GCF of 3778/227, 6712/1362
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3778/227, 6712/1362 i.e 2/1362 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3778/227, 6712/1362.
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 3778/227,6712/1362?
Given fractions are 3778/227,6712/1362
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 3778/227,6712/1362, numerators are 3778,6712
Denominators are 227,1362
The GCF of 3778,6712 is 2 .
LCM of 227,1362 is 1362.
The greatest common factor of 3778/227,6712/1362 = [GCF of 3778,6712]/[LCM of 227,1362]= 2/1362
Therefore, the GCF of 3778/227,6712/1362 is 2/1362.
To find the highest common factor of 3778,6712, we have to find the factors of both numbers and list the highest common factor.
The factors of 3778 are 1, 2, 1889, 3778
The factors of 6712 are 1, 2, 4, 8, 839, 1678, 3356, 6712
The HCF of 3778,6712 is 2.
Lets's calculate GCF of 3778,6712
| 2 | 3778, 6712 |
| 1889, 3356 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3778,6712 By Matching Biggest Common Factor Method
Now, list down the factors of 3778
:1,2,1889,3778
Now, list down the factors of 6712
:1,2,4,8,839,1678,3356,6712
Greatest Common Factor
We found the factors 3778,6712 . The biggest common factor number is the GCF number.
So the greatest common factor 3778,6712 is 2.
Lets's calculate LCM of 227,1362
| 227 | 227, 1362 |
| 1, 6 |
∴ So the LCM of the given numbers is 227 x 1 x 6 = 1362
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1362
Therefore, the GCF of Fractions 3778/227,6712/1362 is 2/1362
Least Common Multiple of 227,1362 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 227,1362 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(227,1362) = 227
common factors(in case of two or more numbers have common factors) = 1
GCF(227,1362) x common factors =227 x 1 = 227
LCM(227,1362) = ( 227 × 1362 ) / 227
LCM(227,1362) = 309174 / 227
LCM(227,1362) = 1362
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3778/227, 6712/1362
1. What is the HCF of 3778,6712?
The HCF of 3778,6712 is 2
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 3778/227, 6712/1362?
Answer: GCF of Numerators as per given numbers 3778/227, 6712/1362 is
GCF of Numerators i.e. for 3778,6712 is 2
LCM of denominators i.e. for 227,1362 is 1362.
Thus, GCF of Fractions is 2/1362.Finally, GCF of Fractions for 3778/227, 6712/1362 is 2/1362.