Use our free GCF of Fractions Calculator tool to compute the GCF of 3/15, 52/49, 62/136, 877/271 i.e 1/27089160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3/15, 52/49, 62/136, 877/271.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3/15,52/49,62/136,877/271
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 3/15,52/49,62/136,877/271, numerators are 3,52,62,877
Denominators are 15,49,136,271
The GCF of 3,52,62,877 is 1 .
LCM of 15,49,136,271 is 27089160.
The greatest common factor of 3/15,52/49,62/136,877/271 = [GCF of 3,52,62,877]/[LCM of 15,49,136,271]= 1/27089160
Therefore, the GCF of 3/15,52/49,62/136,877/271 is 1/27089160.
To find the highest common factor of 3,52,62,877, we have to find the factors of both numbers and list the highest common factor.
The factors of 3 are 1, 3
The factors of 52 are 1, 2, 4, 13, 26, 52
The factors of 62 are 1, 2, 31, 62
The factors of 877 are 1, 877
The HCF of 3,52,62,877 is 1.
Lets's calculate GCF of 3,52,62,877
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 3
:1,3
Now, list down the factors of 52
:1,2,4,13,26,52
Now, list down the factors of 62
:1,2,31,62
Now, list down the factors of 877
:1,877
Greatest Common Factor
We found the factors 3,52,62,877 . The biggest common factor number is the GCF number.
So the greatest common factor 3,52,62,877 is 1.
Lets's calculate LCM of 15,49,136,271
Given numbers has no common factors except 1. So, there LCM is their product i.e 27089160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27089160
Therefore, the GCF of Fractions 3/15,52/49,62/136,877/271 is 1/27089160
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 15,49,136,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,49,136,271) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(15,49,136,271) x common factors =1 x 1 = 1
LCM(15,49,136,271) = ( 15 × 49 × 136 × 271 ) / 1
LCM(15,49,136,271) = 27089160 / 1
LCM(15,49,136,271) = 27089160
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3,52,62,877?
The HCF of 3,52,62,877 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 3/15, 52/49, 62/136, 877/271?
Answer: GCF of Numerators as per given numbers 3/15, 52/49, 62/136, 877/271 is
GCF of Numerators i.e. for 3,52,62,877 is 1
LCM of denominators i.e. for 15,49,136,271 is 27089160.
Thus, GCF of Fractions is 1/27089160.Finally, GCF of Fractions for 3/15, 52/49, 62/136, 877/271 is 1/27089160.