Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8551/364,9757/4319
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 8551,9757
Greatest Common Factor of Numerators i.e. GCF of 8551,9757 is 1 .
LCM of Denominators means LCM of 364,4319 as per the given fractions.
LCM of 364,4319 is 224588 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8551,9757
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8551
List of positive integer factors of 8551 that divides 8551 without a remainder.
1,17,503,8551
Factors of 9757
List of positive integer factors of 9757 that divides 9757 without a remainder.
1,11,887,9757
Greatest Common Factor
We found the factors 8551,9757 . The biggest common factor number is the GCF number.
So the greatest common factor 8551,9757 is 1.
Lets's calculate LCM of 364,4319
7 | 364, 4319 |
52, 617 |
∴ So the LCM of the given numbers is 7 x 52 x 617 = 224588
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/224588
Therefore, the GCF of Fractions 8551/364,9757/4319 is 1/224588
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 364,4319 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(364,4319) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(364,4319) x common factors =7 x 1 = 7
LCM(364,4319) = ( 364 × 4319 ) / 7
LCM(364,4319) = 1572116 / 7
LCM(364,4319) = 224588
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 8551/364, 9757/4319?
Answer: GCF of Numerators as per given numbers 8551/364, 9757/4319 is
GCF of Numerators i.e. for 8551,9757 is 1
LCM of denominators i.e. for 364,4319 is 224588.
Thus, GCF of Fractions is 1/224588.Finally, GCF of Fractions for 8551/364, 9757/4319 is 1/224588.