GCF of 1866/867, 9952/249
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1866/867, 9952/249 i.e 622/71961 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1866/867, 9952/249.
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 1866/867,9952/249?
Given fractions are 1866/867,9952/249
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 1866/867,9952/249, numerators are 1866,9952
Denominators are 867,249
The GCF of 1866,9952 is 622 .
LCM of 867,249 is 71961.
The greatest common factor of 1866/867,9952/249 = [GCF of 1866,9952]/[LCM of 867,249]= 622/71961
Therefore, the GCF of 1866/867,9952/249 is 622/71961.
To find the highest common factor of 1866,9952, we have to find the factors of both numbers and list the highest common factor.
The factors of 1866 are 1, 2, 3, 6, 311, 622, 933, 1866
The factors of 9952 are 1, 2, 4, 8, 16, 32, 311, 622, 1244, 2488, 4976, 9952
The HCF of 1866,9952 is 622.
Lets's calculate GCF of 1866,9952
| 2 | 1866, 9952 |
| 311 | 933, 4976 |
| 3, 16 |
∴ So the GCF of the given numbers is 2 x 311 = 622
Greatest Common Factor of 1866,9952 By Matching Biggest Common Factor Method
Now, list down the factors of 1866
:1,2,3,6,311,622,933,1866
Now, list down the factors of 9952
:1,2,4,8,16,32,311,622,1244,2488,4976,9952
Greatest Common Factor
We found the factors 1866,9952 . The biggest common factor number is the GCF number.
So the greatest common factor 1866,9952 is 622.
Lets's calculate LCM of 867,249
| 3 | 867, 249 |
| 289, 83 |
∴ So the LCM of the given numbers is 3 x 289 x 83 = 71961
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 622/71961
Therefore, the GCF of Fractions 1866/867,9952/249 is 622/71961
Least Common Multiple of 867,249 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 867,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(867,249) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(867,249) x common factors =3 x 1 = 3
LCM(867,249) = ( 867 × 249 ) / 3
LCM(867,249) = 215883 / 3
LCM(867,249) = 71961
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FAQs on GCF of Fractions of 1866/867, 9952/249
1. What is the HCF of 1866,9952?
The HCF of 1866,9952 is 622
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 1866/867, 9952/249?
Answer: GCF of Numerators as per given numbers 1866/867, 9952/249 is
GCF of Numerators i.e. for 1866,9952 is 622
LCM of denominators i.e. for 867,249 is 71961.
Thus, GCF of Fractions is 622/71961.Finally, GCF of Fractions for 1866/867, 9952/249 is 622/71961.