Use our free GCF of Fractions Calculator tool to compute the GCF of 645/952, 156/901 i.e 3/50456 easily. The following is the detailed procedure to determine the greatest common factor of fractions 645/952, 156/901.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 645/952,156/901
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 645/952,156/901, numerators are 645,156
Denominators are 952,901
The GCF of 645,156 is 3 .
LCM of 952,901 is 50456.
The greatest common factor of 645/952,156/901 = [GCF of 645,156]/[LCM of 952,901]= 3/50456
Therefore, the GCF of 645/952,156/901 is 3/50456.
To find the highest common factor of 645,156, we have to find the factors of both numbers and list the highest common factor.
The factors of 645 are 1, 3, 5, 15, 43, 129, 215, 645
The factors of 156 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
The HCF of 645,156 is 3.
Lets's calculate GCF of 645,156
3 | 645, 156 |
215, 52 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 645
:1,3,5,15,43,129,215,645
Now, list down the factors of 156
:1,2,3,4,6,12,13,26,39,52,78,156
Greatest Common Factor
We found the factors 645,156 . The biggest common factor number is the GCF number.
So the greatest common factor 645,156 is 3.
Lets's calculate LCM of 952,901
17 | 952, 901 |
56, 53 |
∴ So the LCM of the given numbers is 17 x 56 x 53 = 50456
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/50456
Therefore, the GCF of Fractions 645/952,156/901 is 3/50456
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 952,901 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(952,901) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(952,901) x common factors =17 x 1 = 17
LCM(952,901) = ( 952 × 901 ) / 17
LCM(952,901) = 857752 / 17
LCM(952,901) = 50456
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 645,156?
The HCF of 645,156 is 3
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 645/952, 156/901?
Answer: GCF of Numerators as per given numbers 645/952, 156/901 is
GCF of Numerators i.e. for 645,156 is 3
LCM of denominators i.e. for 952,901 is 50456.
Thus, GCF of Fractions is 3/50456.Finally, GCF of Fractions for 645/952, 156/901 is 3/50456.