GCF of 8323/596, 2952/6550
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8323/596, 2952/6550 i.e 41/1951900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8323/596, 2952/6550.
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 8323/596,2952/6550?
Given fractions are 8323/596,2952/6550
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 8323/596,2952/6550, numerators are 8323,2952
Denominators are 596,6550
The GCF of 8323,2952 is 41 .
LCM of 596,6550 is 1951900.
The greatest common factor of 8323/596,2952/6550 = [GCF of 8323,2952]/[LCM of 596,6550]= 41/1951900
Therefore, the GCF of 8323/596,2952/6550 is 41/1951900.
To find the highest common factor of 8323,2952, we have to find the factors of both numbers and list the highest common factor.
The factors of 8323 are 1, 7, 29, 41, 203, 287, 1189, 8323
The factors of 2952 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 41, 72, 82, 123, 164, 246, 328, 369, 492, 738, 984, 1476, 2952
The HCF of 8323,2952 is 41.
Lets's calculate GCF of 8323,2952
| 41 | 8323, 2952 |
| 203, 72 |
∴ So the GCF of the given numbers is 41 = 41
Greatest Common Factor of 8323,2952 By Matching Biggest Common Factor Method
Now, list down the factors of 8323
:1,7,29,41,203,287,1189,8323
Now, list down the factors of 2952
:1,2,3,4,6,8,9,12,18,24,36,41,72,82,123,164,246,328,369,492,738,984,1476,2952
Greatest Common Factor
We found the factors 8323,2952 . The biggest common factor number is the GCF number.
So the greatest common factor 8323,2952 is 41.
Lets's calculate LCM of 596,6550
| 2 | 596, 6550 |
| 298, 3275 |
∴ So the LCM of the given numbers is 2 x 298 x 3275 = 1951900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 41/1951900
Therefore, the GCF of Fractions 8323/596,2952/6550 is 41/1951900
Least Common Multiple of 596,6550 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 596,6550 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(596,6550) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(596,6550) x common factors =2 x 1 = 2
LCM(596,6550) = ( 596 × 6550 ) / 2
LCM(596,6550) = 3903800 / 2
LCM(596,6550) = 1951900
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FAQs on GCF of Fractions of 8323/596, 2952/6550
1. What is the HCF of 8323,2952?
The HCF of 8323,2952 is 41
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 8323/596, 2952/6550?
Answer: GCF of Numerators as per given numbers 8323/596, 2952/6550 is
GCF of Numerators i.e. for 8323,2952 is 41
LCM of denominators i.e. for 596,6550 is 1951900.
Thus, GCF of Fractions is 41/1951900.Finally, GCF of Fractions for 8323/596, 2952/6550 is 41/1951900.