Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1012/660,7945/6155
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 1012,7945
Greatest Common Factor of Numerators i.e. GCF of 1012,7945 is 1 .
LCM of Denominators means LCM of 660,6155 as per the given fractions.
LCM of 660,6155 is 812460 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1012,7945
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1012
List of positive integer factors of 1012 that divides 1012 without a remainder.
1,2,4,11,22,23,44,46,92,253,506,1012
Factors of 7945
List of positive integer factors of 7945 that divides 7945 without a remainder.
1,5,7,35,227,1135,1589,7945
Greatest Common Factor
We found the factors 1012,7945 . The biggest common factor number is the GCF number.
So the greatest common factor 1012,7945 is 1.
Lets's calculate LCM of 660,6155
5 | 660, 6155 |
132, 1231 |
∴ So the LCM of the given numbers is 5 x 132 x 1231 = 812460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/812460
Therefore, the GCF of Fractions 1012/660,7945/6155 is 1/812460
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 660,6155 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(660,6155) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(660,6155) x common factors =5 x 1 = 5
LCM(660,6155) = ( 660 × 6155 ) / 5
LCM(660,6155) = 4062300 / 5
LCM(660,6155) = 812460
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 1012/660, 7945/6155?
Answer: GCF of Numerators as per given numbers 1012/660, 7945/6155 is
GCF of Numerators i.e. for 1012,7945 is 1
LCM of denominators i.e. for 660,6155 is 812460.
Thus, GCF of Fractions is 1/812460.Finally, GCF of Fractions for 1012/660, 7945/6155 is 1/812460.