Use our free GCF of Fractions Calculator tool to compute the GCF of 2312/213, 7087/5062 i.e 1/1078206 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2312/213, 7087/5062.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2312/213,7087/5062
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 2312/213,7087/5062, numerators are 2312,7087
Denominators are 213,5062
The GCF of 2312,7087 is 1 .
LCM of 213,5062 is 1078206.
The greatest common factor of 2312/213,7087/5062 = [GCF of 2312,7087]/[LCM of 213,5062]= 1/1078206
Therefore, the GCF of 2312/213,7087/5062 is 1/1078206.
To find the highest common factor of 2312,7087, we have to find the factors of both numbers and list the highest common factor.
The factors of 2312 are 1, 2, 4, 8, 17, 34, 68, 136, 289, 578, 1156, 2312
The factors of 7087 are 1, 19, 373, 7087
The HCF of 2312,7087 is 1.
Lets's calculate GCF of 2312,7087
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 2312
:1,2,4,8,17,34,68,136,289,578,1156,2312
Now, list down the factors of 7087
:1,19,373,7087
Greatest Common Factor
We found the factors 2312,7087 . The biggest common factor number is the GCF number.
So the greatest common factor 2312,7087 is 1.
Lets's calculate LCM of 213,5062
Given numbers has no common factors except 1. So, there LCM is their product i.e 1078206
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1078206
Therefore, the GCF of Fractions 2312/213,7087/5062 is 1/1078206
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 213,5062 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(213,5062) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(213,5062) x common factors =1 x 1 = 1
LCM(213,5062) = ( 213 × 5062 ) / 1
LCM(213,5062) = 1078206 / 1
LCM(213,5062) = 1078206
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2312,7087?
The HCF of 2312,7087 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 2312/213, 7087/5062?
Answer: GCF of Numerators as per given numbers 2312/213, 7087/5062 is
GCF of Numerators i.e. for 2312,7087 is 1
LCM of denominators i.e. for 213,5062 is 1078206.
Thus, GCF of Fractions is 1/1078206.Finally, GCF of Fractions for 2312/213, 7087/5062 is 1/1078206.