Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 977/89,6685/210
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 977,6685
Greatest Common Factor of Numerators i.e. GCF of 977,6685 is 1 .
LCM of Denominators means LCM of 89,210 as per the given fractions.
LCM of 89,210 is 18690 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 977,6685
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 977
List of positive integer factors of 977 that divides 977 without a remainder.
1,977
Factors of 6685
List of positive integer factors of 6685 that divides 6685 without a remainder.
1,5,7,35,191,955,1337,6685
Greatest Common Factor
We found the factors 977,6685 . The biggest common factor number is the GCF number.
So the greatest common factor 977,6685 is 1.
Lets's calculate LCM of 89,210
Given numbers has no common factors except 1. So, there LCM is their product i.e 18690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18690
Therefore, the GCF of Fractions 977/89,6685/210 is 1/18690
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 89,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,210) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,210) x common factors =1 x 1 = 1
LCM(89,210) = ( 89 × 210 ) / 1
LCM(89,210) = 18690 / 1
LCM(89,210) = 18690
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 977/89, 6685/210?
Answer: GCF of Numerators as per given numbers 977/89, 6685/210 is
GCF of Numerators i.e. for 977,6685 is 1
LCM of denominators i.e. for 89,210 is 18690.
Thus, GCF of Fractions is 1/18690.Finally, GCF of Fractions for 977/89, 6685/210 is 1/18690.