GCF of 868/504, 1395/198
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 868/504, 1395/198 i.e 31/5544 easily. The following is the detailed procedure to determine the greatest common factor of fractions 868/504, 1395/198.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 868/504,1395/198?
Given fractions are 868/504,1395/198
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 868/504,1395/198, numerators are 868,1395
Denominators are 504,198
The GCF of 868,1395 is 31 .
LCM of 504,198 is 5544.
The greatest common factor of 868/504,1395/198 = [GCF of 868,1395]/[LCM of 504,198]= 31/5544
Therefore, the GCF of 868/504,1395/198 is 31/5544.
To find the highest common factor of 868,1395, we have to find the factors of both numbers and list the highest common factor.
The factors of 868 are 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
The factors of 1395 are 1, 3, 5, 9, 15, 31, 45, 93, 155, 279, 465, 1395
The HCF of 868,1395 is 31.
Lets's calculate GCF of 868,1395
| 31 | 868, 1395 |
| 28, 45 |
∴ So the GCF of the given numbers is 31 = 31
Greatest Common Factor of 868,1395 By Matching Biggest Common Factor Method
Now, list down the factors of 868
:1,2,4,7,14,28,31,62,124,217,434,868
Now, list down the factors of 1395
:1,3,5,9,15,31,45,93,155,279,465,1395
Greatest Common Factor
We found the factors 868,1395 . The biggest common factor number is the GCF number.
So the greatest common factor 868,1395 is 31.
Lets's calculate LCM of 504,198
| 2 | 504, 198 |
| 3 | 252, 99 |
| 3 | 84, 33 |
| 28, 11 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 28 x 11 = 5544
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/5544
Therefore, the GCF of Fractions 868/504,1395/198 is 31/5544
Least Common Multiple of 504,198 with GCF Formula
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 504,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(504,198) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(504,198) x common factors =18 x 1 = 18
LCM(504,198) = ( 504 × 198 ) / 18
LCM(504,198) = 99792 / 18
LCM(504,198) = 5544
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FAQs on GCF of Fractions of 868/504, 1395/198
1. What is the HCF of 868,1395?
The HCF of 868,1395 is 31
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 868/504, 1395/198?
Answer: GCF of Numerators as per given numbers 868/504, 1395/198 is
GCF of Numerators i.e. for 868,1395 is 31
LCM of denominators i.e. for 504,198 is 5544.
Thus, GCF of Fractions is 31/5544.Finally, GCF of Fractions for 868/504, 1395/198 is 31/5544.