GCF of 8328/967, 4632/5606
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8328/967, 4632/5606 i.e 24/5421002 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8328/967, 4632/5606.
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 8328/967,4632/5606?
Given fractions are 8328/967,4632/5606
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 8328/967,4632/5606, numerators are 8328,4632
Denominators are 967,5606
The GCF of 8328,4632 is 24 .
LCM of 967,5606 is 5421002.
The greatest common factor of 8328/967,4632/5606 = [GCF of 8328,4632]/[LCM of 967,5606]= 24/5421002
Therefore, the GCF of 8328/967,4632/5606 is 24/5421002.
To find the highest common factor of 8328,4632, we have to find the factors of both numbers and list the highest common factor.
The factors of 8328 are 1, 2, 3, 4, 6, 8, 12, 24, 347, 694, 1041, 1388, 2082, 2776, 4164, 8328
The factors of 4632 are 1, 2, 3, 4, 6, 8, 12, 24, 193, 386, 579, 772, 1158, 1544, 2316, 4632
The HCF of 8328,4632 is 24.
Lets's calculate GCF of 8328,4632
| 2 | 8328, 4632 |
| 2 | 4164, 2316 |
| 2 | 2082, 1158 |
| 3 | 1041, 579 |
| 347, 193 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24
Greatest Common Factor of 8328,4632 By Matching Biggest Common Factor Method
Now, list down the factors of 8328
:1,2,3,4,6,8,12,24,347,694,1041,1388,2082,2776,4164,8328
Now, list down the factors of 4632
:1,2,3,4,6,8,12,24,193,386,579,772,1158,1544,2316,4632
Greatest Common Factor
We found the factors 8328,4632 . The biggest common factor number is the GCF number.
So the greatest common factor 8328,4632 is 24.
Lets's calculate LCM of 967,5606
Given numbers has no common factors except 1. So, there LCM is their product i.e 5421002
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/5421002
Therefore, the GCF of Fractions 8328/967,4632/5606 is 24/5421002
Least Common Multiple of 967,5606 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 967,5606 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(967,5606) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(967,5606) x common factors =1 x 1 = 1
LCM(967,5606) = ( 967 × 5606 ) / 1
LCM(967,5606) = 5421002 / 1
LCM(967,5606) = 5421002
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FAQs on GCF of Fractions of 8328/967, 4632/5606
1. What is the HCF of 8328,4632?
The HCF of 8328,4632 is 24
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 8328/967, 4632/5606?
Answer: GCF of Numerators as per given numbers 8328/967, 4632/5606 is
GCF of Numerators i.e. for 8328,4632 is 24
LCM of denominators i.e. for 967,5606 is 5421002.
Thus, GCF of Fractions is 24/5421002.Finally, GCF of Fractions for 8328/967, 4632/5606 is 24/5421002.