Use our free GCF of Fractions Calculator tool to compute the GCF of 702/195, 882/793 i.e 18/11895 easily. The following is the detailed procedure to determine the greatest common factor of fractions 702/195, 882/793.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 702/195,882/793
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 702/195,882/793, numerators are 702,882
Denominators are 195,793
The GCF of 702,882 is 18 .
LCM of 195,793 is 11895.
The greatest common factor of 702/195,882/793 = [GCF of 702,882]/[LCM of 195,793]= 18/11895
Therefore, the GCF of 702/195,882/793 is 18/11895.
To find the highest common factor of 702,882, we have to find the factors of both numbers and list the highest common factor.
The factors of 702 are 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
The factors of 882 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
The HCF of 702,882 is 18.
Lets's calculate GCF of 702,882
2 | 702, 882 |
3 | 351, 441 |
3 | 117, 147 |
39, 49 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Now, list down the factors of 702
:1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702
Now, list down the factors of 882
:1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882
Greatest Common Factor
We found the factors 702,882 . The biggest common factor number is the GCF number.
So the greatest common factor 702,882 is 18.
Lets's calculate LCM of 195,793
13 | 195, 793 |
15, 61 |
∴ So the LCM of the given numbers is 13 x 15 x 61 = 11895
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/11895
Therefore, the GCF of Fractions 702/195,882/793 is 18/11895
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 195,793 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(195,793) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(195,793) x common factors =13 x 1 = 13
LCM(195,793) = ( 195 × 793 ) / 13
LCM(195,793) = 154635 / 13
LCM(195,793) = 11895
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 702,882?
The HCF of 702,882 is 18
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 702/195, 882/793?
Answer: GCF of Numerators as per given numbers 702/195, 882/793 is
GCF of Numerators i.e. for 702,882 is 18
LCM of denominators i.e. for 195,793 is 11895.
Thus, GCF of Fractions is 18/11895.Finally, GCF of Fractions for 702/195, 882/793 is 18/11895.