Use our free GCF of Fractions Calculator tool to compute the GCF of 1712/357, 6095/362 i.e 1/129234 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1712/357, 6095/362.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1712/357,6095/362
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 1712/357,6095/362, numerators are 1712,6095
Denominators are 357,362
The GCF of 1712,6095 is 1 .
LCM of 357,362 is 129234.
The greatest common factor of 1712/357,6095/362 = [GCF of 1712,6095]/[LCM of 357,362]= 1/129234
Therefore, the GCF of 1712/357,6095/362 is 1/129234.
To find the highest common factor of 1712,6095, we have to find the factors of both numbers and list the highest common factor.
The factors of 1712 are 1, 2, 4, 8, 16, 107, 214, 428, 856, 1712
The factors of 6095 are 1, 5, 23, 53, 115, 265, 1219, 6095
The HCF of 1712,6095 is 1.
Lets's calculate GCF of 1712,6095
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 1712
:1,2,4,8,16,107,214,428,856,1712
Now, list down the factors of 6095
:1,5,23,53,115,265,1219,6095
Greatest Common Factor
We found the factors 1712,6095 . The biggest common factor number is the GCF number.
So the greatest common factor 1712,6095 is 1.
Lets's calculate LCM of 357,362
Given numbers has no common factors except 1. So, there LCM is their product i.e 129234
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/129234
Therefore, the GCF of Fractions 1712/357,6095/362 is 1/129234
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 357,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(357,362) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(357,362) x common factors =1 x 1 = 1
LCM(357,362) = ( 357 × 362 ) / 1
LCM(357,362) = 129234 / 1
LCM(357,362) = 129234
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1712,6095?
The HCF of 1712,6095 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 1712/357, 6095/362?
Answer: GCF of Numerators as per given numbers 1712/357, 6095/362 is
GCF of Numerators i.e. for 1712,6095 is 1
LCM of denominators i.e. for 357,362 is 129234.
Thus, GCF of Fractions is 1/129234.Finally, GCF of Fractions for 1712/357, 6095/362 is 1/129234.