Use our free GCF of Fractions Calculator tool to compute the GCF of 9031/364, 3420/2506 i.e 1/65156 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9031/364, 3420/2506.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9031/364,3420/2506
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 9031/364,3420/2506, numerators are 9031,3420
Denominators are 364,2506
The GCF of 9031,3420 is 1 .
LCM of 364,2506 is 65156.
The greatest common factor of 9031/364,3420/2506 = [GCF of 9031,3420]/[LCM of 364,2506]= 1/65156
Therefore, the GCF of 9031/364,3420/2506 is 1/65156.
To find the highest common factor of 9031,3420, we have to find the factors of both numbers and list the highest common factor.
The factors of 9031 are 1, 11, 821, 9031
The factors of 3420 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 19, 20, 30, 36, 38, 45, 57, 60, 76, 90, 95, 114, 171, 180, 190, 228, 285, 342, 380, 570, 684, 855, 1140, 1710, 3420
The HCF of 9031,3420 is 1.
Lets's calculate GCF of 9031,3420
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 9031
:1,11,821,9031
Now, list down the factors of 3420
:1,2,3,4,5,6,9,10,12,15,18,19,20,30,36,38,45,57,60,76,90,95,114,171,180,190,228,285,342,380,570,684,855,1140,1710,3420
Greatest Common Factor
We found the factors 9031,3420 . The biggest common factor number is the GCF number.
So the greatest common factor 9031,3420 is 1.
Lets's calculate LCM of 364,2506
2 | 364, 2506 |
7 | 182, 1253 |
26, 179 |
∴ So the LCM of the given numbers is 2 x 7 x 26 x 179 = 65156
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65156
Therefore, the GCF of Fractions 9031/364,3420/2506 is 1/65156
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 364,2506 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(364,2506) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(364,2506) x common factors =14 x 1 = 14
LCM(364,2506) = ( 364 × 2506 ) / 14
LCM(364,2506) = 912184 / 14
LCM(364,2506) = 65156
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9031,3420?
The HCF of 9031,3420 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 9031/364, 3420/2506?
Answer: GCF of Numerators as per given numbers 9031/364, 3420/2506 is
GCF of Numerators i.e. for 9031,3420 is 1
LCM of denominators i.e. for 364,2506 is 65156.
Thus, GCF of Fractions is 1/65156.Finally, GCF of Fractions for 9031/364, 3420/2506 is 1/65156.