Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2395/760,6570/8678
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 2395,6570
Greatest Common Factor of Numerators i.e. GCF of 2395,6570 is 5 .
LCM of Denominators means LCM of 760,8678 as per the given fractions.
LCM of 760,8678 is 3297640 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2395,6570
5 | 2395, 6570 |
479, 1314 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 2395
List of positive integer factors of 2395 that divides 2395 without a remainder.
1,5,479,2395
Factors of 6570
List of positive integer factors of 6570 that divides 6570 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,73,90,146,219,365,438,657,730,1095,1314,2190,3285,6570
Greatest Common Factor
We found the factors 2395,6570 . The biggest common factor number is the GCF number.
So the greatest common factor 2395,6570 is 5.
Lets's calculate LCM of 760,8678
2 | 760, 8678 |
380, 4339 |
∴ So the LCM of the given numbers is 2 x 380 x 4339 = 3297640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3297640
Therefore, the GCF of Fractions 2395/760,6570/8678 is 5/3297640
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 760,8678 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(760,8678) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(760,8678) x common factors =2 x 1 = 2
LCM(760,8678) = ( 760 × 8678 ) / 2
LCM(760,8678) = 6595280 / 2
LCM(760,8678) = 3297640
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 2395/760, 6570/8678?
Answer: GCF of Numerators as per given numbers 2395/760, 6570/8678 is
GCF of Numerators i.e. for 2395,6570 is 5
LCM of denominators i.e. for 760,8678 is 3297640.
Thus, GCF of Fractions is 5/3297640.Finally, GCF of Fractions for 2395/760, 6570/8678 is 5/3297640.