Use our free GCF of Fractions Calculator tool to compute the GCF of 967/206, 691/140 i.e 1/14420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 967/206, 691/140.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 967/206,691/140
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 967/206,691/140, numerators are 967,691
Denominators are 206,140
The GCF of 967,691 is 1 .
LCM of 206,140 is 14420.
The greatest common factor of 967/206,691/140 = [GCF of 967,691]/[LCM of 206,140]= 1/14420
Therefore, the GCF of 967/206,691/140 is 1/14420.
To find the highest common factor of 967,691, we have to find the factors of both numbers and list the highest common factor.
The factors of 967 are 1, 967
The factors of 691 are 1, 691
The HCF of 967,691 is 1.
Lets's calculate GCF of 967,691
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 967
:1,967
Now, list down the factors of 691
:1,691
Greatest Common Factor
We found the factors 967,691 . The biggest common factor number is the GCF number.
So the greatest common factor 967,691 is 1.
Lets's calculate LCM of 206,140
2 | 206, 140 |
103, 70 |
∴ So the LCM of the given numbers is 2 x 103 x 70 = 14420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14420
Therefore, the GCF of Fractions 967/206,691/140 is 1/14420
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 206,140 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(206,140) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(206,140) x common factors =2 x 1 = 2
LCM(206,140) = ( 206 × 140 ) / 2
LCM(206,140) = 28840 / 2
LCM(206,140) = 14420
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 967,691?
The HCF of 967,691 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 967/206, 691/140?
Answer: GCF of Numerators as per given numbers 967/206, 691/140 is
GCF of Numerators i.e. for 967,691 is 1
LCM of denominators i.e. for 206,140 is 14420.
Thus, GCF of Fractions is 1/14420.Finally, GCF of Fractions for 967/206, 691/140 is 1/14420.