GCF of 5186/760, 6628/2971
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5186/760, 6628/2971 i.e 2/2257960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5186/760, 6628/2971.
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 5186/760,6628/2971?
Given fractions are 5186/760,6628/2971
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 5186/760,6628/2971, numerators are 5186,6628
Denominators are 760,2971
The GCF of 5186,6628 is 2 .
LCM of 760,2971 is 2257960.
The greatest common factor of 5186/760,6628/2971 = [GCF of 5186,6628]/[LCM of 760,2971]= 2/2257960
Therefore, the GCF of 5186/760,6628/2971 is 2/2257960.
To find the highest common factor of 5186,6628, we have to find the factors of both numbers and list the highest common factor.
The factors of 5186 are 1, 2, 2593, 5186
The factors of 6628 are 1, 2, 4, 1657, 3314, 6628
The HCF of 5186,6628 is 2.
Lets's calculate GCF of 5186,6628
| 2 | 5186, 6628 |
| 2593, 3314 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5186,6628 By Matching Biggest Common Factor Method
Now, list down the factors of 5186
:1,2,2593,5186
Now, list down the factors of 6628
:1,2,4,1657,3314,6628
Greatest Common Factor
We found the factors 5186,6628 . The biggest common factor number is the GCF number.
So the greatest common factor 5186,6628 is 2.
Lets's calculate LCM of 760,2971
Given numbers has no common factors except 1. So, there LCM is their product i.e 2257960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2257960
Therefore, the GCF of Fractions 5186/760,6628/2971 is 2/2257960
Least Common Multiple of 760,2971 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 760,2971 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(760,2971) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(760,2971) x common factors =1 x 1 = 1
LCM(760,2971) = ( 760 × 2971 ) / 1
LCM(760,2971) = 2257960 / 1
LCM(760,2971) = 2257960
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FAQs on GCF of Fractions of 5186/760, 6628/2971
1. What is the HCF of 5186,6628?
The HCF of 5186,6628 is 2
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 5186/760, 6628/2971?
Answer: GCF of Numerators as per given numbers 5186/760, 6628/2971 is
GCF of Numerators i.e. for 5186,6628 is 2
LCM of denominators i.e. for 760,2971 is 2257960.
Thus, GCF of Fractions is 2/2257960.Finally, GCF of Fractions for 5186/760, 6628/2971 is 2/2257960.