GCF of 3564/932, 4017/3153
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3564/932, 4017/3153 i.e 3/2938596 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3564/932, 4017/3153.
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 3564/932,4017/3153?
Given fractions are 3564/932,4017/3153
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 3564/932,4017/3153, numerators are 3564,4017
Denominators are 932,3153
The GCF of 3564,4017 is 3 .
LCM of 932,3153 is 2938596.
The greatest common factor of 3564/932,4017/3153 = [GCF of 3564,4017]/[LCM of 932,3153]= 3/2938596
Therefore, the GCF of 3564/932,4017/3153 is 3/2938596.
To find the highest common factor of 3564,4017, we have to find the factors of both numbers and list the highest common factor.
The factors of 3564 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 81, 99, 108, 132, 162, 198, 297, 324, 396, 594, 891, 1188, 1782, 3564
The factors of 4017 are 1, 3, 13, 39, 103, 309, 1339, 4017
The HCF of 3564,4017 is 3.
Lets's calculate GCF of 3564,4017
| 3 | 3564, 4017 |
| 1188, 1339 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3564,4017 By Matching Biggest Common Factor Method
Now, list down the factors of 3564
:1,2,3,4,6,9,11,12,18,22,27,33,36,44,54,66,81,99,108,132,162,198,297,324,396,594,891,1188,1782,3564
Now, list down the factors of 4017
:1,3,13,39,103,309,1339,4017
Greatest Common Factor
We found the factors 3564,4017 . The biggest common factor number is the GCF number.
So the greatest common factor 3564,4017 is 3.
Lets's calculate LCM of 932,3153
Given numbers has no common factors except 1. So, there LCM is their product i.e 2938596
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2938596
Therefore, the GCF of Fractions 3564/932,4017/3153 is 3/2938596
Least Common Multiple of 932,3153 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 932,3153 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(932,3153) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(932,3153) x common factors =1 x 1 = 1
LCM(932,3153) = ( 932 × 3153 ) / 1
LCM(932,3153) = 2938596 / 1
LCM(932,3153) = 2938596
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FAQs on GCF of Fractions of 3564/932, 4017/3153
1. What is the HCF of 3564,4017?
The HCF of 3564,4017 is 3
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 3564/932, 4017/3153?
Answer: GCF of Numerators as per given numbers 3564/932, 4017/3153 is
GCF of Numerators i.e. for 3564,4017 is 3
LCM of denominators i.e. for 932,3153 is 2938596.
Thus, GCF of Fractions is 3/2938596.Finally, GCF of Fractions for 3564/932, 4017/3153 is 3/2938596.