GCF of 7579/341, 8686/7734
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7579/341, 8686/7734 i.e 1/2637294 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7579/341, 8686/7734.
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 7579/341,8686/7734?
Given fractions are 7579/341,8686/7734
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 7579/341,8686/7734, numerators are 7579,8686
Denominators are 341,7734
The GCF of 7579,8686 is 1 .
LCM of 341,7734 is 2637294.
The greatest common factor of 7579/341,8686/7734 = [GCF of 7579,8686]/[LCM of 341,7734]= 1/2637294
Therefore, the GCF of 7579/341,8686/7734 is 1/2637294.
To find the highest common factor of 7579,8686, we have to find the factors of both numbers and list the highest common factor.
The factors of 7579 are 1, 11, 13, 53, 143, 583, 689, 7579
The factors of 8686 are 1, 2, 43, 86, 101, 202, 4343, 8686
The HCF of 7579,8686 is 1.
Lets's calculate GCF of 7579,8686
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7579,8686 By Matching Biggest Common Factor Method
Now, list down the factors of 7579
:1,11,13,53,143,583,689,7579
Now, list down the factors of 8686
:1,2,43,86,101,202,4343,8686
Greatest Common Factor
We found the factors 7579,8686 . The biggest common factor number is the GCF number.
So the greatest common factor 7579,8686 is 1.
Lets's calculate LCM of 341,7734
Given numbers has no common factors except 1. So, there LCM is their product i.e 2637294
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2637294
Therefore, the GCF of Fractions 7579/341,8686/7734 is 1/2637294
Least Common Multiple of 341,7734 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 341,7734 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(341,7734) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(341,7734) x common factors =1 x 1 = 1
LCM(341,7734) = ( 341 × 7734 ) / 1
LCM(341,7734) = 2637294 / 1
LCM(341,7734) = 2637294
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FAQs on GCF of Fractions of 7579/341, 8686/7734
1. What is the HCF of 7579,8686?
The HCF of 7579,8686 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 7579/341, 8686/7734?
Answer: GCF of Numerators as per given numbers 7579/341, 8686/7734 is
GCF of Numerators i.e. for 7579,8686 is 1
LCM of denominators i.e. for 341,7734 is 2637294.
Thus, GCF of Fractions is 1/2637294.Finally, GCF of Fractions for 7579/341, 8686/7734 is 1/2637294.