Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 97/558,142/685
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 97,142
Greatest Common Factor of Numerators i.e. GCF of 97,142 is 1 .
LCM of Denominators means LCM of 558,685 as per the given fractions.
LCM of 558,685 is 382230 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 97,142
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Factors of 142
List of positive integer factors of 142 that divides 142 without a remainder.
1,2,71,142
Greatest Common Factor
We found the factors 97,142 . The biggest common factor number is the GCF number.
So the greatest common factor 97,142 is 1.
Lets's calculate LCM of 558,685
Given numbers has no common factors except 1. So, there LCM is their product i.e 382230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/382230
Therefore, the GCF of Fractions 97/558,142/685 is 1/382230
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 558,685 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(558,685) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(558,685) x common factors =1 x 1 = 1
LCM(558,685) = ( 558 × 685 ) / 1
LCM(558,685) = 382230 / 1
LCM(558,685) = 382230
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 97/558, 142/685?
Answer: GCF of Numerators as per given numbers 97/558, 142/685 is
GCF of Numerators i.e. for 97,142 is 1
LCM of denominators i.e. for 558,685 is 382230.
Thus, GCF of Fractions is 1/382230.Finally, GCF of Fractions for 97/558, 142/685 is 1/382230.