Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7155/245,4345/3134
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 7155,4345
Greatest Common Factor of Numerators i.e. GCF of 7155,4345 is 5 .
LCM of Denominators means LCM of 245,3134 as per the given fractions.
LCM of 245,3134 is 767830 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7155,4345
5 | 7155, 4345 |
1431, 869 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 7155
List of positive integer factors of 7155 that divides 7155 without a remainder.
1,3,5,9,15,27,45,53,135,159,265,477,795,1431,2385,7155
Factors of 4345
List of positive integer factors of 4345 that divides 4345 without a remainder.
1,5,11,55,79,395,869,4345
Greatest Common Factor
We found the factors 7155,4345 . The biggest common factor number is the GCF number.
So the greatest common factor 7155,4345 is 5.
Lets's calculate LCM of 245,3134
Given numbers has no common factors except 1. So, there LCM is their product i.e 767830
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/767830
Therefore, the GCF of Fractions 7155/245,4345/3134 is 5/767830
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 245,3134 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(245,3134) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(245,3134) x common factors =1 x 1 = 1
LCM(245,3134) = ( 245 × 3134 ) / 1
LCM(245,3134) = 767830 / 1
LCM(245,3134) = 767830
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 7155/245, 4345/3134?
Answer: GCF of Numerators as per given numbers 7155/245, 4345/3134 is
GCF of Numerators i.e. for 7155,4345 is 5
LCM of denominators i.e. for 245,3134 is 767830.
Thus, GCF of Fractions is 5/767830.Finally, GCF of Fractions for 7155/245, 4345/3134 is 5/767830.