Use our free GCF of Fractions Calculator tool to compute the GCF of 117/581, 798/159 i.e 3/92379 easily. The following is the detailed procedure to determine the greatest common factor of fractions 117/581, 798/159.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 117/581,798/159
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 117/581,798/159, numerators are 117,798
Denominators are 581,159
The GCF of 117,798 is 3 .
LCM of 581,159 is 92379.
The greatest common factor of 117/581,798/159 = [GCF of 117,798]/[LCM of 581,159]= 3/92379
Therefore, the GCF of 117/581,798/159 is 3/92379.
To find the highest common factor of 117,798, we have to find the factors of both numbers and list the highest common factor.
The factors of 117 are 1, 3, 9, 13, 39, 117
The factors of 798 are 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
The HCF of 117,798 is 3.
Lets's calculate GCF of 117,798
3 | 117, 798 |
39, 266 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 117
:1,3,9,13,39,117
Now, list down the factors of 798
:1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798
Greatest Common Factor
We found the factors 117,798 . The biggest common factor number is the GCF number.
So the greatest common factor 117,798 is 3.
Lets's calculate LCM of 581,159
Given numbers has no common factors except 1. So, there LCM is their product i.e 92379
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/92379
Therefore, the GCF of Fractions 117/581,798/159 is 3/92379
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 581,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(581,159) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(581,159) x common factors =1 x 1 = 1
LCM(581,159) = ( 581 × 159 ) / 1
LCM(581,159) = 92379 / 1
LCM(581,159) = 92379
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 117,798?
The HCF of 117,798 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 117/581, 798/159?
Answer: GCF of Numerators as per given numbers 117/581, 798/159 is
GCF of Numerators i.e. for 117,798 is 3
LCM of denominators i.e. for 581,159 is 92379.
Thus, GCF of Fractions is 3/92379.Finally, GCF of Fractions for 117/581, 798/159 is 3/92379.