Use our free GCF of Fractions Calculator tool to compute the GCF of 1869/190, 5764/3780 i.e 1/71820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1869/190, 5764/3780.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1869/190,5764/3780
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 1869/190,5764/3780, numerators are 1869,5764
Denominators are 190,3780
The GCF of 1869,5764 is 1 .
LCM of 190,3780 is 71820.
The greatest common factor of 1869/190,5764/3780 = [GCF of 1869,5764]/[LCM of 190,3780]= 1/71820
Therefore, the GCF of 1869/190,5764/3780 is 1/71820.
To find the highest common factor of 1869,5764, we have to find the factors of both numbers and list the highest common factor.
The factors of 1869 are 1, 3, 7, 21, 89, 267, 623, 1869
The factors of 5764 are 1, 2, 4, 11, 22, 44, 131, 262, 524, 1441, 2882, 5764
The HCF of 1869,5764 is 1.
Lets's calculate GCF of 1869,5764
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 1869
:1,3,7,21,89,267,623,1869
Now, list down the factors of 5764
:1,2,4,11,22,44,131,262,524,1441,2882,5764
Greatest Common Factor
We found the factors 1869,5764 . The biggest common factor number is the GCF number.
So the greatest common factor 1869,5764 is 1.
Lets's calculate LCM of 190,3780
2 | 190, 3780 |
5 | 95, 1890 |
19, 378 |
∴ So the LCM of the given numbers is 2 x 5 x 19 x 378 = 71820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71820
Therefore, the GCF of Fractions 1869/190,5764/3780 is 1/71820
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 190,3780 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(190,3780) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(190,3780) x common factors =10 x 1 = 10
LCM(190,3780) = ( 190 × 3780 ) / 10
LCM(190,3780) = 718200 / 10
LCM(190,3780) = 71820
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1869,5764?
The HCF of 1869,5764 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 1869/190, 5764/3780?
Answer: GCF of Numerators as per given numbers 1869/190, 5764/3780 is
GCF of Numerators i.e. for 1869,5764 is 1
LCM of denominators i.e. for 190,3780 is 71820.
Thus, GCF of Fractions is 1/71820.Finally, GCF of Fractions for 1869/190, 5764/3780 is 1/71820.