Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6076/42,7400/109
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 6076,7400
Greatest Common Factor of Numerators i.e. GCF of 6076,7400 is 4 .
LCM of Denominators means LCM of 42,109 as per the given fractions.
LCM of 42,109 is 4578 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6076,7400
2 | 6076, 7400 |
2 | 3038, 3700 |
1519, 1850 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 6076
List of positive integer factors of 6076 that divides 6076 without a remainder.
1,2,4,7,14,28,31,49,62,98,124,196,217,434,868,1519,3038,6076
Factors of 7400
List of positive integer factors of 7400 that divides 7400 without a remainder.
1,2,4,5,8,10,20,25,37,40,50,74,100,148,185,200,296,370,740,925,1480,1850,3700,7400
Greatest Common Factor
We found the factors 6076,7400 . The biggest common factor number is the GCF number.
So the greatest common factor 6076,7400 is 4.
Lets's calculate LCM of 42,109
Given numbers has no common factors except 1. So, there LCM is their product i.e 4578
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/4578
Therefore, the GCF of Fractions 6076/42,7400/109 is 4/4578
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 42,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,109) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(42,109) x common factors =1 x 1 = 1
LCM(42,109) = ( 42 × 109 ) / 1
LCM(42,109) = 4578 / 1
LCM(42,109) = 4578
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 6076/42, 7400/109?
Answer: GCF of Numerators as per given numbers 6076/42, 7400/109 is
GCF of Numerators i.e. for 6076,7400 is 4
LCM of denominators i.e. for 42,109 is 4578.
Thus, GCF of Fractions is 4/4578.Finally, GCF of Fractions for 6076/42, 7400/109 is 4/4578.