GCF of 7218/961, 5759/769
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7218/961, 5759/769 i.e 1/739009 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7218/961, 5759/769.
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 7218/961,5759/769?
Given fractions are 7218/961,5759/769
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 7218/961,5759/769, numerators are 7218,5759
Denominators are 961,769
The GCF of 7218,5759 is 1 .
LCM of 961,769 is 739009.
The greatest common factor of 7218/961,5759/769 = [GCF of 7218,5759]/[LCM of 961,769]= 1/739009
Therefore, the GCF of 7218/961,5759/769 is 1/739009.
To find the highest common factor of 7218,5759, we have to find the factors of both numbers and list the highest common factor.
The factors of 7218 are 1, 2, 3, 6, 9, 18, 401, 802, 1203, 2406, 3609, 7218
The factors of 5759 are 1, 13, 443, 5759
The HCF of 7218,5759 is 1.
Lets's calculate GCF of 7218,5759
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7218,5759 By Matching Biggest Common Factor Method
Now, list down the factors of 7218
:1,2,3,6,9,18,401,802,1203,2406,3609,7218
Now, list down the factors of 5759
:1,13,443,5759
Greatest Common Factor
We found the factors 7218,5759 . The biggest common factor number is the GCF number.
So the greatest common factor 7218,5759 is 1.
Lets's calculate LCM of 961,769
Given numbers has no common factors except 1. So, there LCM is their product i.e 739009
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/739009
Therefore, the GCF of Fractions 7218/961,5759/769 is 1/739009
Least Common Multiple of 961,769 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 961,769 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(961,769) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(961,769) x common factors =1 x 1 = 1
LCM(961,769) = ( 961 × 769 ) / 1
LCM(961,769) = 739009 / 1
LCM(961,769) = 739009
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FAQs on GCF of Fractions of 7218/961, 5759/769
1. What is the HCF of 7218,5759?
The HCF of 7218,5759 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 7218/961, 5759/769?
Answer: GCF of Numerators as per given numbers 7218/961, 5759/769 is
GCF of Numerators i.e. for 7218,5759 is 1
LCM of denominators i.e. for 961,769 is 739009.
Thus, GCF of Fractions is 1/739009.Finally, GCF of Fractions for 7218/961, 5759/769 is 1/739009.