Use our free GCF of Fractions Calculator tool to compute the GCF of 654/235, 454/937 i.e 2/220195 easily. The following is the detailed procedure to determine the greatest common factor of fractions 654/235, 454/937.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 654/235,454/937
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 654/235,454/937, numerators are 654,454
Denominators are 235,937
The GCF of 654,454 is 2 .
LCM of 235,937 is 220195.
The greatest common factor of 654/235,454/937 = [GCF of 654,454]/[LCM of 235,937]= 2/220195
Therefore, the GCF of 654/235,454/937 is 2/220195.
To find the highest common factor of 654,454, we have to find the factors of both numbers and list the highest common factor.
The factors of 654 are 1, 2, 3, 6, 109, 218, 327, 654
The factors of 454 are 1, 2, 227, 454
The HCF of 654,454 is 2.
Lets's calculate GCF of 654,454
2 | 654, 454 |
327, 227 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 654
:1,2,3,6,109,218,327,654
Now, list down the factors of 454
:1,2,227,454
Greatest Common Factor
We found the factors 654,454 . The biggest common factor number is the GCF number.
So the greatest common factor 654,454 is 2.
Lets's calculate LCM of 235,937
Given numbers has no common factors except 1. So, there LCM is their product i.e 220195
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/220195
Therefore, the GCF of Fractions 654/235,454/937 is 2/220195
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 235,937 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(235,937) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(235,937) x common factors =1 x 1 = 1
LCM(235,937) = ( 235 × 937 ) / 1
LCM(235,937) = 220195 / 1
LCM(235,937) = 220195
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 654,454?
The HCF of 654,454 is 2
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 654/235, 454/937?
Answer: GCF of Numerators as per given numbers 654/235, 454/937 is
GCF of Numerators i.e. for 654,454 is 2
LCM of denominators i.e. for 235,937 is 220195.
Thus, GCF of Fractions is 2/220195.Finally, GCF of Fractions for 654/235, 454/937 is 2/220195.