GCF of 4819/453, 4628/3621
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4819/453, 4628/3621 i.e 1/546771 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4819/453, 4628/3621.
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 4819/453,4628/3621?
Given fractions are 4819/453,4628/3621
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 4819/453,4628/3621, numerators are 4819,4628
Denominators are 453,3621
The GCF of 4819,4628 is 1 .
LCM of 453,3621 is 546771.
The greatest common factor of 4819/453,4628/3621 = [GCF of 4819,4628]/[LCM of 453,3621]= 1/546771
Therefore, the GCF of 4819/453,4628/3621 is 1/546771.
To find the highest common factor of 4819,4628, we have to find the factors of both numbers and list the highest common factor.
The factors of 4819 are 1, 61, 79, 4819
The factors of 4628 are 1, 2, 4, 13, 26, 52, 89, 178, 356, 1157, 2314, 4628
The HCF of 4819,4628 is 1.
Lets's calculate GCF of 4819,4628
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4819,4628 By Matching Biggest Common Factor Method
Now, list down the factors of 4819
:1,61,79,4819
Now, list down the factors of 4628
:1,2,4,13,26,52,89,178,356,1157,2314,4628
Greatest Common Factor
We found the factors 4819,4628 . The biggest common factor number is the GCF number.
So the greatest common factor 4819,4628 is 1.
Lets's calculate LCM of 453,3621
| 3 | 453, 3621 |
| 151, 1207 |
∴ So the LCM of the given numbers is 3 x 151 x 1207 = 546771
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/546771
Therefore, the GCF of Fractions 4819/453,4628/3621 is 1/546771
Least Common Multiple of 453,3621 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 453,3621 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(453,3621) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(453,3621) x common factors =3 x 1 = 3
LCM(453,3621) = ( 453 × 3621 ) / 3
LCM(453,3621) = 1640313 / 3
LCM(453,3621) = 546771
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FAQs on GCF of Fractions of 4819/453, 4628/3621
1. What is the HCF of 4819,4628?
The HCF of 4819,4628 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 4819/453, 4628/3621?
Answer: GCF of Numerators as per given numbers 4819/453, 4628/3621 is
GCF of Numerators i.e. for 4819,4628 is 1
LCM of denominators i.e. for 453,3621 is 546771.
Thus, GCF of Fractions is 1/546771.Finally, GCF of Fractions for 4819/453, 4628/3621 is 1/546771.