GCF of 4417/282, 4651/452
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4417/282, 4651/452 i.e 1/63732 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4417/282, 4651/452.
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 4417/282,4651/452?
Given fractions are 4417/282,4651/452
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 4417/282,4651/452, numerators are 4417,4651
Denominators are 282,452
The GCF of 4417,4651 is 1 .
LCM of 282,452 is 63732.
The greatest common factor of 4417/282,4651/452 = [GCF of 4417,4651]/[LCM of 282,452]= 1/63732
Therefore, the GCF of 4417/282,4651/452 is 1/63732.
To find the highest common factor of 4417,4651, we have to find the factors of both numbers and list the highest common factor.
The factors of 4417 are 1, 7, 631, 4417
The factors of 4651 are 1, 4651
The HCF of 4417,4651 is 1.
Lets's calculate GCF of 4417,4651
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4417,4651 By Matching Biggest Common Factor Method
Now, list down the factors of 4417
:1,7,631,4417
Now, list down the factors of 4651
:1,4651
Greatest Common Factor
We found the factors 4417,4651 . The biggest common factor number is the GCF number.
So the greatest common factor 4417,4651 is 1.
Lets's calculate LCM of 282,452
| 2 | 282, 452 |
| 141, 226 |
∴ So the LCM of the given numbers is 2 x 141 x 226 = 63732
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63732
Therefore, the GCF of Fractions 4417/282,4651/452 is 1/63732
Least Common Multiple of 282,452 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 282,452 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(282,452) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(282,452) x common factors =2 x 1 = 2
LCM(282,452) = ( 282 × 452 ) / 2
LCM(282,452) = 127464 / 2
LCM(282,452) = 63732
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FAQs on GCF of Fractions of 4417/282, 4651/452
1. What is the HCF of 4417,4651?
The HCF of 4417,4651 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 4417/282, 4651/452?
Answer: GCF of Numerators as per given numbers 4417/282, 4651/452 is
GCF of Numerators i.e. for 4417,4651 is 1
LCM of denominators i.e. for 282,452 is 63732.
Thus, GCF of Fractions is 1/63732.Finally, GCF of Fractions for 4417/282, 4651/452 is 1/63732.