Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4385/59,4134/546
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 4385,4134
Greatest Common Factor of Numerators i.e. GCF of 4385,4134 is 1 .
LCM of Denominators means LCM of 59,546 as per the given fractions.
LCM of 59,546 is 32214 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4385,4134
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4385
List of positive integer factors of 4385 that divides 4385 without a remainder.
1,5,877,4385
Factors of 4134
List of positive integer factors of 4134 that divides 4134 without a remainder.
1,2,3,6,13,26,39,53,78,106,159,318,689,1378,2067,4134
Greatest Common Factor
We found the factors 4385,4134 . The biggest common factor number is the GCF number.
So the greatest common factor 4385,4134 is 1.
Lets's calculate LCM of 59,546
Given numbers has no common factors except 1. So, there LCM is their product i.e 32214
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32214
Therefore, the GCF of Fractions 4385/59,4134/546 is 1/32214
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 59,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,546) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,546) x common factors =1 x 1 = 1
LCM(59,546) = ( 59 × 546 ) / 1
LCM(59,546) = 32214 / 1
LCM(59,546) = 32214
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 4385/59, 4134/546?
Answer: GCF of Numerators as per given numbers 4385/59, 4134/546 is
GCF of Numerators i.e. for 4385,4134 is 1
LCM of denominators i.e. for 59,546 is 32214.
Thus, GCF of Fractions is 1/32214.Finally, GCF of Fractions for 4385/59, 4134/546 is 1/32214.