Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 635/845,3412/3280
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 635,3412
Greatest Common Factor of Numerators i.e. GCF of 635,3412 is 1 .
LCM of Denominators means LCM of 845,3280 as per the given fractions.
LCM of 845,3280 is 554320 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 635,3412
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 635
List of positive integer factors of 635 that divides 635 without a remainder.
1,5,127,635
Factors of 3412
List of positive integer factors of 3412 that divides 3412 without a remainder.
1,2,4,853,1706,3412
Greatest Common Factor
We found the factors 635,3412 . The biggest common factor number is the GCF number.
So the greatest common factor 635,3412 is 1.
Lets's calculate LCM of 845,3280
5 | 845, 3280 |
169, 656 |
∴ So the LCM of the given numbers is 5 x 169 x 656 = 554320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/554320
Therefore, the GCF of Fractions 635/845,3412/3280 is 1/554320
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 845,3280 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(845,3280) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(845,3280) x common factors =5 x 1 = 5
LCM(845,3280) = ( 845 × 3280 ) / 5
LCM(845,3280) = 2771600 / 5
LCM(845,3280) = 554320
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 635/845, 3412/3280?
Answer: GCF of Numerators as per given numbers 635/845, 3412/3280 is
GCF of Numerators i.e. for 635,3412 is 1
LCM of denominators i.e. for 845,3280 is 554320.
Thus, GCF of Fractions is 1/554320.Finally, GCF of Fractions for 635/845, 3412/3280 is 1/554320.