GCF of 5286/399, 7922/5862
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5286/399, 7922/5862 i.e 2/779646 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5286/399, 7922/5862.
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 5286/399,7922/5862?
Given fractions are 5286/399,7922/5862
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 5286/399,7922/5862, numerators are 5286,7922
Denominators are 399,5862
The GCF of 5286,7922 is 2 .
LCM of 399,5862 is 779646.
The greatest common factor of 5286/399,7922/5862 = [GCF of 5286,7922]/[LCM of 399,5862]= 2/779646
Therefore, the GCF of 5286/399,7922/5862 is 2/779646.
To find the highest common factor of 5286,7922, we have to find the factors of both numbers and list the highest common factor.
The factors of 5286 are 1, 2, 3, 6, 881, 1762, 2643, 5286
The factors of 7922 are 1, 2, 17, 34, 233, 466, 3961, 7922
The HCF of 5286,7922 is 2.
Lets's calculate GCF of 5286,7922
| 2 | 5286, 7922 |
| 2643, 3961 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5286,7922 By Matching Biggest Common Factor Method
Now, list down the factors of 5286
:1,2,3,6,881,1762,2643,5286
Now, list down the factors of 7922
:1,2,17,34,233,466,3961,7922
Greatest Common Factor
We found the factors 5286,7922 . The biggest common factor number is the GCF number.
So the greatest common factor 5286,7922 is 2.
Lets's calculate LCM of 399,5862
| 3 | 399, 5862 |
| 133, 1954 |
∴ So the LCM of the given numbers is 3 x 133 x 1954 = 779646
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/779646
Therefore, the GCF of Fractions 5286/399,7922/5862 is 2/779646
Least Common Multiple of 399,5862 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 399,5862 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(399,5862) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(399,5862) x common factors =3 x 1 = 3
LCM(399,5862) = ( 399 × 5862 ) / 3
LCM(399,5862) = 2338938 / 3
LCM(399,5862) = 779646
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FAQs on GCF of Fractions of 5286/399, 7922/5862
1. What is the HCF of 5286,7922?
The HCF of 5286,7922 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 5286/399, 7922/5862?
Answer: GCF of Numerators as per given numbers 5286/399, 7922/5862 is
GCF of Numerators i.e. for 5286,7922 is 2
LCM of denominators i.e. for 399,5862 is 779646.
Thus, GCF of Fractions is 2/779646.Finally, GCF of Fractions for 5286/399, 7922/5862 is 2/779646.