GCF of 8601/824, 6189/752
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8601/824, 6189/752 i.e 3/77456 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8601/824, 6189/752.
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 8601/824,6189/752?
Given fractions are 8601/824,6189/752
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 8601/824,6189/752, numerators are 8601,6189
Denominators are 824,752
The GCF of 8601,6189 is 3 .
LCM of 824,752 is 77456.
The greatest common factor of 8601/824,6189/752 = [GCF of 8601,6189]/[LCM of 824,752]= 3/77456
Therefore, the GCF of 8601/824,6189/752 is 3/77456.
To find the highest common factor of 8601,6189, we have to find the factors of both numbers and list the highest common factor.
The factors of 8601 are 1, 3, 47, 61, 141, 183, 2867, 8601
The factors of 6189 are 1, 3, 2063, 6189
The HCF of 8601,6189 is 3.
Lets's calculate GCF of 8601,6189
| 3 | 8601, 6189 |
| 2867, 2063 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8601,6189 By Matching Biggest Common Factor Method
Now, list down the factors of 8601
:1,3,47,61,141,183,2867,8601
Now, list down the factors of 6189
:1,3,2063,6189
Greatest Common Factor
We found the factors 8601,6189 . The biggest common factor number is the GCF number.
So the greatest common factor 8601,6189 is 3.
Lets's calculate LCM of 824,752
| 2 | 824, 752 |
| 2 | 412, 376 |
| 2 | 206, 188 |
| 103, 94 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 103 x 94 = 77456
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/77456
Therefore, the GCF of Fractions 8601/824,6189/752 is 3/77456
Least Common Multiple of 824,752 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 824,752 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(824,752) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(824,752) x common factors =8 x 1 = 8
LCM(824,752) = ( 824 × 752 ) / 8
LCM(824,752) = 619648 / 8
LCM(824,752) = 77456
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FAQs on GCF of Fractions of 8601/824, 6189/752
1. What is the HCF of 8601,6189?
The HCF of 8601,6189 is 3
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 8601/824, 6189/752?
Answer: GCF of Numerators as per given numbers 8601/824, 6189/752 is
GCF of Numerators i.e. for 8601,6189 is 3
LCM of denominators i.e. for 824,752 is 77456.
Thus, GCF of Fractions is 3/77456.Finally, GCF of Fractions for 8601/824, 6189/752 is 3/77456.