GCF of 2581/790, 8352/1866
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2581/790, 8352/1866 i.e 29/737070 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2581/790, 8352/1866.
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 2581/790,8352/1866?
Given fractions are 2581/790,8352/1866
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 2581/790,8352/1866, numerators are 2581,8352
Denominators are 790,1866
The GCF of 2581,8352 is 29 .
LCM of 790,1866 is 737070.
The greatest common factor of 2581/790,8352/1866 = [GCF of 2581,8352]/[LCM of 790,1866]= 29/737070
Therefore, the GCF of 2581/790,8352/1866 is 29/737070.
To find the highest common factor of 2581,8352, we have to find the factors of both numbers and list the highest common factor.
The factors of 2581 are 1, 29, 89, 2581
The factors of 8352 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 29, 32, 36, 48, 58, 72, 87, 96, 116, 144, 174, 232, 261, 288, 348, 464, 522, 696, 928, 1044, 1392, 2088, 2784, 4176, 8352
The HCF of 2581,8352 is 29.
Lets's calculate GCF of 2581,8352
| 29 | 2581, 8352 |
| 89, 288 |
∴ So the GCF of the given numbers is 29 = 29
Greatest Common Factor of 2581,8352 By Matching Biggest Common Factor Method
Now, list down the factors of 2581
:1,29,89,2581
Now, list down the factors of 8352
:1,2,3,4,6,8,9,12,16,18,24,29,32,36,48,58,72,87,96,116,144,174,232,261,288,348,464,522,696,928,1044,1392,2088,2784,4176,8352
Greatest Common Factor
We found the factors 2581,8352 . The biggest common factor number is the GCF number.
So the greatest common factor 2581,8352 is 29.
Lets's calculate LCM of 790,1866
| 2 | 790, 1866 |
| 395, 933 |
∴ So the LCM of the given numbers is 2 x 395 x 933 = 737070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/737070
Therefore, the GCF of Fractions 2581/790,8352/1866 is 29/737070
Least Common Multiple of 790,1866 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 790,1866 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(790,1866) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(790,1866) x common factors =2 x 1 = 2
LCM(790,1866) = ( 790 × 1866 ) / 2
LCM(790,1866) = 1474140 / 2
LCM(790,1866) = 737070
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FAQs on GCF of Fractions of 2581/790, 8352/1866
1. What is the HCF of 2581,8352?
The HCF of 2581,8352 is 29
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 2581/790, 8352/1866?
Answer: GCF of Numerators as per given numbers 2581/790, 8352/1866 is
GCF of Numerators i.e. for 2581,8352 is 29
LCM of denominators i.e. for 790,1866 is 737070.
Thus, GCF of Fractions is 29/737070.Finally, GCF of Fractions for 2581/790, 8352/1866 is 29/737070.