Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7802/129,8603/4720
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 7802,8603
Greatest Common Factor of Numerators i.e. GCF of 7802,8603 is 1 .
LCM of Denominators means LCM of 129,4720 as per the given fractions.
LCM of 129,4720 is 608880 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7802,8603
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7802
List of positive integer factors of 7802 that divides 7802 without a remainder.
1,2,47,83,94,166,3901,7802
Factors of 8603
List of positive integer factors of 8603 that divides 8603 without a remainder.
1,7,1229,8603
Greatest Common Factor
We found the factors 7802,8603 . The biggest common factor number is the GCF number.
So the greatest common factor 7802,8603 is 1.
Lets's calculate LCM of 129,4720
Given numbers has no common factors except 1. So, there LCM is their product i.e 608880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/608880
Therefore, the GCF of Fractions 7802/129,8603/4720 is 1/608880
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 129,4720 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(129,4720) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(129,4720) x common factors =1 x 1 = 1
LCM(129,4720) = ( 129 × 4720 ) / 1
LCM(129,4720) = 608880 / 1
LCM(129,4720) = 608880
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 7802/129, 8603/4720?
Answer: GCF of Numerators as per given numbers 7802/129, 8603/4720 is
GCF of Numerators i.e. for 7802,8603 is 1
LCM of denominators i.e. for 129,4720 is 608880.
Thus, GCF of Fractions is 1/608880.Finally, GCF of Fractions for 7802/129, 8603/4720 is 1/608880.