GCF of 8541/421, 6864/6602
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8541/421, 6864/6602 i.e 39/2779442 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8541/421, 6864/6602.
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 8541/421,6864/6602?
Given fractions are 8541/421,6864/6602
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 8541/421,6864/6602, numerators are 8541,6864
Denominators are 421,6602
The GCF of 8541,6864 is 39 .
LCM of 421,6602 is 2779442.
The greatest common factor of 8541/421,6864/6602 = [GCF of 8541,6864]/[LCM of 421,6602]= 39/2779442
Therefore, the GCF of 8541/421,6864/6602 is 39/2779442.
To find the highest common factor of 8541,6864, we have to find the factors of both numbers and list the highest common factor.
The factors of 8541 are 1, 3, 9, 13, 39, 73, 117, 219, 657, 949, 2847, 8541
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 8541,6864 is 39.
Lets's calculate GCF of 8541,6864
| 3 | 8541, 6864 |
| 13 | 2847, 2288 |
| 219, 176 |
∴ So the GCF of the given numbers is 3 x 13 = 39
Greatest Common Factor of 8541,6864 By Matching Biggest Common Factor Method
Now, list down the factors of 8541
:1,3,9,13,39,73,117,219,657,949,2847,8541
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 8541,6864 . The biggest common factor number is the GCF number.
So the greatest common factor 8541,6864 is 39.
Lets's calculate LCM of 421,6602
Given numbers has no common factors except 1. So, there LCM is their product i.e 2779442
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 39/2779442
Therefore, the GCF of Fractions 8541/421,6864/6602 is 39/2779442
Least Common Multiple of 421,6602 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 421,6602 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(421,6602) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(421,6602) x common factors =1 x 1 = 1
LCM(421,6602) = ( 421 × 6602 ) / 1
LCM(421,6602) = 2779442 / 1
LCM(421,6602) = 2779442
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8541/421, 6864/6602
1. What is the HCF of 8541,6864?
The HCF of 8541,6864 is 39
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 8541/421, 6864/6602?
Answer: GCF of Numerators as per given numbers 8541/421, 6864/6602 is
GCF of Numerators i.e. for 8541,6864 is 39
LCM of denominators i.e. for 421,6602 is 2779442.
Thus, GCF of Fractions is 39/2779442.Finally, GCF of Fractions for 8541/421, 6864/6602 is 39/2779442.