GCF of 4511/604, 9994/4108
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4511/604, 9994/4108 i.e 1/620308 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4511/604, 9994/4108.
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 4511/604,9994/4108?
Given fractions are 4511/604,9994/4108
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 4511/604,9994/4108, numerators are 4511,9994
Denominators are 604,4108
The GCF of 4511,9994 is 1 .
LCM of 604,4108 is 620308.
The greatest common factor of 4511/604,9994/4108 = [GCF of 4511,9994]/[LCM of 604,4108]= 1/620308
Therefore, the GCF of 4511/604,9994/4108 is 1/620308.
To find the highest common factor of 4511,9994, we have to find the factors of both numbers and list the highest common factor.
The factors of 4511 are 1, 13, 347, 4511
The factors of 9994 are 1, 2, 19, 38, 263, 526, 4997, 9994
The HCF of 4511,9994 is 1.
Lets's calculate GCF of 4511,9994
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4511,9994 By Matching Biggest Common Factor Method
Now, list down the factors of 4511
:1,13,347,4511
Now, list down the factors of 9994
:1,2,19,38,263,526,4997,9994
Greatest Common Factor
We found the factors 4511,9994 . The biggest common factor number is the GCF number.
So the greatest common factor 4511,9994 is 1.
Lets's calculate LCM of 604,4108
| 2 | 604, 4108 |
| 2 | 302, 2054 |
| 151, 1027 |
∴ So the LCM of the given numbers is 2 x 2 x 151 x 1027 = 620308
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/620308
Therefore, the GCF of Fractions 4511/604,9994/4108 is 1/620308
Least Common Multiple of 604,4108 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 604,4108 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(604,4108) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(604,4108) x common factors =4 x 1 = 4
LCM(604,4108) = ( 604 × 4108 ) / 4
LCM(604,4108) = 2481232 / 4
LCM(604,4108) = 620308
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FAQs on GCF of Fractions of 4511/604, 9994/4108
1. What is the HCF of 4511,9994?
The HCF of 4511,9994 is 1
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 4511/604, 9994/4108?
Answer: GCF of Numerators as per given numbers 4511/604, 9994/4108 is
GCF of Numerators i.e. for 4511,9994 is 1
LCM of denominators i.e. for 604,4108 is 620308.
Thus, GCF of Fractions is 1/620308.Finally, GCF of Fractions for 4511/604, 9994/4108 is 1/620308.