GCF of 4508/608, 9637/583
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4508/608, 9637/583 i.e 23/354464 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4508/608, 9637/583.
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 4508/608,9637/583?
Given fractions are 4508/608,9637/583
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 4508/608,9637/583, numerators are 4508,9637
Denominators are 608,583
The GCF of 4508,9637 is 23 .
LCM of 608,583 is 354464.
The greatest common factor of 4508/608,9637/583 = [GCF of 4508,9637]/[LCM of 608,583]= 23/354464
Therefore, the GCF of 4508/608,9637/583 is 23/354464.
To find the highest common factor of 4508,9637, we have to find the factors of both numbers and list the highest common factor.
The factors of 4508 are 1, 2, 4, 7, 14, 23, 28, 46, 49, 92, 98, 161, 196, 322, 644, 1127, 2254, 4508
The factors of 9637 are 1, 23, 419, 9637
The HCF of 4508,9637 is 23.
Lets's calculate GCF of 4508,9637
| 23 | 4508, 9637 |
| 196, 419 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 4508,9637 By Matching Biggest Common Factor Method
Now, list down the factors of 4508
:1,2,4,7,14,23,28,46,49,92,98,161,196,322,644,1127,2254,4508
Now, list down the factors of 9637
:1,23,419,9637
Greatest Common Factor
We found the factors 4508,9637 . The biggest common factor number is the GCF number.
So the greatest common factor 4508,9637 is 23.
Lets's calculate LCM of 608,583
Given numbers has no common factors except 1. So, there LCM is their product i.e 354464
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/354464
Therefore, the GCF of Fractions 4508/608,9637/583 is 23/354464
Least Common Multiple of 608,583 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 608,583 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(608,583) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(608,583) x common factors =1 x 1 = 1
LCM(608,583) = ( 608 × 583 ) / 1
LCM(608,583) = 354464 / 1
LCM(608,583) = 354464
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FAQs on GCF of Fractions of 4508/608, 9637/583
1. What is the HCF of 4508,9637?
The HCF of 4508,9637 is 23
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 4508/608, 9637/583?
Answer: GCF of Numerators as per given numbers 4508/608, 9637/583 is
GCF of Numerators i.e. for 4508,9637 is 23
LCM of denominators i.e. for 608,583 is 354464.
Thus, GCF of Fractions is 23/354464.Finally, GCF of Fractions for 4508/608, 9637/583 is 23/354464.