Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7975/351,1246/587
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 7975,1246
Greatest Common Factor of Numerators i.e. GCF of 7975,1246 is 1 .
LCM of Denominators means LCM of 351,587 as per the given fractions.
LCM of 351,587 is 206037 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7975,1246
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7975
List of positive integer factors of 7975 that divides 7975 without a remainder.
1,5,11,25,29,55,145,275,319,725,1595,7975
Factors of 1246
List of positive integer factors of 1246 that divides 1246 without a remainder.
1,2,7,14,89,178,623,1246
Greatest Common Factor
We found the factors 7975,1246 . The biggest common factor number is the GCF number.
So the greatest common factor 7975,1246 is 1.
Lets's calculate LCM of 351,587
Given numbers has no common factors except 1. So, there LCM is their product i.e 206037
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/206037
Therefore, the GCF of Fractions 7975/351,1246/587 is 1/206037
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 351,587 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(351,587) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(351,587) x common factors =1 x 1 = 1
LCM(351,587) = ( 351 × 587 ) / 1
LCM(351,587) = 206037 / 1
LCM(351,587) = 206037
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 7975/351, 1246/587?
Answer: GCF of Numerators as per given numbers 7975/351, 1246/587 is
GCF of Numerators i.e. for 7975,1246 is 1
LCM of denominators i.e. for 351,587 is 206037.
Thus, GCF of Fractions is 1/206037.Finally, GCF of Fractions for 7975/351, 1246/587 is 1/206037.