GCF of 4290/927, 9868/8052
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4290/927, 9868/8052 i.e 2/2488068 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4290/927, 9868/8052.
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 4290/927,9868/8052?
Given fractions are 4290/927,9868/8052
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 4290/927,9868/8052, numerators are 4290,9868
Denominators are 927,8052
The GCF of 4290,9868 is 2 .
LCM of 927,8052 is 2488068.
The greatest common factor of 4290/927,9868/8052 = [GCF of 4290,9868]/[LCM of 927,8052]= 2/2488068
Therefore, the GCF of 4290/927,9868/8052 is 2/2488068.
To find the highest common factor of 4290,9868, we have to find the factors of both numbers and list the highest common factor.
The factors of 4290 are 1, 2, 3, 5, 6, 10, 11, 13, 15, 22, 26, 30, 33, 39, 55, 65, 66, 78, 110, 130, 143, 165, 195, 286, 330, 390, 429, 715, 858, 1430, 2145, 4290
The factors of 9868 are 1, 2, 4, 2467, 4934, 9868
The HCF of 4290,9868 is 2.
Lets's calculate GCF of 4290,9868
| 2 | 4290, 9868 |
| 2145, 4934 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4290,9868 By Matching Biggest Common Factor Method
Now, list down the factors of 4290
:1,2,3,5,6,10,11,13,15,22,26,30,33,39,55,65,66,78,110,130,143,165,195,286,330,390,429,715,858,1430,2145,4290
Now, list down the factors of 9868
:1,2,4,2467,4934,9868
Greatest Common Factor
We found the factors 4290,9868 . The biggest common factor number is the GCF number.
So the greatest common factor 4290,9868 is 2.
Lets's calculate LCM of 927,8052
| 3 | 927, 8052 |
| 309, 2684 |
∴ So the LCM of the given numbers is 3 x 309 x 2684 = 2488068
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2488068
Therefore, the GCF of Fractions 4290/927,9868/8052 is 2/2488068
Least Common Multiple of 927,8052 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 927,8052 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(927,8052) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(927,8052) x common factors =3 x 1 = 3
LCM(927,8052) = ( 927 × 8052 ) / 3
LCM(927,8052) = 7464204 / 3
LCM(927,8052) = 2488068
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 4290/927, 9868/8052
1. What is the HCF of 4290,9868?
The HCF of 4290,9868 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 4290/927, 9868/8052?
Answer: GCF of Numerators as per given numbers 4290/927, 9868/8052 is
GCF of Numerators i.e. for 4290,9868 is 2
LCM of denominators i.e. for 927,8052 is 2488068.
Thus, GCF of Fractions is 2/2488068.Finally, GCF of Fractions for 4290/927, 9868/8052 is 2/2488068.