Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4602/940,7939/6282
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 4602,7939
Greatest Common Factor of Numerators i.e. GCF of 4602,7939 is 1 .
LCM of Denominators means LCM of 940,6282 as per the given fractions.
LCM of 940,6282 is 2952540 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4602,7939
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4602
List of positive integer factors of 4602 that divides 4602 without a remainder.
1,2,3,6,13,26,39,59,78,118,177,354,767,1534,2301,4602
Factors of 7939
List of positive integer factors of 7939 that divides 7939 without a remainder.
1,17,467,7939
Greatest Common Factor
We found the factors 4602,7939 . The biggest common factor number is the GCF number.
So the greatest common factor 4602,7939 is 1.
Lets's calculate LCM of 940,6282
2 | 940, 6282 |
470, 3141 |
∴ So the LCM of the given numbers is 2 x 470 x 3141 = 2952540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2952540
Therefore, the GCF of Fractions 4602/940,7939/6282 is 1/2952540
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 940,6282 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(940,6282) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(940,6282) x common factors =2 x 1 = 2
LCM(940,6282) = ( 940 × 6282 ) / 2
LCM(940,6282) = 5905080 / 2
LCM(940,6282) = 2952540
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 4602/940, 7939/6282?
Answer: GCF of Numerators as per given numbers 4602/940, 7939/6282 is
GCF of Numerators i.e. for 4602,7939 is 1
LCM of denominators i.e. for 940,6282 is 2952540.
Thus, GCF of Fractions is 1/2952540.Finally, GCF of Fractions for 4602/940, 7939/6282 is 1/2952540.