GCF of 4621/182, 9701/1658
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4621/182, 9701/1658 i.e 1/150878 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4621/182, 9701/1658.
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 4621/182,9701/1658?
Given fractions are 4621/182,9701/1658
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 4621/182,9701/1658, numerators are 4621,9701
Denominators are 182,1658
The GCF of 4621,9701 is 1 .
LCM of 182,1658 is 150878.
The greatest common factor of 4621/182,9701/1658 = [GCF of 4621,9701]/[LCM of 182,1658]= 1/150878
Therefore, the GCF of 4621/182,9701/1658 is 1/150878.
To find the highest common factor of 4621,9701, we have to find the factors of both numbers and list the highest common factor.
The factors of 4621 are 1, 4621
The factors of 9701 are 1, 89, 109, 9701
The HCF of 4621,9701 is 1.
Lets's calculate GCF of 4621,9701
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4621,9701 By Matching Biggest Common Factor Method
Now, list down the factors of 4621
:1,4621
Now, list down the factors of 9701
:1,89,109,9701
Greatest Common Factor
We found the factors 4621,9701 . The biggest common factor number is the GCF number.
So the greatest common factor 4621,9701 is 1.
Lets's calculate LCM of 182,1658
| 2 | 182, 1658 |
| 91, 829 |
∴ So the LCM of the given numbers is 2 x 91 x 829 = 150878
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/150878
Therefore, the GCF of Fractions 4621/182,9701/1658 is 1/150878
Least Common Multiple of 182,1658 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 182,1658 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(182,1658) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(182,1658) x common factors =2 x 1 = 2
LCM(182,1658) = ( 182 × 1658 ) / 2
LCM(182,1658) = 301756 / 2
LCM(182,1658) = 150878
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4621/182, 9701/1658
1. What is the HCF of 4621,9701?
The HCF of 4621,9701 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 4621/182, 9701/1658?
Answer: GCF of Numerators as per given numbers 4621/182, 9701/1658 is
GCF of Numerators i.e. for 4621,9701 is 1
LCM of denominators i.e. for 182,1658 is 150878.
Thus, GCF of Fractions is 1/150878.Finally, GCF of Fractions for 4621/182, 9701/1658 is 1/150878.