Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 903/888,917/748,623/693
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 903,917,623
Greatest Common Factor of Numerators i.e. GCF of 903,917,623 is 7 .
LCM of Denominators means LCM of 888,748,693 as per the given fractions.
LCM of 888,748,693 is 3487176 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 903,917,623
7 | 903, 917, 623 |
129, 131, 89 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 903
List of positive integer factors of 903 that divides 903 without a remainder.
1,3,7,21,43,129,301,903
Factors of 917
List of positive integer factors of 917 that divides 917 without a remainder.
1,7,131,917
Factors of 623
List of positive integer factors of 623 that divides 623 without a remainder.
1,7,89,623
Greatest Common Factor
We found the factors 903,917,623 . The biggest common factor number is the GCF number.
So the greatest common factor 903,917,623 is 7.
Lets's calculate LCM of 888,748,693
2 | 888, 748, 693 |
2 | 444, 374, 693 |
3 | 222, 187, 693 |
11 | 74, 187, 231 |
74, 17, 21 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 74 x 17 x 21 = 3487176
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/3487176
Therefore, the GCF of Fractions 903/888,917/748,623/693 is 7/3487176
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 888,748,693 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(888,748,693) = 1
common factors(in case of two or more numbers have common factors) = 132
GCF(888,748,693) x common factors =1 x 132 = 132
LCM(888,748,693) = ( 888 × 748 × 693 ) / 132
LCM(888,748,693) = 460307232 / 132
LCM(888,748,693) = 3487176
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 903/888, 917/748, 623/693?
Answer: GCF of Numerators as per given numbers 903/888, 917/748, 623/693 is
GCF of Numerators i.e. for 903,917,623 is 7
LCM of denominators i.e. for 888,748,693 is 3487176.
Thus, GCF of Fractions is 7/3487176.Finally, GCF of Fractions for 903/888, 917/748, 623/693 is 7/3487176.