Use our free GCF of Fractions Calculator tool to compute the GCF of 763/140, 460/719 i.e 1/100660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 763/140, 460/719.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 763/140,460/719
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 763/140,460/719, numerators are 763,460
Denominators are 140,719
The GCF of 763,460 is 1 .
LCM of 140,719 is 100660.
The greatest common factor of 763/140,460/719 = [GCF of 763,460]/[LCM of 140,719]= 1/100660
Therefore, the GCF of 763/140,460/719 is 1/100660.
To find the highest common factor of 763,460, we have to find the factors of both numbers and list the highest common factor.
The factors of 763 are 1, 7, 109, 763
The factors of 460 are 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
The HCF of 763,460 is 1.
Lets's calculate GCF of 763,460
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 763
:1,7,109,763
Now, list down the factors of 460
:1,2,4,5,10,20,23,46,92,115,230,460
Greatest Common Factor
We found the factors 763,460 . The biggest common factor number is the GCF number.
So the greatest common factor 763,460 is 1.
Lets's calculate LCM of 140,719
Given numbers has no common factors except 1. So, there LCM is their product i.e 100660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/100660
Therefore, the GCF of Fractions 763/140,460/719 is 1/100660
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 140,719 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(140,719) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(140,719) x common factors =1 x 1 = 1
LCM(140,719) = ( 140 × 719 ) / 1
LCM(140,719) = 100660 / 1
LCM(140,719) = 100660
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 763,460?
The HCF of 763,460 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 763/140, 460/719?
Answer: GCF of Numerators as per given numbers 763/140, 460/719 is
GCF of Numerators i.e. for 763,460 is 1
LCM of denominators i.e. for 140,719 is 100660.
Thus, GCF of Fractions is 1/100660.Finally, GCF of Fractions for 763/140, 460/719 is 1/100660.