Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7500/77,3222/675
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 7500,3222
Greatest Common Factor of Numerators i.e. GCF of 7500,3222 is 6 .
LCM of Denominators means LCM of 77,675 as per the given fractions.
LCM of 77,675 is 51975 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7500,3222
2 | 7500, 3222 |
3 | 3750, 1611 |
1250, 537 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 7500
List of positive integer factors of 7500 that divides 7500 without a remainder.
1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,125,150,250,300,375,500,625,750,1250,1500,1875,2500,3750,7500
Factors of 3222
List of positive integer factors of 3222 that divides 3222 without a remainder.
1,2,3,6,9,18,179,358,537,1074,1611,3222
Greatest Common Factor
We found the factors 7500,3222 . The biggest common factor number is the GCF number.
So the greatest common factor 7500,3222 is 6.
Lets's calculate LCM of 77,675
Given numbers has no common factors except 1. So, there LCM is their product i.e 51975
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/51975
Therefore, the GCF of Fractions 7500/77,3222/675 is 6/51975
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 77,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,675) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,675) x common factors =1 x 1 = 1
LCM(77,675) = ( 77 × 675 ) / 1
LCM(77,675) = 51975 / 1
LCM(77,675) = 51975
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 7500/77, 3222/675?
Answer: GCF of Numerators as per given numbers 7500/77, 3222/675 is
GCF of Numerators i.e. for 7500,3222 is 6
LCM of denominators i.e. for 77,675 is 51975.
Thus, GCF of Fractions is 6/51975.Finally, GCF of Fractions for 7500/77, 3222/675 is 6/51975.