GCF of 2433/214, 8757/9880
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2433/214, 8757/9880 i.e 3/1057160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2433/214, 8757/9880.
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 2433/214,8757/9880?
Given fractions are 2433/214,8757/9880
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 2433/214,8757/9880, numerators are 2433,8757
Denominators are 214,9880
The GCF of 2433,8757 is 3 .
LCM of 214,9880 is 1057160.
The greatest common factor of 2433/214,8757/9880 = [GCF of 2433,8757]/[LCM of 214,9880]= 3/1057160
Therefore, the GCF of 2433/214,8757/9880 is 3/1057160.
To find the highest common factor of 2433,8757, we have to find the factors of both numbers and list the highest common factor.
The factors of 2433 are 1, 3, 811, 2433
The factors of 8757 are 1, 3, 7, 9, 21, 63, 139, 417, 973, 1251, 2919, 8757
The HCF of 2433,8757 is 3.
Lets's calculate GCF of 2433,8757
| 3 | 2433, 8757 |
| 811, 2919 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2433,8757 By Matching Biggest Common Factor Method
Now, list down the factors of 2433
:1,3,811,2433
Now, list down the factors of 8757
:1,3,7,9,21,63,139,417,973,1251,2919,8757
Greatest Common Factor
We found the factors 2433,8757 . The biggest common factor number is the GCF number.
So the greatest common factor 2433,8757 is 3.
Lets's calculate LCM of 214,9880
| 2 | 214, 9880 |
| 107, 4940 |
∴ So the LCM of the given numbers is 2 x 107 x 4940 = 1057160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1057160
Therefore, the GCF of Fractions 2433/214,8757/9880 is 3/1057160
Least Common Multiple of 214,9880 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 214,9880 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(214,9880) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(214,9880) x common factors =2 x 1 = 2
LCM(214,9880) = ( 214 × 9880 ) / 2
LCM(214,9880) = 2114320 / 2
LCM(214,9880) = 1057160
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FAQs on GCF of Fractions of 2433/214, 8757/9880
1. What is the HCF of 2433,8757?
The HCF of 2433,8757 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 2433/214, 8757/9880?
Answer: GCF of Numerators as per given numbers 2433/214, 8757/9880 is
GCF of Numerators i.e. for 2433,8757 is 3
LCM of denominators i.e. for 214,9880 is 1057160.
Thus, GCF of Fractions is 3/1057160.Finally, GCF of Fractions for 2433/214, 8757/9880 is 3/1057160.