Use our free GCF of Fractions Calculator tool to compute the GCF of 3131/362, 7021/202 i.e 1/36562 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3131/362, 7021/202.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3131/362,7021/202
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 3131/362,7021/202, numerators are 3131,7021
Denominators are 362,202
The GCF of 3131,7021 is 1 .
LCM of 362,202 is 36562.
The greatest common factor of 3131/362,7021/202 = [GCF of 3131,7021]/[LCM of 362,202]= 1/36562
Therefore, the GCF of 3131/362,7021/202 is 1/36562.
To find the highest common factor of 3131,7021, we have to find the factors of both numbers and list the highest common factor.
The factors of 3131 are 1, 31, 101, 3131
The factors of 7021 are 1, 7, 17, 59, 119, 413, 1003, 7021
The HCF of 3131,7021 is 1.
Lets's calculate GCF of 3131,7021
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 3131
:1,31,101,3131
Now, list down the factors of 7021
:1,7,17,59,119,413,1003,7021
Greatest Common Factor
We found the factors 3131,7021 . The biggest common factor number is the GCF number.
So the greatest common factor 3131,7021 is 1.
Lets's calculate LCM of 362,202
2 | 362, 202 |
181, 101 |
∴ So the LCM of the given numbers is 2 x 181 x 101 = 36562
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36562
Therefore, the GCF of Fractions 3131/362,7021/202 is 1/36562
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 362,202 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(362,202) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(362,202) x common factors =2 x 1 = 2
LCM(362,202) = ( 362 × 202 ) / 2
LCM(362,202) = 73124 / 2
LCM(362,202) = 36562
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3131,7021?
The HCF of 3131,7021 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 3131/362, 7021/202?
Answer: GCF of Numerators as per given numbers 3131/362, 7021/202 is
GCF of Numerators i.e. for 3131,7021 is 1
LCM of denominators i.e. for 362,202 is 36562.
Thus, GCF of Fractions is 1/36562.Finally, GCF of Fractions for 3131/362, 7021/202 is 1/36562.