GCF of 4614/161, 5372/3315
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4614/161, 5372/3315 i.e 2/533715 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4614/161, 5372/3315.
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 4614/161,5372/3315?
Given fractions are 4614/161,5372/3315
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 4614/161,5372/3315, numerators are 4614,5372
Denominators are 161,3315
The GCF of 4614,5372 is 2 .
LCM of 161,3315 is 533715.
The greatest common factor of 4614/161,5372/3315 = [GCF of 4614,5372]/[LCM of 161,3315]= 2/533715
Therefore, the GCF of 4614/161,5372/3315 is 2/533715.
To find the highest common factor of 4614,5372, we have to find the factors of both numbers and list the highest common factor.
The factors of 4614 are 1, 2, 3, 6, 769, 1538, 2307, 4614
The factors of 5372 are 1, 2, 4, 17, 34, 68, 79, 158, 316, 1343, 2686, 5372
The HCF of 4614,5372 is 2.
Lets's calculate GCF of 4614,5372
| 2 | 4614, 5372 |
| 2307, 2686 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4614,5372 By Matching Biggest Common Factor Method
Now, list down the factors of 4614
:1,2,3,6,769,1538,2307,4614
Now, list down the factors of 5372
:1,2,4,17,34,68,79,158,316,1343,2686,5372
Greatest Common Factor
We found the factors 4614,5372 . The biggest common factor number is the GCF number.
So the greatest common factor 4614,5372 is 2.
Lets's calculate LCM of 161,3315
Given numbers has no common factors except 1. So, there LCM is their product i.e 533715
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/533715
Therefore, the GCF of Fractions 4614/161,5372/3315 is 2/533715
Least Common Multiple of 161,3315 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 161,3315 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(161,3315) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(161,3315) x common factors =1 x 1 = 1
LCM(161,3315) = ( 161 × 3315 ) / 1
LCM(161,3315) = 533715 / 1
LCM(161,3315) = 533715
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4614/161, 5372/3315
1. What is the HCF of 4614,5372?
The HCF of 4614,5372 is 2
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 4614/161, 5372/3315?
Answer: GCF of Numerators as per given numbers 4614/161, 5372/3315 is
GCF of Numerators i.e. for 4614,5372 is 2
LCM of denominators i.e. for 161,3315 is 533715.
Thus, GCF of Fractions is 2/533715.Finally, GCF of Fractions for 4614/161, 5372/3315 is 2/533715.