GCF of 8838/785, 5826/378
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8838/785, 5826/378 i.e 6/296730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8838/785, 5826/378.
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 8838/785,5826/378?
Given fractions are 8838/785,5826/378
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 8838/785,5826/378, numerators are 8838,5826
Denominators are 785,378
The GCF of 8838,5826 is 6 .
LCM of 785,378 is 296730.
The greatest common factor of 8838/785,5826/378 = [GCF of 8838,5826]/[LCM of 785,378]= 6/296730
Therefore, the GCF of 8838/785,5826/378 is 6/296730.
To find the highest common factor of 8838,5826, we have to find the factors of both numbers and list the highest common factor.
The factors of 8838 are 1, 2, 3, 6, 9, 18, 491, 982, 1473, 2946, 4419, 8838
The factors of 5826 are 1, 2, 3, 6, 971, 1942, 2913, 5826
The HCF of 8838,5826 is 6.
Lets's calculate GCF of 8838,5826
| 2 | 8838, 5826 |
| 3 | 4419, 2913 |
| 1473, 971 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 8838,5826 By Matching Biggest Common Factor Method
Now, list down the factors of 8838
:1,2,3,6,9,18,491,982,1473,2946,4419,8838
Now, list down the factors of 5826
:1,2,3,6,971,1942,2913,5826
Greatest Common Factor
We found the factors 8838,5826 . The biggest common factor number is the GCF number.
So the greatest common factor 8838,5826 is 6.
Lets's calculate LCM of 785,378
Given numbers has no common factors except 1. So, there LCM is their product i.e 296730
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/296730
Therefore, the GCF of Fractions 8838/785,5826/378 is 6/296730
Least Common Multiple of 785,378 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 785,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(785,378) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(785,378) x common factors =1 x 1 = 1
LCM(785,378) = ( 785 × 378 ) / 1
LCM(785,378) = 296730 / 1
LCM(785,378) = 296730
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FAQs on GCF of Fractions of 8838/785, 5826/378
1. What is the HCF of 8838,5826?
The HCF of 8838,5826 is 6
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 8838/785, 5826/378?
Answer: GCF of Numerators as per given numbers 8838/785, 5826/378 is
GCF of Numerators i.e. for 8838,5826 is 6
LCM of denominators i.e. for 785,378 is 296730.
Thus, GCF of Fractions is 6/296730.Finally, GCF of Fractions for 8838/785, 5826/378 is 6/296730.