GCF of 4329/962, 3231/5218
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4329/962, 3231/5218 i.e 9/2509858 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4329/962, 3231/5218.
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 4329/962,3231/5218?
Given fractions are 4329/962,3231/5218
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 4329/962,3231/5218, numerators are 4329,3231
Denominators are 962,5218
The GCF of 4329,3231 is 9 .
LCM of 962,5218 is 2509858.
The greatest common factor of 4329/962,3231/5218 = [GCF of 4329,3231]/[LCM of 962,5218]= 9/2509858
Therefore, the GCF of 4329/962,3231/5218 is 9/2509858.
To find the highest common factor of 4329,3231, we have to find the factors of both numbers and list the highest common factor.
The factors of 4329 are 1, 3, 9, 13, 37, 39, 111, 117, 333, 481, 1443, 4329
The factors of 3231 are 1, 3, 9, 359, 1077, 3231
The HCF of 4329,3231 is 9.
Lets's calculate GCF of 4329,3231
| 3 | 4329, 3231 |
| 3 | 1443, 1077 |
| 481, 359 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 4329,3231 By Matching Biggest Common Factor Method
Now, list down the factors of 4329
:1,3,9,13,37,39,111,117,333,481,1443,4329
Now, list down the factors of 3231
:1,3,9,359,1077,3231
Greatest Common Factor
We found the factors 4329,3231 . The biggest common factor number is the GCF number.
So the greatest common factor 4329,3231 is 9.
Lets's calculate LCM of 962,5218
| 2 | 962, 5218 |
| 481, 2609 |
∴ So the LCM of the given numbers is 2 x 481 x 2609 = 2509858
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/2509858
Therefore, the GCF of Fractions 4329/962,3231/5218 is 9/2509858
Least Common Multiple of 962,5218 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 962,5218 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(962,5218) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(962,5218) x common factors =2 x 1 = 2
LCM(962,5218) = ( 962 × 5218 ) / 2
LCM(962,5218) = 5019716 / 2
LCM(962,5218) = 2509858
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FAQs on GCF of Fractions of 4329/962, 3231/5218
1. What is the HCF of 4329,3231?
The HCF of 4329,3231 is 9
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 4329/962, 3231/5218?
Answer: GCF of Numerators as per given numbers 4329/962, 3231/5218 is
GCF of Numerators i.e. for 4329,3231 is 9
LCM of denominators i.e. for 962,5218 is 2509858.
Thus, GCF of Fractions is 9/2509858.Finally, GCF of Fractions for 4329/962, 3231/5218 is 9/2509858.