Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 962/482,666/905
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 962,666
Greatest Common Factor of Numerators i.e. GCF of 962,666 is 74 .
LCM of Denominators means LCM of 482,905 as per the given fractions.
LCM of 482,905 is 436210 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 962,666
2 | 962, 666 |
37 | 481, 333 |
13, 9 |
∴ So the GCF of the given numbers is 2 x 37 = 74
Factors of 962
List of positive integer factors of 962 that divides 962 without a remainder.
1,2,13,26,37,74,481,962
Factors of 666
List of positive integer factors of 666 that divides 666 without a remainder.
1,2,3,6,9,18,37,74,111,222,333,666
Greatest Common Factor
We found the factors 962,666 . The biggest common factor number is the GCF number.
So the greatest common factor 962,666 is 74.
Lets's calculate LCM of 482,905
Given numbers has no common factors except 1. So, there LCM is their product i.e 436210
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 74/436210
Therefore, the GCF of Fractions 962/482,666/905 is 74/436210
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 482,905 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(482,905) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(482,905) x common factors =1 x 1 = 1
LCM(482,905) = ( 482 × 905 ) / 1
LCM(482,905) = 436210 / 1
LCM(482,905) = 436210
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 962/482, 666/905?
Answer: GCF of Numerators as per given numbers 962/482, 666/905 is
GCF of Numerators i.e. for 962,666 is 74
LCM of denominators i.e. for 482,905 is 436210.
Thus, GCF of Fractions is 74/436210.Finally, GCF of Fractions for 962/482, 666/905 is 74/436210.