GCF of 4566/602, 9109/668
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4566/602, 9109/668 i.e 1/201068 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4566/602, 9109/668.
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 4566/602,9109/668?
Given fractions are 4566/602,9109/668
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 4566/602,9109/668, numerators are 4566,9109
Denominators are 602,668
The GCF of 4566,9109 is 1 .
LCM of 602,668 is 201068.
The greatest common factor of 4566/602,9109/668 = [GCF of 4566,9109]/[LCM of 602,668]= 1/201068
Therefore, the GCF of 4566/602,9109/668 is 1/201068.
To find the highest common factor of 4566,9109, we have to find the factors of both numbers and list the highest common factor.
The factors of 4566 are 1, 2, 3, 6, 761, 1522, 2283, 4566
The factors of 9109 are 1, 9109
The HCF of 4566,9109 is 1.
Lets's calculate GCF of 4566,9109
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4566,9109 By Matching Biggest Common Factor Method
Now, list down the factors of 4566
:1,2,3,6,761,1522,2283,4566
Now, list down the factors of 9109
:1,9109
Greatest Common Factor
We found the factors 4566,9109 . The biggest common factor number is the GCF number.
So the greatest common factor 4566,9109 is 1.
Lets's calculate LCM of 602,668
| 2 | 602, 668 |
| 301, 334 |
∴ So the LCM of the given numbers is 2 x 301 x 334 = 201068
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/201068
Therefore, the GCF of Fractions 4566/602,9109/668 is 1/201068
Least Common Multiple of 602,668 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 602,668 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(602,668) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(602,668) x common factors =2 x 1 = 2
LCM(602,668) = ( 602 × 668 ) / 2
LCM(602,668) = 402136 / 2
LCM(602,668) = 201068
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4566/602, 9109/668
1. What is the HCF of 4566,9109?
The HCF of 4566,9109 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 4566/602, 9109/668?
Answer: GCF of Numerators as per given numbers 4566/602, 9109/668 is
GCF of Numerators i.e. for 4566,9109 is 1
LCM of denominators i.e. for 602,668 is 201068.
Thus, GCF of Fractions is 1/201068.Finally, GCF of Fractions for 4566/602, 9109/668 is 1/201068.