Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9556/525,6451/640
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 9556,6451
Greatest Common Factor of Numerators i.e. GCF of 9556,6451 is 1 .
LCM of Denominators means LCM of 525,640 as per the given fractions.
LCM of 525,640 is 67200 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9556,6451
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9556
List of positive integer factors of 9556 that divides 9556 without a remainder.
1,2,4,2389,4778,9556
Factors of 6451
List of positive integer factors of 6451 that divides 6451 without a remainder.
1,6451
Greatest Common Factor
We found the factors 9556,6451 . The biggest common factor number is the GCF number.
So the greatest common factor 9556,6451 is 1.
Lets's calculate LCM of 525,640
5 | 525, 640 |
105, 128 |
∴ So the LCM of the given numbers is 5 x 105 x 128 = 67200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67200
Therefore, the GCF of Fractions 9556/525,6451/640 is 1/67200
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 525,640 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(525,640) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(525,640) x common factors =5 x 1 = 5
LCM(525,640) = ( 525 × 640 ) / 5
LCM(525,640) = 336000 / 5
LCM(525,640) = 67200
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 9556/525, 6451/640?
Answer: GCF of Numerators as per given numbers 9556/525, 6451/640 is
GCF of Numerators i.e. for 9556,6451 is 1
LCM of denominators i.e. for 525,640 is 67200.
Thus, GCF of Fractions is 1/67200.Finally, GCF of Fractions for 9556/525, 6451/640 is 1/67200.