GCF of 8493/241, 7104/689
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8493/241, 7104/689 i.e 3/166049 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8493/241, 7104/689.
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 8493/241,7104/689?
Given fractions are 8493/241,7104/689
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 8493/241,7104/689, numerators are 8493,7104
Denominators are 241,689
The GCF of 8493,7104 is 3 .
LCM of 241,689 is 166049.
The greatest common factor of 8493/241,7104/689 = [GCF of 8493,7104]/[LCM of 241,689]= 3/166049
Therefore, the GCF of 8493/241,7104/689 is 3/166049.
To find the highest common factor of 8493,7104, we have to find the factors of both numbers and list the highest common factor.
The factors of 8493 are 1, 3, 19, 57, 149, 447, 2831, 8493
The factors of 7104 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 37, 48, 64, 74, 96, 111, 148, 192, 222, 296, 444, 592, 888, 1184, 1776, 2368, 3552, 7104
The HCF of 8493,7104 is 3.
Lets's calculate GCF of 8493,7104
| 3 | 8493, 7104 |
| 2831, 2368 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8493,7104 By Matching Biggest Common Factor Method
Now, list down the factors of 8493
:1,3,19,57,149,447,2831,8493
Now, list down the factors of 7104
:1,2,3,4,6,8,12,16,24,32,37,48,64,74,96,111,148,192,222,296,444,592,888,1184,1776,2368,3552,7104
Greatest Common Factor
We found the factors 8493,7104 . The biggest common factor number is the GCF number.
So the greatest common factor 8493,7104 is 3.
Lets's calculate LCM of 241,689
Given numbers has no common factors except 1. So, there LCM is their product i.e 166049
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/166049
Therefore, the GCF of Fractions 8493/241,7104/689 is 3/166049
Least Common Multiple of 241,689 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 241,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(241,689) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(241,689) x common factors =1 x 1 = 1
LCM(241,689) = ( 241 × 689 ) / 1
LCM(241,689) = 166049 / 1
LCM(241,689) = 166049
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FAQs on GCF of Fractions of 8493/241, 7104/689
1. What is the HCF of 8493,7104?
The HCF of 8493,7104 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 8493/241, 7104/689?
Answer: GCF of Numerators as per given numbers 8493/241, 7104/689 is
GCF of Numerators i.e. for 8493,7104 is 3
LCM of denominators i.e. for 241,689 is 166049.
Thus, GCF of Fractions is 3/166049.Finally, GCF of Fractions for 8493/241, 7104/689 is 3/166049.