GCF of 2644/453, 9880/8373
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2644/453, 9880/8373 i.e 4/1264323 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2644/453, 9880/8373.
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 2644/453,9880/8373?
Given fractions are 2644/453,9880/8373
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 2644/453,9880/8373, numerators are 2644,9880
Denominators are 453,8373
The GCF of 2644,9880 is 4 .
LCM of 453,8373 is 1264323.
The greatest common factor of 2644/453,9880/8373 = [GCF of 2644,9880]/[LCM of 453,8373]= 4/1264323
Therefore, the GCF of 2644/453,9880/8373 is 4/1264323.
To find the highest common factor of 2644,9880, we have to find the factors of both numbers and list the highest common factor.
The factors of 2644 are 1, 2, 4, 661, 1322, 2644
The factors of 9880 are 1, 2, 4, 5, 8, 10, 13, 19, 20, 26, 38, 40, 52, 65, 76, 95, 104, 130, 152, 190, 247, 260, 380, 494, 520, 760, 988, 1235, 1976, 2470, 4940, 9880
The HCF of 2644,9880 is 4.
Lets's calculate GCF of 2644,9880
| 2 | 2644, 9880 |
| 2 | 1322, 4940 |
| 661, 2470 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 2644,9880 By Matching Biggest Common Factor Method
Now, list down the factors of 2644
:1,2,4,661,1322,2644
Now, list down the factors of 9880
:1,2,4,5,8,10,13,19,20,26,38,40,52,65,76,95,104,130,152,190,247,260,380,494,520,760,988,1235,1976,2470,4940,9880
Greatest Common Factor
We found the factors 2644,9880 . The biggest common factor number is the GCF number.
So the greatest common factor 2644,9880 is 4.
Lets's calculate LCM of 453,8373
| 3 | 453, 8373 |
| 151, 2791 |
∴ So the LCM of the given numbers is 3 x 151 x 2791 = 1264323
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1264323
Therefore, the GCF of Fractions 2644/453,9880/8373 is 4/1264323
Least Common Multiple of 453,8373 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 453,8373 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(453,8373) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(453,8373) x common factors =3 x 1 = 3
LCM(453,8373) = ( 453 × 8373 ) / 3
LCM(453,8373) = 3792969 / 3
LCM(453,8373) = 1264323
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FAQs on GCF of Fractions of 2644/453, 9880/8373
1. What is the HCF of 2644,9880?
The HCF of 2644,9880 is 4
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 2644/453, 9880/8373?
Answer: GCF of Numerators as per given numbers 2644/453, 9880/8373 is
GCF of Numerators i.e. for 2644,9880 is 4
LCM of denominators i.e. for 453,8373 is 1264323.
Thus, GCF of Fractions is 4/1264323.Finally, GCF of Fractions for 2644/453, 9880/8373 is 4/1264323.