Use our free GCF of Fractions Calculator tool to compute the GCF of 835/700, 668/335 i.e 167/46900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 835/700, 668/335.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 835/700,668/335
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 835/700,668/335, numerators are 835,668
Denominators are 700,335
The GCF of 835,668 is 167 .
LCM of 700,335 is 46900.
The greatest common factor of 835/700,668/335 = [GCF of 835,668]/[LCM of 700,335]= 167/46900
Therefore, the GCF of 835/700,668/335 is 167/46900.
To find the highest common factor of 835,668, we have to find the factors of both numbers and list the highest common factor.
The factors of 835 are 1, 5, 167, 835
The factors of 668 are 1, 2, 4, 167, 334, 668
The HCF of 835,668 is 167.
Lets's calculate GCF of 835,668
167 | 835, 668 |
5, 4 |
∴ So the GCF of the given numbers is 167 = 167
Now, list down the factors of 835
:1,5,167,835
Now, list down the factors of 668
:1,2,4,167,334,668
Greatest Common Factor
We found the factors 835,668 . The biggest common factor number is the GCF number.
So the greatest common factor 835,668 is 167.
Lets's calculate LCM of 700,335
5 | 700, 335 |
140, 67 |
∴ So the LCM of the given numbers is 5 x 140 x 67 = 46900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 167/46900
Therefore, the GCF of Fractions 835/700,668/335 is 167/46900
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 700,335 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(700,335) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(700,335) x common factors =5 x 1 = 5
LCM(700,335) = ( 700 × 335 ) / 5
LCM(700,335) = 234500 / 5
LCM(700,335) = 46900
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 835,668?
The HCF of 835,668 is 167
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 835/700, 668/335?
Answer: GCF of Numerators as per given numbers 835/700, 668/335 is
GCF of Numerators i.e. for 835,668 is 167
LCM of denominators i.e. for 700,335 is 46900.
Thus, GCF of Fractions is 167/46900.Finally, GCF of Fractions for 835/700, 668/335 is 167/46900.