GCF of 5856/618, 6136/8175
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5856/618, 6136/8175 i.e 8/1684050 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5856/618, 6136/8175.
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 5856/618,6136/8175?
Given fractions are 5856/618,6136/8175
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 5856/618,6136/8175, numerators are 5856,6136
Denominators are 618,8175
The GCF of 5856,6136 is 8 .
LCM of 618,8175 is 1684050.
The greatest common factor of 5856/618,6136/8175 = [GCF of 5856,6136]/[LCM of 618,8175]= 8/1684050
Therefore, the GCF of 5856/618,6136/8175 is 8/1684050.
To find the highest common factor of 5856,6136, we have to find the factors of both numbers and list the highest common factor.
The factors of 5856 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 61, 96, 122, 183, 244, 366, 488, 732, 976, 1464, 1952, 2928, 5856
The factors of 6136 are 1, 2, 4, 8, 13, 26, 52, 59, 104, 118, 236, 472, 767, 1534, 3068, 6136
The HCF of 5856,6136 is 8.
Lets's calculate GCF of 5856,6136
| 2 | 5856, 6136 |
| 2 | 2928, 3068 |
| 2 | 1464, 1534 |
| 732, 767 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 5856,6136 By Matching Biggest Common Factor Method
Now, list down the factors of 5856
:1,2,3,4,6,8,12,16,24,32,48,61,96,122,183,244,366,488,732,976,1464,1952,2928,5856
Now, list down the factors of 6136
:1,2,4,8,13,26,52,59,104,118,236,472,767,1534,3068,6136
Greatest Common Factor
We found the factors 5856,6136 . The biggest common factor number is the GCF number.
So the greatest common factor 5856,6136 is 8.
Lets's calculate LCM of 618,8175
| 3 | 618, 8175 |
| 206, 2725 |
∴ So the LCM of the given numbers is 3 x 206 x 2725 = 1684050
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1684050
Therefore, the GCF of Fractions 5856/618,6136/8175 is 8/1684050
Least Common Multiple of 618,8175 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 618,8175 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(618,8175) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(618,8175) x common factors =3 x 1 = 3
LCM(618,8175) = ( 618 × 8175 ) / 3
LCM(618,8175) = 5052150 / 3
LCM(618,8175) = 1684050
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FAQs on GCF of Fractions of 5856/618, 6136/8175
1. What is the HCF of 5856,6136?
The HCF of 5856,6136 is 8
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 5856/618, 6136/8175?
Answer: GCF of Numerators as per given numbers 5856/618, 6136/8175 is
GCF of Numerators i.e. for 5856,6136 is 8
LCM of denominators i.e. for 618,8175 is 1684050.
Thus, GCF of Fractions is 8/1684050.Finally, GCF of Fractions for 5856/618, 6136/8175 is 8/1684050.