GCF of 2332/543, 9964/824
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2332/543, 9964/824 i.e 212/447432 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2332/543, 9964/824.
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 2332/543,9964/824?
Given fractions are 2332/543,9964/824
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 2332/543,9964/824, numerators are 2332,9964
Denominators are 543,824
The GCF of 2332,9964 is 212 .
LCM of 543,824 is 447432.
The greatest common factor of 2332/543,9964/824 = [GCF of 2332,9964]/[LCM of 543,824]= 212/447432
Therefore, the GCF of 2332/543,9964/824 is 212/447432.
To find the highest common factor of 2332,9964, we have to find the factors of both numbers and list the highest common factor.
The factors of 2332 are 1, 2, 4, 11, 22, 44, 53, 106, 212, 583, 1166, 2332
The factors of 9964 are 1, 2, 4, 47, 53, 94, 106, 188, 212, 2491, 4982, 9964
The HCF of 2332,9964 is 212.
Lets's calculate GCF of 2332,9964
| 2 | 2332, 9964 |
| 2 | 1166, 4982 |
| 53 | 583, 2491 |
| 11, 47 |
∴ So the GCF of the given numbers is 2 x 2 x 53 = 212
Greatest Common Factor of 2332,9964 By Matching Biggest Common Factor Method
Now, list down the factors of 2332
:1,2,4,11,22,44,53,106,212,583,1166,2332
Now, list down the factors of 9964
:1,2,4,47,53,94,106,188,212,2491,4982,9964
Greatest Common Factor
We found the factors 2332,9964 . The biggest common factor number is the GCF number.
So the greatest common factor 2332,9964 is 212.
Lets's calculate LCM of 543,824
Given numbers has no common factors except 1. So, there LCM is their product i.e 447432
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 212/447432
Therefore, the GCF of Fractions 2332/543,9964/824 is 212/447432
Least Common Multiple of 543,824 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 543,824 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(543,824) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(543,824) x common factors =1 x 1 = 1
LCM(543,824) = ( 543 × 824 ) / 1
LCM(543,824) = 447432 / 1
LCM(543,824) = 447432
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FAQs on GCF of Fractions of 2332/543, 9964/824
1. What is the HCF of 2332,9964?
The HCF of 2332,9964 is 212
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 2332/543, 9964/824?
Answer: GCF of Numerators as per given numbers 2332/543, 9964/824 is
GCF of Numerators i.e. for 2332,9964 is 212
LCM of denominators i.e. for 543,824 is 447432.
Thus, GCF of Fractions is 212/447432.Finally, GCF of Fractions for 2332/543, 9964/824 is 212/447432.