Use our free GCF of Fractions Calculator tool to compute the GCF of 227/774, 498/830 i.e 1/321210 easily. The following is the detailed procedure to determine the greatest common factor of fractions 227/774, 498/830.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 227/774,498/830
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 227/774,498/830, numerators are 227,498
Denominators are 774,830
The GCF of 227,498 is 1 .
LCM of 774,830 is 321210.
The greatest common factor of 227/774,498/830 = [GCF of 227,498]/[LCM of 774,830]= 1/321210
Therefore, the GCF of 227/774,498/830 is 1/321210.
To find the highest common factor of 227,498, we have to find the factors of both numbers and list the highest common factor.
The factors of 227 are 1, 227
The factors of 498 are 1, 2, 3, 6, 83, 166, 249, 498
The HCF of 227,498 is 1.
Lets's calculate GCF of 227,498
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 227
:1,227
Now, list down the factors of 498
:1,2,3,6,83,166,249,498
Greatest Common Factor
We found the factors 227,498 . The biggest common factor number is the GCF number.
So the greatest common factor 227,498 is 1.
Lets's calculate LCM of 774,830
2 | 774, 830 |
387, 415 |
∴ So the LCM of the given numbers is 2 x 387 x 415 = 321210
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/321210
Therefore, the GCF of Fractions 227/774,498/830 is 1/321210
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 774,830 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(774,830) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(774,830) x common factors =2 x 1 = 2
LCM(774,830) = ( 774 × 830 ) / 2
LCM(774,830) = 642420 / 2
LCM(774,830) = 321210
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 227,498?
The HCF of 227,498 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 227/774, 498/830?
Answer: GCF of Numerators as per given numbers 227/774, 498/830 is
GCF of Numerators i.e. for 227,498 is 1
LCM of denominators i.e. for 774,830 is 321210.
Thus, GCF of Fractions is 1/321210.Finally, GCF of Fractions for 227/774, 498/830 is 1/321210.