GCF of 6113/852, 6864/6045
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6113/852, 6864/6045 i.e 1/1716780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6113/852, 6864/6045.
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 6113/852,6864/6045?
Given fractions are 6113/852,6864/6045
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 6113/852,6864/6045, numerators are 6113,6864
Denominators are 852,6045
The GCF of 6113,6864 is 1 .
LCM of 852,6045 is 1716780.
The greatest common factor of 6113/852,6864/6045 = [GCF of 6113,6864]/[LCM of 852,6045]= 1/1716780
Therefore, the GCF of 6113/852,6864/6045 is 1/1716780.
To find the highest common factor of 6113,6864, we have to find the factors of both numbers and list the highest common factor.
The factors of 6113 are 1, 6113
The factors of 6864 are 1, 2, 3, 4, 6, 8, 11, 12, 13, 16, 22, 24, 26, 33, 39, 44, 48, 52, 66, 78, 88, 104, 132, 143, 156, 176, 208, 264, 286, 312, 429, 528, 572, 624, 858, 1144, 1716, 2288, 3432, 6864
The HCF of 6113,6864 is 1.
Lets's calculate GCF of 6113,6864
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6113,6864 By Matching Biggest Common Factor Method
Now, list down the factors of 6113
:1,6113
Now, list down the factors of 6864
:1,2,3,4,6,8,11,12,13,16,22,24,26,33,39,44,48,52,66,78,88,104,132,143,156,176,208,264,286,312,429,528,572,624,858,1144,1716,2288,3432,6864
Greatest Common Factor
We found the factors 6113,6864 . The biggest common factor number is the GCF number.
So the greatest common factor 6113,6864 is 1.
Lets's calculate LCM of 852,6045
| 3 | 852, 6045 |
| 284, 2015 |
∴ So the LCM of the given numbers is 3 x 284 x 2015 = 1716780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1716780
Therefore, the GCF of Fractions 6113/852,6864/6045 is 1/1716780
Least Common Multiple of 852,6045 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 852,6045 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(852,6045) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(852,6045) x common factors =3 x 1 = 3
LCM(852,6045) = ( 852 × 6045 ) / 3
LCM(852,6045) = 5150340 / 3
LCM(852,6045) = 1716780
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FAQs on GCF of Fractions of 6113/852, 6864/6045
1. What is the HCF of 6113,6864?
The HCF of 6113,6864 is 1
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 6113/852, 6864/6045?
Answer: GCF of Numerators as per given numbers 6113/852, 6864/6045 is
GCF of Numerators i.e. for 6113,6864 is 1
LCM of denominators i.e. for 852,6045 is 1716780.
Thus, GCF of Fractions is 1/1716780.Finally, GCF of Fractions for 6113/852, 6864/6045 is 1/1716780.