Use our free GCF of Fractions Calculator tool to compute the GCF of 545/759, 691/420 i.e 1/106260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 545/759, 691/420.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 545/759,691/420
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 545/759,691/420, numerators are 545,691
Denominators are 759,420
The GCF of 545,691 is 1 .
LCM of 759,420 is 106260.
The greatest common factor of 545/759,691/420 = [GCF of 545,691]/[LCM of 759,420]= 1/106260
Therefore, the GCF of 545/759,691/420 is 1/106260.
To find the highest common factor of 545,691, we have to find the factors of both numbers and list the highest common factor.
The factors of 545 are 1, 5, 109, 545
The factors of 691 are 1, 691
The HCF of 545,691 is 1.
Lets's calculate GCF of 545,691
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 545
:1,5,109,545
Now, list down the factors of 691
:1,691
Greatest Common Factor
We found the factors 545,691 . The biggest common factor number is the GCF number.
So the greatest common factor 545,691 is 1.
Lets's calculate LCM of 759,420
3 | 759, 420 |
253, 140 |
∴ So the LCM of the given numbers is 3 x 253 x 140 = 106260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/106260
Therefore, the GCF of Fractions 545/759,691/420 is 1/106260
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 759,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(759,420) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(759,420) x common factors =3 x 1 = 3
LCM(759,420) = ( 759 × 420 ) / 3
LCM(759,420) = 318780 / 3
LCM(759,420) = 106260
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 545,691?
The HCF of 545,691 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 545/759, 691/420?
Answer: GCF of Numerators as per given numbers 545/759, 691/420 is
GCF of Numerators i.e. for 545,691 is 1
LCM of denominators i.e. for 759,420 is 106260.
Thus, GCF of Fractions is 1/106260.Finally, GCF of Fractions for 545/759, 691/420 is 1/106260.