Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 758/687,9261/7220
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 758,9261
Greatest Common Factor of Numerators i.e. GCF of 758,9261 is 1 .
LCM of Denominators means LCM of 687,7220 as per the given fractions.
LCM of 687,7220 is 4960140 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 758,9261
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 758
List of positive integer factors of 758 that divides 758 without a remainder.
1,2,379,758
Factors of 9261
List of positive integer factors of 9261 that divides 9261 without a remainder.
1,3,7,9,21,27,49,63,147,189,343,441,1029,1323,3087,9261
Greatest Common Factor
We found the factors 758,9261 . The biggest common factor number is the GCF number.
So the greatest common factor 758,9261 is 1.
Lets's calculate LCM of 687,7220
Given numbers has no common factors except 1. So, there LCM is their product i.e 4960140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4960140
Therefore, the GCF of Fractions 758/687,9261/7220 is 1/4960140
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 687,7220 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(687,7220) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(687,7220) x common factors =1 x 1 = 1
LCM(687,7220) = ( 687 × 7220 ) / 1
LCM(687,7220) = 4960140 / 1
LCM(687,7220) = 4960140
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 758/687, 9261/7220?
Answer: GCF of Numerators as per given numbers 758/687, 9261/7220 is
GCF of Numerators i.e. for 758,9261 is 1
LCM of denominators i.e. for 687,7220 is 4960140.
Thus, GCF of Fractions is 1/4960140.Finally, GCF of Fractions for 758/687, 9261/7220 is 1/4960140.