,3023) = 2306549 / 1
LCM(763,3023) = 2306549
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FAQs on GCF of Fractions of 9201/763, 1374/3023
1. What is the HCF of 9201,1374?
The HCF of 9201,1374 is 3
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 9201/763, 1374/3023?
Answer: GCF of Numerators as per given numbers 9201/763, 1374/3023 is
GCF of Numerators i.e. for 9201,1374 is 3
LCM of denominators i.e. for 763,3023 is 2306549.
Thus, GCF of Fractions is 3/2306549.Finally, GCF of Fractions for 9201/763, 1374/3023 is 3/2306549.