Use our free GCF of Fractions Calculator tool to compute the GCF of 6/37, 87/92, 46/314, 269/705 i.e 1/376771740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6/37, 87/92, 46/314, 269/705.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6/37,87/92,46/314,269/705
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 6/37,87/92,46/314,269/705, numerators are 6,87,46,269
Denominators are 37,92,314,705
The GCF of 6,87,46,269 is 1 .
LCM of 37,92,314,705 is 376771740.
The greatest common factor of 6/37,87/92,46/314,269/705 = [GCF of 6,87,46,269]/[LCM of 37,92,314,705]= 1/376771740
Therefore, the GCF of 6/37,87/92,46/314,269/705 is 1/376771740.
To find the highest common factor of 6,87,46,269, we have to find the factors of both numbers and list the highest common factor.
The factors of 6 are 1, 2, 3, 6
The factors of 87 are 1, 3, 29, 87
The factors of 46 are 1, 2, 23, 46
The factors of 269 are 1, 269
The HCF of 6,87,46,269 is 1.
Lets's calculate GCF of 6,87,46,269
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 6
:1,2,3,6
Now, list down the factors of 87
:1,3,29,87
Now, list down the factors of 46
:1,2,23,46
Now, list down the factors of 269
:1,269
Greatest Common Factor
We found the factors 6,87,46,269 . The biggest common factor number is the GCF number.
So the greatest common factor 6,87,46,269 is 1.
Lets's calculate LCM of 37,92,314,705
2 | 37, 92, 314, 705 |
37, 46, 157, 705 |
∴ So the LCM of the given numbers is 2 x 37 x 46 x 157 x 705 = 376771740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/376771740
Therefore, the GCF of Fractions 6/37,87/92,46/314,269/705 is 1/376771740
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 37,92,314,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,92,314,705) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(37,92,314,705) x common factors =1 x 2 = 2
LCM(37,92,314,705) = ( 37 × 92 × 314 × 705 ) / 2
LCM(37,92,314,705) = 753543480 / 2
LCM(37,92,314,705) = 376771740
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6,87,46,269?
The HCF of 6,87,46,269 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 6/37, 87/92, 46/314, 269/705?
Answer: GCF of Numerators as per given numbers 6/37, 87/92, 46/314, 269/705 is
GCF of Numerators i.e. for 6,87,46,269 is 1
LCM of denominators i.e. for 37,92,314,705 is 376771740.
Thus, GCF of Fractions is 1/376771740.Finally, GCF of Fractions for 6/37, 87/92, 46/314, 269/705 is 1/376771740.