Use our free GCF of Fractions Calculator tool to compute the GCF of 658/778, 691/533 i.e 1/414674 easily. The following is the detailed procedure to determine the greatest common factor of fractions 658/778, 691/533.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 658/778,691/533
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 658/778,691/533, numerators are 658,691
Denominators are 778,533
The GCF of 658,691 is 1 .
LCM of 778,533 is 414674.
The greatest common factor of 658/778,691/533 = [GCF of 658,691]/[LCM of 778,533]= 1/414674
Therefore, the GCF of 658/778,691/533 is 1/414674.
To find the highest common factor of 658,691, we have to find the factors of both numbers and list the highest common factor.
The factors of 658 are 1, 2, 7, 14, 47, 94, 329, 658
The factors of 691 are 1, 691
The HCF of 658,691 is 1.
Lets's calculate GCF of 658,691
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 658
:1,2,7,14,47,94,329,658
Now, list down the factors of 691
:1,691
Greatest Common Factor
We found the factors 658,691 . The biggest common factor number is the GCF number.
So the greatest common factor 658,691 is 1.
Lets's calculate LCM of 778,533
Given numbers has no common factors except 1. So, there LCM is their product i.e 414674
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/414674
Therefore, the GCF of Fractions 658/778,691/533 is 1/414674
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 778,533 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(778,533) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(778,533) x common factors =1 x 1 = 1
LCM(778,533) = ( 778 × 533 ) / 1
LCM(778,533) = 414674 / 1
LCM(778,533) = 414674
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 658,691?
The HCF of 658,691 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 658/778, 691/533?
Answer: GCF of Numerators as per given numbers 658/778, 691/533 is
GCF of Numerators i.e. for 658,691 is 1
LCM of denominators i.e. for 778,533 is 414674.
Thus, GCF of Fractions is 1/414674.Finally, GCF of Fractions for 658/778, 691/533 is 1/414674.