GCF of 5129/615, 6960/2986
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5129/615, 6960/2986 i.e 1/1836390 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5129/615, 6960/2986.
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 5129/615,6960/2986?
Given fractions are 5129/615,6960/2986
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 5129/615,6960/2986, numerators are 5129,6960
Denominators are 615,2986
The GCF of 5129,6960 is 1 .
LCM of 615,2986 is 1836390.
The greatest common factor of 5129/615,6960/2986 = [GCF of 5129,6960]/[LCM of 615,2986]= 1/1836390
Therefore, the GCF of 5129/615,6960/2986 is 1/1836390.
To find the highest common factor of 5129,6960, we have to find the factors of both numbers and list the highest common factor.
The factors of 5129 are 1, 23, 223, 5129
The factors of 6960 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 29, 30, 40, 48, 58, 60, 80, 87, 116, 120, 145, 174, 232, 240, 290, 348, 435, 464, 580, 696, 870, 1160, 1392, 1740, 2320, 3480, 6960
The HCF of 5129,6960 is 1.
Lets's calculate GCF of 5129,6960
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5129,6960 By Matching Biggest Common Factor Method
Now, list down the factors of 5129
:1,23,223,5129
Now, list down the factors of 6960
:1,2,3,4,5,6,8,10,12,15,16,20,24,29,30,40,48,58,60,80,87,116,120,145,174,232,240,290,348,435,464,580,696,870,1160,1392,1740,2320,3480,6960
Greatest Common Factor
We found the factors 5129,6960 . The biggest common factor number is the GCF number.
So the greatest common factor 5129,6960 is 1.
Lets's calculate LCM of 615,2986
Given numbers has no common factors except 1. So, there LCM is their product i.e 1836390
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1836390
Therefore, the GCF of Fractions 5129/615,6960/2986 is 1/1836390
Least Common Multiple of 615,2986 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 615,2986 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(615,2986) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(615,2986) x common factors =1 x 1 = 1
LCM(615,2986) = ( 615 × 2986 ) / 1
LCM(615,2986) = 1836390 / 1
LCM(615,2986) = 1836390
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FAQs on GCF of Fractions of 5129/615, 6960/2986
1. What is the HCF of 5129,6960?
The HCF of 5129,6960 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 5129/615, 6960/2986?
Answer: GCF of Numerators as per given numbers 5129/615, 6960/2986 is
GCF of Numerators i.e. for 5129,6960 is 1
LCM of denominators i.e. for 615,2986 is 1836390.
Thus, GCF of Fractions is 1/1836390.Finally, GCF of Fractions for 5129/615, 6960/2986 is 1/1836390.