Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5565/90,4900/761
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 5565,4900
Greatest Common Factor of Numerators i.e. GCF of 5565,4900 is 35 .
LCM of Denominators means LCM of 90,761 as per the given fractions.
LCM of 90,761 is 68490 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5565,4900
5 | 5565, 4900 |
7 | 1113, 980 |
159, 140 |
∴ So the GCF of the given numbers is 5 x 7 = 35
Factors of 5565
List of positive integer factors of 5565 that divides 5565 without a remainder.
1,3,5,7,15,21,35,53,105,159,265,371,795,1113,1855,5565
Factors of 4900
List of positive integer factors of 4900 that divides 4900 without a remainder.
1,2,4,5,7,10,14,20,25,28,35,49,50,70,98,100,140,175,196,245,350,490,700,980,1225,2450,4900
Greatest Common Factor
We found the factors 5565,4900 . The biggest common factor number is the GCF number.
So the greatest common factor 5565,4900 is 35.
Lets's calculate LCM of 90,761
Given numbers has no common factors except 1. So, there LCM is their product i.e 68490
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 35/68490
Therefore, the GCF of Fractions 5565/90,4900/761 is 35/68490
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 90,761 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,761) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(90,761) x common factors =1 x 1 = 1
LCM(90,761) = ( 90 × 761 ) / 1
LCM(90,761) = 68490 / 1
LCM(90,761) = 68490
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 5565/90, 4900/761?
Answer: GCF of Numerators as per given numbers 5565/90, 4900/761 is
GCF of Numerators i.e. for 5565,4900 is 35
LCM of denominators i.e. for 90,761 is 68490.
Thus, GCF of Fractions is 35/68490.Finally, GCF of Fractions for 5565/90, 4900/761 is 35/68490.