Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 763/329,4715/770
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 763,4715
Greatest Common Factor of Numerators i.e. GCF of 763,4715 is 1 .
LCM of Denominators means LCM of 329,770 as per the given fractions.
LCM of 329,770 is 36190 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 763,4715
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 763
List of positive integer factors of 763 that divides 763 without a remainder.
1,7,109,763
Factors of 4715
List of positive integer factors of 4715 that divides 4715 without a remainder.
1,5,23,41,115,205,943,4715
Greatest Common Factor
We found the factors 763,4715 . The biggest common factor number is the GCF number.
So the greatest common factor 763,4715 is 1.
Lets's calculate LCM of 329,770
7 | 329, 770 |
47, 110 |
∴ So the LCM of the given numbers is 7 x 47 x 110 = 36190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36190
Therefore, the GCF of Fractions 763/329,4715/770 is 1/36190
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 329,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(329,770) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(329,770) x common factors =7 x 1 = 7
LCM(329,770) = ( 329 × 770 ) / 7
LCM(329,770) = 253330 / 7
LCM(329,770) = 36190
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 763/329, 4715/770?
Answer: GCF of Numerators as per given numbers 763/329, 4715/770 is
GCF of Numerators i.e. for 763,4715 is 1
LCM of denominators i.e. for 329,770 is 36190.
Thus, GCF of Fractions is 1/36190.Finally, GCF of Fractions for 763/329, 4715/770 is 1/36190.