GCF of 5160/617, 6179/8409
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5160/617, 6179/8409 i.e 1/5188353 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5160/617, 6179/8409.
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 5160/617,6179/8409?
Given fractions are 5160/617,6179/8409
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 5160/617,6179/8409, numerators are 5160,6179
Denominators are 617,8409
The GCF of 5160,6179 is 1 .
LCM of 617,8409 is 5188353.
The greatest common factor of 5160/617,6179/8409 = [GCF of 5160,6179]/[LCM of 617,8409]= 1/5188353
Therefore, the GCF of 5160/617,6179/8409 is 1/5188353.
To find the highest common factor of 5160,6179, we have to find the factors of both numbers and list the highest common factor.
The factors of 5160 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 43, 60, 86, 120, 129, 172, 215, 258, 344, 430, 516, 645, 860, 1032, 1290, 1720, 2580, 5160
The factors of 6179 are 1, 37, 167, 6179
The HCF of 5160,6179 is 1.
Lets's calculate GCF of 5160,6179
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5160,6179 By Matching Biggest Common Factor Method
Now, list down the factors of 5160
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,43,60,86,120,129,172,215,258,344,430,516,645,860,1032,1290,1720,2580,5160
Now, list down the factors of 6179
:1,37,167,6179
Greatest Common Factor
We found the factors 5160,6179 . The biggest common factor number is the GCF number.
So the greatest common factor 5160,6179 is 1.
Lets's calculate LCM of 617,8409
Given numbers has no common factors except 1. So, there LCM is their product i.e 5188353
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5188353
Therefore, the GCF of Fractions 5160/617,6179/8409 is 1/5188353
Least Common Multiple of 617,8409 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 617,8409 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(617,8409) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(617,8409) x common factors =1 x 1 = 1
LCM(617,8409) = ( 617 × 8409 ) / 1
LCM(617,8409) = 5188353 / 1
LCM(617,8409) = 5188353
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FAQs on GCF of Fractions of 5160/617, 6179/8409
1. What is the HCF of 5160,6179?
The HCF of 5160,6179 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 5160/617, 6179/8409?
Answer: GCF of Numerators as per given numbers 5160/617, 6179/8409 is
GCF of Numerators i.e. for 5160,6179 is 1
LCM of denominators i.e. for 617,8409 is 5188353.
Thus, GCF of Fractions is 1/5188353.Finally, GCF of Fractions for 5160/617, 6179/8409 is 1/5188353.