GCF of 3441/684, 7027/8172
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3441/684, 7027/8172 i.e 1/155268 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3441/684, 7027/8172.
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 3441/684,7027/8172?
Given fractions are 3441/684,7027/8172
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 3441/684,7027/8172, numerators are 3441,7027
Denominators are 684,8172
The GCF of 3441,7027 is 1 .
LCM of 684,8172 is 155268.
The greatest common factor of 3441/684,7027/8172 = [GCF of 3441,7027]/[LCM of 684,8172]= 1/155268
Therefore, the GCF of 3441/684,7027/8172 is 1/155268.
To find the highest common factor of 3441,7027, we have to find the factors of both numbers and list the highest common factor.
The factors of 3441 are 1, 3, 31, 37, 93, 111, 1147, 3441
The factors of 7027 are 1, 7027
The HCF of 3441,7027 is 1.
Lets's calculate GCF of 3441,7027
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3441,7027 By Matching Biggest Common Factor Method
Now, list down the factors of 3441
:1,3,31,37,93,111,1147,3441
Now, list down the factors of 7027
:1,7027
Greatest Common Factor
We found the factors 3441,7027 . The biggest common factor number is the GCF number.
So the greatest common factor 3441,7027 is 1.
Lets's calculate LCM of 684,8172
| 2 | 684, 8172 |
| 2 | 342, 4086 |
| 3 | 171, 2043 |
| 3 | 57, 681 |
| 19, 227 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 19 x 227 = 155268
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/155268
Therefore, the GCF of Fractions 3441/684,7027/8172 is 1/155268
Least Common Multiple of 684,8172 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 684,8172 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(684,8172) = 36
common factors(in case of two or more numbers have common factors) = 1
GCF(684,8172) x common factors =36 x 1 = 36
LCM(684,8172) = ( 684 × 8172 ) / 36
LCM(684,8172) = 5589648 / 36
LCM(684,8172) = 155268
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FAQs on GCF of Fractions of 3441/684, 7027/8172
1. What is the HCF of 3441,7027?
The HCF of 3441,7027 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 3441/684, 7027/8172?
Answer: GCF of Numerators as per given numbers 3441/684, 7027/8172 is
GCF of Numerators i.e. for 3441,7027 is 1
LCM of denominators i.e. for 684,8172 is 155268.
Thus, GCF of Fractions is 1/155268.Finally, GCF of Fractions for 3441/684, 7027/8172 is 1/155268.