Use our free GCF of Fractions Calculator tool to compute the GCF of 807/654, 352/508 i.e 1/166116 easily. The following is the detailed procedure to determine the greatest common factor of fractions 807/654, 352/508.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 807/654,352/508
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 807/654,352/508, numerators are 807,352
Denominators are 654,508
The GCF of 807,352 is 1 .
LCM of 654,508 is 166116.
The greatest common factor of 807/654,352/508 = [GCF of 807,352]/[LCM of 654,508]= 1/166116
Therefore, the GCF of 807/654,352/508 is 1/166116.
To find the highest common factor of 807,352, we have to find the factors of both numbers and list the highest common factor.
The factors of 807 are 1, 3, 269, 807
The factors of 352 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
The HCF of 807,352 is 1.
Lets's calculate GCF of 807,352
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 807
:1,3,269,807
Now, list down the factors of 352
:1,2,4,8,11,16,22,32,44,88,176,352
Greatest Common Factor
We found the factors 807,352 . The biggest common factor number is the GCF number.
So the greatest common factor 807,352 is 1.
Lets's calculate LCM of 654,508
2 | 654, 508 |
327, 254 |
∴ So the LCM of the given numbers is 2 x 327 x 254 = 166116
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/166116
Therefore, the GCF of Fractions 807/654,352/508 is 1/166116
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 654,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(654,508) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(654,508) x common factors =2 x 1 = 2
LCM(654,508) = ( 654 × 508 ) / 2
LCM(654,508) = 332232 / 2
LCM(654,508) = 166116
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 807,352?
The HCF of 807,352 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 807/654, 352/508?
Answer: GCF of Numerators as per given numbers 807/654, 352/508 is
GCF of Numerators i.e. for 807,352 is 1
LCM of denominators i.e. for 654,508 is 166116.
Thus, GCF of Fractions is 1/166116.Finally, GCF of Fractions for 807/654, 352/508 is 1/166116.