Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 852/625,992/633,754/694
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 852,992,754
Greatest Common Factor of Numerators i.e. GCF of 852,992,754 is 2 .
LCM of Denominators means LCM of 625,633,694 as per the given fractions.
LCM of 625,633,694 is 274563750 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 852,992,754
2 | 852, 992, 754 |
426, 496, 377 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 852
List of positive integer factors of 852 that divides 852 without a remainder.
1,2,3,4,6,12,71,142,213,284,426,852
Factors of 992
List of positive integer factors of 992 that divides 992 without a remainder.
1,2,4,8,16,31,32,62,124,248,496,992
Factors of 754
List of positive integer factors of 754 that divides 754 without a remainder.
1,2,13,26,29,58,377,754
Greatest Common Factor
We found the factors 852,992,754 . The biggest common factor number is the GCF number.
So the greatest common factor 852,992,754 is 2.
Lets's calculate LCM of 625,633,694
Given numbers has no common factors except 1. So, there LCM is their product i.e 274563750
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/274563750
Therefore, the GCF of Fractions 852/625,992/633,754/694 is 2/274563750
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 625,633,694 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(625,633,694) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(625,633,694) x common factors =1 x 1 = 1
LCM(625,633,694) = ( 625 × 633 × 694 ) / 1
LCM(625,633,694) = 274563750 / 1
LCM(625,633,694) = 274563750
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 852/625, 992/633, 754/694?
Answer: GCF of Numerators as per given numbers 852/625, 992/633, 754/694 is
GCF of Numerators i.e. for 852,992,754 is 2
LCM of denominators i.e. for 625,633,694 is 274563750.
Thus, GCF of Fractions is 2/274563750.Finally, GCF of Fractions for 852/625, 992/633, 754/694 is 2/274563750.