Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 740/917,651/311
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 740,651
Greatest Common Factor of Numerators i.e. GCF of 740,651 is 1 .
LCM of Denominators means LCM of 917,311 as per the given fractions.
LCM of 917,311 is 285187 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 740,651
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 740
List of positive integer factors of 740 that divides 740 without a remainder.
1,2,4,5,10,20,37,74,148,185,370,740
Factors of 651
List of positive integer factors of 651 that divides 651 without a remainder.
1,3,7,21,31,93,217,651
Greatest Common Factor
We found the factors 740,651 . The biggest common factor number is the GCF number.
So the greatest common factor 740,651 is 1.
Lets's calculate LCM of 917,311
Given numbers has no common factors except 1. So, there LCM is their product i.e 285187
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/285187
Therefore, the GCF of Fractions 740/917,651/311 is 1/285187
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 917,311 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(917,311) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(917,311) x common factors =1 x 1 = 1
LCM(917,311) = ( 917 × 311 ) / 1
LCM(917,311) = 285187 / 1
LCM(917,311) = 285187
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 740/917, 651/311?
Answer: GCF of Numerators as per given numbers 740/917, 651/311 is
GCF of Numerators i.e. for 740,651 is 1
LCM of denominators i.e. for 917,311 is 285187.
Thus, GCF of Fractions is 1/285187.Finally, GCF of Fractions for 740/917, 651/311 is 1/285187.