GCF of 4355/450, 4820/4954
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4355/450, 4820/4954 i.e 5/1114650 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4355/450, 4820/4954.
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 4355/450,4820/4954?
Given fractions are 4355/450,4820/4954
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 4355/450,4820/4954, numerators are 4355,4820
Denominators are 450,4954
The GCF of 4355,4820 is 5 .
LCM of 450,4954 is 1114650.
The greatest common factor of 4355/450,4820/4954 = [GCF of 4355,4820]/[LCM of 450,4954]= 5/1114650
Therefore, the GCF of 4355/450,4820/4954 is 5/1114650.
To find the highest common factor of 4355,4820, we have to find the factors of both numbers and list the highest common factor.
The factors of 4355 are 1, 5, 13, 65, 67, 335, 871, 4355
The factors of 4820 are 1, 2, 4, 5, 10, 20, 241, 482, 964, 1205, 2410, 4820
The HCF of 4355,4820 is 5.
Lets's calculate GCF of 4355,4820
| 5 | 4355, 4820 |
| 871, 964 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 4355,4820 By Matching Biggest Common Factor Method
Now, list down the factors of 4355
:1,5,13,65,67,335,871,4355
Now, list down the factors of 4820
:1,2,4,5,10,20,241,482,964,1205,2410,4820
Greatest Common Factor
We found the factors 4355,4820 . The biggest common factor number is the GCF number.
So the greatest common factor 4355,4820 is 5.
Lets's calculate LCM of 450,4954
| 2 | 450, 4954 |
| 225, 2477 |
∴ So the LCM of the given numbers is 2 x 225 x 2477 = 1114650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1114650
Therefore, the GCF of Fractions 4355/450,4820/4954 is 5/1114650
Least Common Multiple of 450,4954 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 450,4954 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(450,4954) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(450,4954) x common factors =2 x 1 = 2
LCM(450,4954) = ( 450 × 4954 ) / 2
LCM(450,4954) = 2229300 / 2
LCM(450,4954) = 1114650
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FAQs on GCF of Fractions of 4355/450, 4820/4954
1. What is the HCF of 4355,4820?
The HCF of 4355,4820 is 5
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 4355/450, 4820/4954?
Answer: GCF of Numerators as per given numbers 4355/450, 4820/4954 is
GCF of Numerators i.e. for 4355,4820 is 5
LCM of denominators i.e. for 450,4954 is 1114650.
Thus, GCF of Fractions is 5/1114650.Finally, GCF of Fractions for 4355/450, 4820/4954 is 5/1114650.