GCF of 759/411, 8711/570
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 759/411, 8711/570 i.e 1/78090 easily. The following is the detailed procedure to determine the greatest common factor of fractions 759/411, 8711/570.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 759/411,8711/570?
Given fractions are 759/411,8711/570
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 759/411,8711/570, numerators are 759,8711
Denominators are 411,570
The GCF of 759,8711 is 1 .
LCM of 411,570 is 78090.
The greatest common factor of 759/411,8711/570 = [GCF of 759,8711]/[LCM of 411,570]= 1/78090
Therefore, the GCF of 759/411,8711/570 is 1/78090.
To find the highest common factor of 759,8711, we have to find the factors of both numbers and list the highest common factor.
The factors of 759 are 1, 3, 11, 23, 33, 69, 253, 759
The factors of 8711 are 1, 31, 281, 8711
The HCF of 759,8711 is 1.
Lets's calculate GCF of 759,8711
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 759,8711 By Matching Biggest Common Factor Method
Now, list down the factors of 759
:1,3,11,23,33,69,253,759
Now, list down the factors of 8711
:1,31,281,8711
Greatest Common Factor
We found the factors 759,8711 . The biggest common factor number is the GCF number.
So the greatest common factor 759,8711 is 1.
Lets's calculate LCM of 411,570
| 3 | 411, 570 |
| 137, 190 |
∴ So the LCM of the given numbers is 3 x 137 x 190 = 78090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/78090
Therefore, the GCF of Fractions 759/411,8711/570 is 1/78090
Least Common Multiple of 411,570 with GCF Formula
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 411,570 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(411,570) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(411,570) x common factors =3 x 1 = 3
LCM(411,570) = ( 411 × 570 ) / 3
LCM(411,570) = 234270 / 3
LCM(411,570) = 78090
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 759/411, 8711/570
1. What is the HCF of 759,8711?
The HCF of 759,8711 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 759/411, 8711/570?
Answer: GCF of Numerators as per given numbers 759/411, 8711/570 is
GCF of Numerators i.e. for 759,8711 is 1
LCM of denominators i.e. for 411,570 is 78090.
Thus, GCF of Fractions is 1/78090.Finally, GCF of Fractions for 759/411, 8711/570 is 1/78090.