GCF of 6838/363, 5070/8960
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6838/363, 5070/8960 i.e 26/3252480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6838/363, 5070/8960.
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 6838/363,5070/8960?
Given fractions are 6838/363,5070/8960
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 6838/363,5070/8960, numerators are 6838,5070
Denominators are 363,8960
The GCF of 6838,5070 is 26 .
LCM of 363,8960 is 3252480.
The greatest common factor of 6838/363,5070/8960 = [GCF of 6838,5070]/[LCM of 363,8960]= 26/3252480
Therefore, the GCF of 6838/363,5070/8960 is 26/3252480.
To find the highest common factor of 6838,5070, we have to find the factors of both numbers and list the highest common factor.
The factors of 6838 are 1, 2, 13, 26, 263, 526, 3419, 6838
The factors of 5070 are 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 169, 195, 338, 390, 507, 845, 1014, 1690, 2535, 5070
The HCF of 6838,5070 is 26.
Lets's calculate GCF of 6838,5070
| 2 | 6838, 5070 |
| 13 | 3419, 2535 |
| 263, 195 |
∴ So the GCF of the given numbers is 2 x 13 = 26
Greatest Common Factor of 6838,5070 By Matching Biggest Common Factor Method
Now, list down the factors of 6838
:1,2,13,26,263,526,3419,6838
Now, list down the factors of 5070
:1,2,3,5,6,10,13,15,26,30,39,65,78,130,169,195,338,390,507,845,1014,1690,2535,5070
Greatest Common Factor
We found the factors 6838,5070 . The biggest common factor number is the GCF number.
So the greatest common factor 6838,5070 is 26.
Lets's calculate LCM of 363,8960
Given numbers has no common factors except 1. So, there LCM is their product i.e 3252480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/3252480
Therefore, the GCF of Fractions 6838/363,5070/8960 is 26/3252480
Least Common Multiple of 363,8960 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 363,8960 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(363,8960) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(363,8960) x common factors =1 x 1 = 1
LCM(363,8960) = ( 363 × 8960 ) / 1
LCM(363,8960) = 3252480 / 1
LCM(363,8960) = 3252480
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FAQs on GCF of Fractions of 6838/363, 5070/8960
1. What is the HCF of 6838,5070?
The HCF of 6838,5070 is 26
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 6838/363, 5070/8960?
Answer: GCF of Numerators as per given numbers 6838/363, 5070/8960 is
GCF of Numerators i.e. for 6838,5070 is 26
LCM of denominators i.e. for 363,8960 is 3252480.
Thus, GCF of Fractions is 26/3252480.Finally, GCF of Fractions for 6838/363, 5070/8960 is 26/3252480.