GCF of 759/464, 841/620, 609/151
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 759/464, 841/620, 609/151 i.e 1/10859920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 759/464, 841/620, 609/151.
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 759/464,841/620,609/151?
Given fractions are 759/464,841/620,609/151
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 759/464,841/620,609/151, numerators are 759,841,609
Denominators are 464,620,151
The GCF of 759,841,609 is 1 .
LCM of 464,620,151 is 10859920.
The greatest common factor of 759/464,841/620,609/151 = [GCF of 759,841,609]/[LCM of 464,620,151]= 1/10859920
Therefore, the GCF of 759/464,841/620,609/151 is 1/10859920.
To find the highest common factor of 759,841,609, 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 841 are 1, 29, 841
The factors of 609 are 1, 3, 7, 21, 29, 87, 203, 609
The HCF of 759,841,609 is 1.
Lets's calculate GCF of 759,841,609
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 759,841,609 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 841
:1,29,841
Now, list down the factors of 609
:1,3,7,21,29,87,203,609
Greatest Common Factor
We found the factors 759,841,609 . The biggest common factor number is the GCF number.
So the greatest common factor 759,841,609 is 1.
Lets's calculate LCM of 464,620,151
| 2 | 464, 620, 151 |
| 2 | 232, 310, 151 |
| 116, 155, 151 |
∴ So the LCM of the given numbers is 2 x 2 x 116 x 155 x 151 = 10859920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10859920
Therefore, the GCF of Fractions 759/464,841/620,609/151 is 1/10859920
Least Common Multiple of 464,620,151 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 464,620,151 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(464,620,151) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(464,620,151) x common factors =1 x 4 = 4
LCM(464,620,151) = ( 464 × 620 × 151 ) / 4
LCM(464,620,151) = 43439680 / 4
LCM(464,620,151) = 10859920
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 759/464, 841/620, 609/151
1. What is the HCF of 759,841,609?
The HCF of 759,841,609 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 759/464, 841/620, 609/151?
Answer: GCF of Numerators as per given numbers 759/464, 841/620, 609/151 is
GCF of Numerators i.e. for 759,841,609 is 1
LCM of denominators i.e. for 464,620,151 is 10859920.
Thus, GCF of Fractions is 1/10859920.Finally, GCF of Fractions for 759/464, 841/620, 609/151 is 1/10859920.