Use our free GCF of Fractions Calculator tool to compute the GCF of 454/212, 807/262 i.e 1/27772 easily. The following is the detailed procedure to determine the greatest common factor of fractions 454/212, 807/262.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 454/212,807/262
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 454/212,807/262, numerators are 454,807
Denominators are 212,262
The GCF of 454,807 is 1 .
LCM of 212,262 is 27772.
The greatest common factor of 454/212,807/262 = [GCF of 454,807]/[LCM of 212,262]= 1/27772
Therefore, the GCF of 454/212,807/262 is 1/27772.
To find the highest common factor of 454,807, we have to find the factors of both numbers and list the highest common factor.
The factors of 454 are 1, 2, 227, 454
The factors of 807 are 1, 3, 269, 807
The HCF of 454,807 is 1.
Lets's calculate GCF of 454,807
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 454
:1,2,227,454
Now, list down the factors of 807
:1,3,269,807
Greatest Common Factor
We found the factors 454,807 . The biggest common factor number is the GCF number.
So the greatest common factor 454,807 is 1.
Lets's calculate LCM of 212,262
2 | 212, 262 |
106, 131 |
∴ So the LCM of the given numbers is 2 x 106 x 131 = 27772
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27772
Therefore, the GCF of Fractions 454/212,807/262 is 1/27772
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 212,262 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(212,262) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(212,262) x common factors =2 x 1 = 2
LCM(212,262) = ( 212 × 262 ) / 2
LCM(212,262) = 55544 / 2
LCM(212,262) = 27772
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 454,807?
The HCF of 454,807 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 454/212, 807/262?
Answer: GCF of Numerators as per given numbers 454/212, 807/262 is
GCF of Numerators i.e. for 454,807 is 1
LCM of denominators i.e. for 212,262 is 27772.
Thus, GCF of Fractions is 1/27772.Finally, GCF of Fractions for 454/212, 807/262 is 1/27772.