Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7255/782,4624/8759
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 7255,4624
Greatest Common Factor of Numerators i.e. GCF of 7255,4624 is 1 .
LCM of Denominators means LCM of 782,8759 as per the given fractions.
LCM of 782,8759 is 6849538 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7255,4624
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7255
List of positive integer factors of 7255 that divides 7255 without a remainder.
1,5,1451,7255
Factors of 4624
List of positive integer factors of 4624 that divides 4624 without a remainder.
1,2,4,8,16,17,34,68,136,272,289,578,1156,2312,4624
Greatest Common Factor
We found the factors 7255,4624 . The biggest common factor number is the GCF number.
So the greatest common factor 7255,4624 is 1.
Lets's calculate LCM of 782,8759
Given numbers has no common factors except 1. So, there LCM is their product i.e 6849538
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6849538
Therefore, the GCF of Fractions 7255/782,4624/8759 is 1/6849538
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 782,8759 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(782,8759) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(782,8759) x common factors =1 x 1 = 1
LCM(782,8759) = ( 782 × 8759 ) / 1
LCM(782,8759) = 6849538 / 1
LCM(782,8759) = 6849538
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 7255/782, 4624/8759?
Answer: GCF of Numerators as per given numbers 7255/782, 4624/8759 is
GCF of Numerators i.e. for 7255,4624 is 1
LCM of denominators i.e. for 782,8759 is 6849538.
Thus, GCF of Fractions is 1/6849538.Finally, GCF of Fractions for 7255/782, 4624/8759 is 1/6849538.