Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 761/357,5168/1906
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 761,5168
Greatest Common Factor of Numerators i.e. GCF of 761,5168 is 1 .
LCM of Denominators means LCM of 357,1906 as per the given fractions.
LCM of 357,1906 is 680442 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 761,5168
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 761
List of positive integer factors of 761 that divides 761 without a remainder.
1,761
Factors of 5168
List of positive integer factors of 5168 that divides 5168 without a remainder.
1,2,4,8,16,17,19,34,38,68,76,136,152,272,304,323,646,1292,2584,5168
Greatest Common Factor
We found the factors 761,5168 . The biggest common factor number is the GCF number.
So the greatest common factor 761,5168 is 1.
Lets's calculate LCM of 357,1906
Given numbers has no common factors except 1. So, there LCM is their product i.e 680442
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/680442
Therefore, the GCF of Fractions 761/357,5168/1906 is 1/680442
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 357,1906 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(357,1906) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(357,1906) x common factors =1 x 1 = 1
LCM(357,1906) = ( 357 × 1906 ) / 1
LCM(357,1906) = 680442 / 1
LCM(357,1906) = 680442
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 761/357, 5168/1906?
Answer: GCF of Numerators as per given numbers 761/357, 5168/1906 is
GCF of Numerators i.e. for 761,5168 is 1
LCM of denominators i.e. for 357,1906 is 680442.
Thus, GCF of Fractions is 1/680442.Finally, GCF of Fractions for 761/357, 5168/1906 is 1/680442.