GCF of 3282/427, 8352/2183
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3282/427, 8352/2183 i.e 6/932141 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3282/427, 8352/2183.
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 3282/427,8352/2183?
Given fractions are 3282/427,8352/2183
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 3282/427,8352/2183, numerators are 3282,8352
Denominators are 427,2183
The GCF of 3282,8352 is 6 .
LCM of 427,2183 is 932141.
The greatest common factor of 3282/427,8352/2183 = [GCF of 3282,8352]/[LCM of 427,2183]= 6/932141
Therefore, the GCF of 3282/427,8352/2183 is 6/932141.
To find the highest common factor of 3282,8352, we have to find the factors of both numbers and list the highest common factor.
The factors of 3282 are 1, 2, 3, 6, 547, 1094, 1641, 3282
The factors of 8352 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 29, 32, 36, 48, 58, 72, 87, 96, 116, 144, 174, 232, 261, 288, 348, 464, 522, 696, 928, 1044, 1392, 2088, 2784, 4176, 8352
The HCF of 3282,8352 is 6.
Lets's calculate GCF of 3282,8352
| 2 | 3282, 8352 |
| 3 | 1641, 4176 |
| 547, 1392 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 3282,8352 By Matching Biggest Common Factor Method
Now, list down the factors of 3282
:1,2,3,6,547,1094,1641,3282
Now, list down the factors of 8352
:1,2,3,4,6,8,9,12,16,18,24,29,32,36,48,58,72,87,96,116,144,174,232,261,288,348,464,522,696,928,1044,1392,2088,2784,4176,8352
Greatest Common Factor
We found the factors 3282,8352 . The biggest common factor number is the GCF number.
So the greatest common factor 3282,8352 is 6.
Lets's calculate LCM of 427,2183
Given numbers has no common factors except 1. So, there LCM is their product i.e 932141
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/932141
Therefore, the GCF of Fractions 3282/427,8352/2183 is 6/932141
Least Common Multiple of 427,2183 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 427,2183 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(427,2183) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(427,2183) x common factors =1 x 1 = 1
LCM(427,2183) = ( 427 × 2183 ) / 1
LCM(427,2183) = 932141 / 1
LCM(427,2183) = 932141
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FAQs on GCF of Fractions of 3282/427, 8352/2183
1. What is the HCF of 3282,8352?
The HCF of 3282,8352 is 6
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 3282/427, 8352/2183?
Answer: GCF of Numerators as per given numbers 3282/427, 8352/2183 is
GCF of Numerators i.e. for 3282,8352 is 6
LCM of denominators i.e. for 427,2183 is 932141.
Thus, GCF of Fractions is 6/932141.Finally, GCF of Fractions for 3282/427, 8352/2183 is 6/932141.