Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6070/536,7745/5445
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 6070,7745
Greatest Common Factor of Numerators i.e. GCF of 6070,7745 is 5 .
LCM of Denominators means LCM of 536,5445 as per the given fractions.
LCM of 536,5445 is 2918520 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6070,7745
5 | 6070, 7745 |
1214, 1549 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 6070
List of positive integer factors of 6070 that divides 6070 without a remainder.
1,2,5,10,607,1214,3035,6070
Factors of 7745
List of positive integer factors of 7745 that divides 7745 without a remainder.
1,5,1549,7745
Greatest Common Factor
We found the factors 6070,7745 . The biggest common factor number is the GCF number.
So the greatest common factor 6070,7745 is 5.
Lets's calculate LCM of 536,5445
Given numbers has no common factors except 1. So, there LCM is their product i.e 2918520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2918520
Therefore, the GCF of Fractions 6070/536,7745/5445 is 5/2918520
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 536,5445 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(536,5445) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(536,5445) x common factors =1 x 1 = 1
LCM(536,5445) = ( 536 × 5445 ) / 1
LCM(536,5445) = 2918520 / 1
LCM(536,5445) = 2918520
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 6070/536, 7745/5445?
Answer: GCF of Numerators as per given numbers 6070/536, 7745/5445 is
GCF of Numerators i.e. for 6070,7745 is 5
LCM of denominators i.e. for 536,5445 is 2918520.
Thus, GCF of Fractions is 5/2918520.Finally, GCF of Fractions for 6070/536, 7745/5445 is 5/2918520.