GCF of 2602/228, 3231/8466
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2602/228, 3231/8466 i.e 1/321708 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2602/228, 3231/8466.
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 2602/228,3231/8466?
Given fractions are 2602/228,3231/8466
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 2602/228,3231/8466, numerators are 2602,3231
Denominators are 228,8466
The GCF of 2602,3231 is 1 .
LCM of 228,8466 is 321708.
The greatest common factor of 2602/228,3231/8466 = [GCF of 2602,3231]/[LCM of 228,8466]= 1/321708
Therefore, the GCF of 2602/228,3231/8466 is 1/321708.
To find the highest common factor of 2602,3231, we have to find the factors of both numbers and list the highest common factor.
The factors of 2602 are 1, 2, 1301, 2602
The factors of 3231 are 1, 3, 9, 359, 1077, 3231
The HCF of 2602,3231 is 1.
Lets's calculate GCF of 2602,3231
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2602,3231 By Matching Biggest Common Factor Method
Now, list down the factors of 2602
:1,2,1301,2602
Now, list down the factors of 3231
:1,3,9,359,1077,3231
Greatest Common Factor
We found the factors 2602,3231 . The biggest common factor number is the GCF number.
So the greatest common factor 2602,3231 is 1.
Lets's calculate LCM of 228,8466
| 2 | 228, 8466 |
| 3 | 114, 4233 |
| 38, 1411 |
∴ So the LCM of the given numbers is 2 x 3 x 38 x 1411 = 321708
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/321708
Therefore, the GCF of Fractions 2602/228,3231/8466 is 1/321708
Least Common Multiple of 228,8466 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 228,8466 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(228,8466) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(228,8466) x common factors =6 x 1 = 6
LCM(228,8466) = ( 228 × 8466 ) / 6
LCM(228,8466) = 1930248 / 6
LCM(228,8466) = 321708
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FAQs on GCF of Fractions of 2602/228, 3231/8466
1. What is the HCF of 2602,3231?
The HCF of 2602,3231 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 2602/228, 3231/8466?
Answer: GCF of Numerators as per given numbers 2602/228, 3231/8466 is
GCF of Numerators i.e. for 2602,3231 is 1
LCM of denominators i.e. for 228,8466 is 321708.
Thus, GCF of Fractions is 1/321708.Finally, GCF of Fractions for 2602/228, 3231/8466 is 1/321708.