Use our free GCF of Fractions Calculator tool to compute the GCF of 371/586, 473/776 i.e 1/227368 easily. The following is the detailed procedure to determine the greatest common factor of fractions 371/586, 473/776.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 371/586,473/776
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 371/586,473/776, numerators are 371,473
Denominators are 586,776
The GCF of 371,473 is 1 .
LCM of 586,776 is 227368.
The greatest common factor of 371/586,473/776 = [GCF of 371,473]/[LCM of 586,776]= 1/227368
Therefore, the GCF of 371/586,473/776 is 1/227368.
To find the highest common factor of 371,473, we have to find the factors of both numbers and list the highest common factor.
The factors of 371 are 1, 7, 53, 371
The factors of 473 are 1, 11, 43, 473
The HCF of 371,473 is 1.
Lets's calculate GCF of 371,473
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 371
:1,7,53,371
Now, list down the factors of 473
:1,11,43,473
Greatest Common Factor
We found the factors 371,473 . The biggest common factor number is the GCF number.
So the greatest common factor 371,473 is 1.
Lets's calculate LCM of 586,776
2 | 586, 776 |
293, 388 |
∴ So the LCM of the given numbers is 2 x 293 x 388 = 227368
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/227368
Therefore, the GCF of Fractions 371/586,473/776 is 1/227368
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 586,776 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(586,776) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(586,776) x common factors =2 x 1 = 2
LCM(586,776) = ( 586 × 776 ) / 2
LCM(586,776) = 454736 / 2
LCM(586,776) = 227368
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 371,473?
The HCF of 371,473 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 371/586, 473/776?
Answer: GCF of Numerators as per given numbers 371/586, 473/776 is
GCF of Numerators i.e. for 371,473 is 1
LCM of denominators i.e. for 586,776 is 227368.
Thus, GCF of Fractions is 1/227368.Finally, GCF of Fractions for 371/586, 473/776 is 1/227368.