GCF of 8602/979, 6864/8569
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8602/979, 6864/8569 i.e 22/762641 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8602/979, 6864/8569.
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 8602/979,6864/8569?
Given fractions are 8602/979,6864/8569
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 8602/979,6864/8569, numerators are 8602,6864
Denominators are 979,8569
The GCF of 8602,6864 is 22 .
LCM of 979,8569 is 762641.
The greatest common factor of 8602/979,6864/8569 = [GCF of 8602,6864]/[LCM of 979,8569]= 22/762641
Therefore, the GCF of 8602/979,6864/8569 is 22/762641.
To find the highest common factor of 8602,6864, we have to find the factors of both numbers and list the highest common factor.
The factors of 8602 are 1, 2, 11, 17, 22, 23, 34, 46, 187, 253, 374, 391, 506, 782, 4301, 8602
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 8602,6864 is 22.
Lets's calculate GCF of 8602,6864
| 2 | 8602, 6864 |
| 11 | 4301, 3432 |
| 391, 312 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Greatest Common Factor of 8602,6864 By Matching Biggest Common Factor Method
Now, list down the factors of 8602
:1,2,11,17,22,23,34,46,187,253,374,391,506,782,4301,8602
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 8602,6864 . The biggest common factor number is the GCF number.
So the greatest common factor 8602,6864 is 22.
Lets's calculate LCM of 979,8569
| 11 | 979, 8569 |
| 89, 779 |
∴ So the LCM of the given numbers is 11 x 89 x 779 = 762641
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/762641
Therefore, the GCF of Fractions 8602/979,6864/8569 is 22/762641
Least Common Multiple of 979,8569 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 979,8569 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(979,8569) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(979,8569) x common factors =11 x 1 = 11
LCM(979,8569) = ( 979 × 8569 ) / 11
LCM(979,8569) = 8389051 / 11
LCM(979,8569) = 762641
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 8602/979, 6864/8569
1. What is the HCF of 8602,6864?
The HCF of 8602,6864 is 22
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 8602/979, 6864/8569?
Answer: GCF of Numerators as per given numbers 8602/979, 6864/8569 is
GCF of Numerators i.e. for 8602,6864 is 22
LCM of denominators i.e. for 979,8569 is 762641.
Thus, GCF of Fractions is 22/762641.Finally, GCF of Fractions for 8602/979, 6864/8569 is 22/762641.