Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 756/21,988/65,894/375
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 756,988,894
Greatest Common Factor of Numerators i.e. GCF of 756,988,894 is 2 .
LCM of Denominators means LCM of 21,65,375 as per the given fractions.
LCM of 21,65,375 is 34125 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 756,988,894
2 | 756, 988, 894 |
378, 494, 447 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 756
List of positive integer factors of 756 that divides 756 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756
Factors of 988
List of positive integer factors of 988 that divides 988 without a remainder.
1,2,4,13,19,26,38,52,76,247,494,988
Factors of 894
List of positive integer factors of 894 that divides 894 without a remainder.
1,2,3,6,149,298,447,894
Greatest Common Factor
We found the factors 756,988,894 . The biggest common factor number is the GCF number.
So the greatest common factor 756,988,894 is 2.
Lets's calculate LCM of 21,65,375
3 | 21, 65, 375 |
5 | 7, 65, 125 |
7, 13, 25 |
∴ So the LCM of the given numbers is 3 x 5 x 7 x 13 x 25 = 34125
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/34125
Therefore, the GCF of Fractions 756/21,988/65,894/375 is 2/34125
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 21,65,375 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,65,375) = 1
common factors(in case of two or more numbers have common factors) = 15
GCF(21,65,375) x common factors =1 x 15 = 15
LCM(21,65,375) = ( 21 × 65 × 375 ) / 15
LCM(21,65,375) = 511875 / 15
LCM(21,65,375) = 34125
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 756/21, 988/65, 894/375?
Answer: GCF of Numerators as per given numbers 756/21, 988/65, 894/375 is
GCF of Numerators i.e. for 756,988,894 is 2
LCM of denominators i.e. for 21,65,375 is 34125.
Thus, GCF of Fractions is 2/34125.Finally, GCF of Fractions for 756/21, 988/65, 894/375 is 2/34125.