Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 907/989,639/554,965/545
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 907,639,965
Greatest Common Factor of Numerators i.e. GCF of 907,639,965 is 1 .
LCM of Denominators means LCM of 989,554,545 as per the given fractions.
LCM of 989,554,545 is 298608770 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 907,639,965
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 907
List of positive integer factors of 907 that divides 907 without a remainder.
1,907
Factors of 639
List of positive integer factors of 639 that divides 639 without a remainder.
1,3,9,71,213,639
Factors of 965
List of positive integer factors of 965 that divides 965 without a remainder.
1,5,193,965
Greatest Common Factor
We found the factors 907,639,965 . The biggest common factor number is the GCF number.
So the greatest common factor 907,639,965 is 1.
Lets's calculate LCM of 989,554,545
Given numbers has no common factors except 1. So, there LCM is their product i.e 298608770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/298608770
Therefore, the GCF of Fractions 907/989,639/554,965/545 is 1/298608770
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 989,554,545 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(989,554,545) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(989,554,545) x common factors =1 x 1 = 1
LCM(989,554,545) = ( 989 × 554 × 545 ) / 1
LCM(989,554,545) = 298608770 / 1
LCM(989,554,545) = 298608770
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 907/989, 639/554, 965/545?
Answer: GCF of Numerators as per given numbers 907/989, 639/554, 965/545 is
GCF of Numerators i.e. for 907,639,965 is 1
LCM of denominators i.e. for 989,554,545 is 298608770.
Thus, GCF of Fractions is 1/298608770.Finally, GCF of Fractions for 907/989, 639/554, 965/545 is 1/298608770.