Use our free GCF of Fractions Calculator tool to compute the GCF of 2625/133, 6646/3182 i.e 1/423206 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2625/133, 6646/3182.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2625/133,6646/3182
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 2625/133,6646/3182, numerators are 2625,6646
Denominators are 133,3182
The GCF of 2625,6646 is 1 .
LCM of 133,3182 is 423206.
The greatest common factor of 2625/133,6646/3182 = [GCF of 2625,6646]/[LCM of 133,3182]= 1/423206
Therefore, the GCF of 2625/133,6646/3182 is 1/423206.
To find the highest common factor of 2625,6646, we have to find the factors of both numbers and list the highest common factor.
The factors of 2625 are 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 125, 175, 375, 525, 875, 2625
The factors of 6646 are 1, 2, 3323, 6646
The HCF of 2625,6646 is 1.
Lets's calculate GCF of 2625,6646
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 2625
:1,3,5,7,15,21,25,35,75,105,125,175,375,525,875,2625
Now, list down the factors of 6646
:1,2,3323,6646
Greatest Common Factor
We found the factors 2625,6646 . The biggest common factor number is the GCF number.
So the greatest common factor 2625,6646 is 1.
Lets's calculate LCM of 133,3182
Given numbers has no common factors except 1. So, there LCM is their product i.e 423206
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/423206
Therefore, the GCF of Fractions 2625/133,6646/3182 is 1/423206
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 133,3182 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(133,3182) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(133,3182) x common factors =1 x 1 = 1
LCM(133,3182) = ( 133 × 3182 ) / 1
LCM(133,3182) = 423206 / 1
LCM(133,3182) = 423206
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2625,6646?
The HCF of 2625,6646 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 2625/133, 6646/3182?
Answer: GCF of Numerators as per given numbers 2625/133, 6646/3182 is
GCF of Numerators i.e. for 2625,6646 is 1
LCM of denominators i.e. for 133,3182 is 423206.
Thus, GCF of Fractions is 1/423206.Finally, GCF of Fractions for 2625/133, 6646/3182 is 1/423206.