GCF of 3127/622, 3186/2348
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3127/622, 3186/2348 i.e 59/730228 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3127/622, 3186/2348.
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 3127/622,3186/2348?
Given fractions are 3127/622,3186/2348
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 3127/622,3186/2348, numerators are 3127,3186
Denominators are 622,2348
The GCF of 3127,3186 is 59 .
LCM of 622,2348 is 730228.
The greatest common factor of 3127/622,3186/2348 = [GCF of 3127,3186]/[LCM of 622,2348]= 59/730228
Therefore, the GCF of 3127/622,3186/2348 is 59/730228.
To find the highest common factor of 3127,3186, we have to find the factors of both numbers and list the highest common factor.
The factors of 3127 are 1, 53, 59, 3127
The factors of 3186 are 1, 2, 3, 6, 9, 18, 27, 54, 59, 118, 177, 354, 531, 1062, 1593, 3186
The HCF of 3127,3186 is 59.
Lets's calculate GCF of 3127,3186
| 59 | 3127, 3186 |
| 53, 54 |
∴ So the GCF of the given numbers is 59 = 59
Greatest Common Factor of 3127,3186 By Matching Biggest Common Factor Method
Now, list down the factors of 3127
:1,53,59,3127
Now, list down the factors of 3186
:1,2,3,6,9,18,27,54,59,118,177,354,531,1062,1593,3186
Greatest Common Factor
We found the factors 3127,3186 . The biggest common factor number is the GCF number.
So the greatest common factor 3127,3186 is 59.
Lets's calculate LCM of 622,2348
| 2 | 622, 2348 |
| 311, 1174 |
∴ So the LCM of the given numbers is 2 x 311 x 1174 = 730228
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 59/730228
Therefore, the GCF of Fractions 3127/622,3186/2348 is 59/730228
Least Common Multiple of 622,2348 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 622,2348 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(622,2348) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(622,2348) x common factors =2 x 1 = 2
LCM(622,2348) = ( 622 × 2348 ) / 2
LCM(622,2348) = 1460456 / 2
LCM(622,2348) = 730228
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FAQs on GCF of Fractions of 3127/622, 3186/2348
1. What is the HCF of 3127,3186?
The HCF of 3127,3186 is 59
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 3127/622, 3186/2348?
Answer: GCF of Numerators as per given numbers 3127/622, 3186/2348 is
GCF of Numerators i.e. for 3127,3186 is 59
LCM of denominators i.e. for 622,2348 is 730228.
Thus, GCF of Fractions is 59/730228.Finally, GCF of Fractions for 3127/622, 3186/2348 is 59/730228.