GCF of 5883/434, 1509/4992
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5883/434, 1509/4992 i.e 3/1083264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5883/434, 1509/4992.
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 5883/434,1509/4992?
Given fractions are 5883/434,1509/4992
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 5883/434,1509/4992, numerators are 5883,1509
Denominators are 434,4992
The GCF of 5883,1509 is 3 .
LCM of 434,4992 is 1083264.
The greatest common factor of 5883/434,1509/4992 = [GCF of 5883,1509]/[LCM of 434,4992]= 3/1083264
Therefore, the GCF of 5883/434,1509/4992 is 3/1083264.
To find the highest common factor of 5883,1509, we have to find the factors of both numbers and list the highest common factor.
The factors of 5883 are 1, 3, 37, 53, 111, 159, 1961, 5883
The factors of 1509 are 1, 3, 503, 1509
The HCF of 5883,1509 is 3.
Lets's calculate GCF of 5883,1509
| 3 | 5883, 1509 |
| 1961, 503 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5883,1509 By Matching Biggest Common Factor Method
Now, list down the factors of 5883
:1,3,37,53,111,159,1961,5883
Now, list down the factors of 1509
:1,3,503,1509
Greatest Common Factor
We found the factors 5883,1509 . The biggest common factor number is the GCF number.
So the greatest common factor 5883,1509 is 3.
Lets's calculate LCM of 434,4992
| 2 | 434, 4992 |
| 217, 2496 |
∴ So the LCM of the given numbers is 2 x 217 x 2496 = 1083264
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1083264
Therefore, the GCF of Fractions 5883/434,1509/4992 is 3/1083264
Least Common Multiple of 434,4992 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 434,4992 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(434,4992) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(434,4992) x common factors =2 x 1 = 2
LCM(434,4992) = ( 434 × 4992 ) / 2
LCM(434,4992) = 2166528 / 2
LCM(434,4992) = 1083264
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FAQs on GCF of Fractions of 5883/434, 1509/4992
1. What is the HCF of 5883,1509?
The HCF of 5883,1509 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 5883/434, 1509/4992?
Answer: GCF of Numerators as per given numbers 5883/434, 1509/4992 is
GCF of Numerators i.e. for 5883,1509 is 3
LCM of denominators i.e. for 434,4992 is 1083264.
Thus, GCF of Fractions is 3/1083264.Finally, GCF of Fractions for 5883/434, 1509/4992 is 3/1083264.