Use our free GCF of Fractions Calculator tool to compute the GCF of 928/802, 917/302 i.e 1/121102 easily. The following is the detailed procedure to determine the greatest common factor of fractions 928/802, 917/302.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 928/802,917/302
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 928/802,917/302, numerators are 928,917
Denominators are 802,302
The GCF of 928,917 is 1 .
LCM of 802,302 is 121102.
The greatest common factor of 928/802,917/302 = [GCF of 928,917]/[LCM of 802,302]= 1/121102
Therefore, the GCF of 928/802,917/302 is 1/121102.
To find the highest common factor of 928,917, we have to find the factors of both numbers and list the highest common factor.
The factors of 928 are 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
The factors of 917 are 1, 7, 131, 917
The HCF of 928,917 is 1.
Lets's calculate GCF of 928,917
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 928
:1,2,4,8,16,29,32,58,116,232,464,928
Now, list down the factors of 917
:1,7,131,917
Greatest Common Factor
We found the factors 928,917 . The biggest common factor number is the GCF number.
So the greatest common factor 928,917 is 1.
Lets's calculate LCM of 802,302
2 | 802, 302 |
401, 151 |
∴ So the LCM of the given numbers is 2 x 401 x 151 = 121102
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/121102
Therefore, the GCF of Fractions 928/802,917/302 is 1/121102
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 802,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(802,302) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(802,302) x common factors =2 x 1 = 2
LCM(802,302) = ( 802 × 302 ) / 2
LCM(802,302) = 242204 / 2
LCM(802,302) = 121102
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 928,917?
The HCF of 928,917 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 928/802, 917/302?
Answer: GCF of Numerators as per given numbers 928/802, 917/302 is
GCF of Numerators i.e. for 928,917 is 1
LCM of denominators i.e. for 802,302 is 121102.
Thus, GCF of Fractions is 1/121102.Finally, GCF of Fractions for 928/802, 917/302 is 1/121102.