Use our free GCF of Fractions Calculator tool to compute the GCF of 758/639, 686/200 i.e 2/127800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 758/639, 686/200.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 758/639,686/200
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 758/639,686/200, numerators are 758,686
Denominators are 639,200
The GCF of 758,686 is 2 .
LCM of 639,200 is 127800.
The greatest common factor of 758/639,686/200 = [GCF of 758,686]/[LCM of 639,200]= 2/127800
Therefore, the GCF of 758/639,686/200 is 2/127800.
To find the highest common factor of 758,686, we have to find the factors of both numbers and list the highest common factor.
The factors of 758 are 1, 2, 379, 758
The factors of 686 are 1, 2, 7, 14, 49, 98, 343, 686
The HCF of 758,686 is 2.
Lets's calculate GCF of 758,686
2 | 758, 686 |
379, 343 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 758
:1,2,379,758
Now, list down the factors of 686
:1,2,7,14,49,98,343,686
Greatest Common Factor
We found the factors 758,686 . The biggest common factor number is the GCF number.
So the greatest common factor 758,686 is 2.
Lets's calculate LCM of 639,200
Given numbers has no common factors except 1. So, there LCM is their product i.e 127800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/127800
Therefore, the GCF of Fractions 758/639,686/200 is 2/127800
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 639,200 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(639,200) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(639,200) x common factors =1 x 1 = 1
LCM(639,200) = ( 639 × 200 ) / 1
LCM(639,200) = 127800 / 1
LCM(639,200) = 127800
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 758,686?
The HCF of 758,686 is 2
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 758/639, 686/200?
Answer: GCF of Numerators as per given numbers 758/639, 686/200 is
GCF of Numerators i.e. for 758,686 is 2
LCM of denominators i.e. for 639,200 is 127800.
Thus, GCF of Fractions is 2/127800.Finally, GCF of Fractions for 758/639, 686/200 is 2/127800.