Use our free GCF of Fractions Calculator tool to compute the GCF of 766/763, 221/109 i.e 1/763 easily. The following is the detailed procedure to determine the greatest common factor of fractions 766/763, 221/109.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 766/763,221/109
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 766/763,221/109, numerators are 766,221
Denominators are 763,109
The GCF of 766,221 is 1 .
LCM of 763,109 is 763.
The greatest common factor of 766/763,221/109 = [GCF of 766,221]/[LCM of 763,109]= 1/763
Therefore, the GCF of 766/763,221/109 is 1/763.
To find the highest common factor of 766,221, we have to find the factors of both numbers and list the highest common factor.
The factors of 766 are 1, 2, 383, 766
The factors of 221 are 1, 13, 17, 221
The HCF of 766,221 is 1.
Lets's calculate GCF of 766,221
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 766
:1,2,383,766
Now, list down the factors of 221
:1,13,17,221
Greatest Common Factor
We found the factors 766,221 . The biggest common factor number is the GCF number.
So the greatest common factor 766,221 is 1.
Lets's calculate LCM of 763,109
109 | 763, 109 |
7, 1 |
∴ So the LCM of the given numbers is 109 x 7 x 1 = 763
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/763
Therefore, the GCF of Fractions 766/763,221/109 is 1/763
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 763,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(763,109) = 109
common factors(in case of two or more numbers have common factors) = 1
GCF(763,109) x common factors =109 x 1 = 109
LCM(763,109) = ( 763 × 109 ) / 109
LCM(763,109) = 83167 / 109
LCM(763,109) = 763
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 766,221?
The HCF of 766,221 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 766/763, 221/109?
Answer: GCF of Numerators as per given numbers 766/763, 221/109 is
GCF of Numerators i.e. for 766,221 is 1
LCM of denominators i.e. for 763,109 is 763.
Thus, GCF of Fractions is 1/763.Finally, GCF of Fractions for 766/763, 221/109 is 1/763.