GCF of 4619/652, 4610/1916
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4619/652, 4610/1916 i.e 1/312308 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4619/652, 4610/1916.
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 4619/652,4610/1916?
Given fractions are 4619/652,4610/1916
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 4619/652,4610/1916, numerators are 4619,4610
Denominators are 652,1916
The GCF of 4619,4610 is 1 .
LCM of 652,1916 is 312308.
The greatest common factor of 4619/652,4610/1916 = [GCF of 4619,4610]/[LCM of 652,1916]= 1/312308
Therefore, the GCF of 4619/652,4610/1916 is 1/312308.
To find the highest common factor of 4619,4610, we have to find the factors of both numbers and list the highest common factor.
The factors of 4619 are 1, 31, 149, 4619
The factors of 4610 are 1, 2, 5, 10, 461, 922, 2305, 4610
The HCF of 4619,4610 is 1.
Lets's calculate GCF of 4619,4610
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4619,4610 By Matching Biggest Common Factor Method
Now, list down the factors of 4619
:1,31,149,4619
Now, list down the factors of 4610
:1,2,5,10,461,922,2305,4610
Greatest Common Factor
We found the factors 4619,4610 . The biggest common factor number is the GCF number.
So the greatest common factor 4619,4610 is 1.
Lets's calculate LCM of 652,1916
| 2 | 652, 1916 |
| 2 | 326, 958 |
| 163, 479 |
∴ So the LCM of the given numbers is 2 x 2 x 163 x 479 = 312308
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/312308
Therefore, the GCF of Fractions 4619/652,4610/1916 is 1/312308
Least Common Multiple of 652,1916 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 652,1916 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(652,1916) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(652,1916) x common factors =4 x 1 = 4
LCM(652,1916) = ( 652 × 1916 ) / 4
LCM(652,1916) = 1249232 / 4
LCM(652,1916) = 312308
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FAQs on GCF of Fractions of 4619/652, 4610/1916
1. What is the HCF of 4619,4610?
The HCF of 4619,4610 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 4619/652, 4610/1916?
Answer: GCF of Numerators as per given numbers 4619/652, 4610/1916 is
GCF of Numerators i.e. for 4619,4610 is 1
LCM of denominators i.e. for 652,1916 is 312308.
Thus, GCF of Fractions is 1/312308.Finally, GCF of Fractions for 4619/652, 4610/1916 is 1/312308.