GCF of 8534/273, 2680/6623
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8534/273, 2680/6623 i.e 2/1808079 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8534/273, 2680/6623.
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 8534/273,2680/6623?
Given fractions are 8534/273,2680/6623
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 8534/273,2680/6623, numerators are 8534,2680
Denominators are 273,6623
The GCF of 8534,2680 is 2 .
LCM of 273,6623 is 1808079.
The greatest common factor of 8534/273,2680/6623 = [GCF of 8534,2680]/[LCM of 273,6623]= 2/1808079
Therefore, the GCF of 8534/273,2680/6623 is 2/1808079.
To find the highest common factor of 8534,2680, we have to find the factors of both numbers and list the highest common factor.
The factors of 8534 are 1, 2, 17, 34, 251, 502, 4267, 8534
The factors of 2680 are 1, 2, 4, 5, 8, 10, 20, 40, 67, 134, 268, 335, 536, 670, 1340, 2680
The HCF of 8534,2680 is 2.
Lets's calculate GCF of 8534,2680
| 2 | 8534, 2680 |
| 4267, 1340 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8534,2680 By Matching Biggest Common Factor Method
Now, list down the factors of 8534
:1,2,17,34,251,502,4267,8534
Now, list down the factors of 2680
:1,2,4,5,8,10,20,40,67,134,268,335,536,670,1340,2680
Greatest Common Factor
We found the factors 8534,2680 . The biggest common factor number is the GCF number.
So the greatest common factor 8534,2680 is 2.
Lets's calculate LCM of 273,6623
Given numbers has no common factors except 1. So, there LCM is their product i.e 1808079
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1808079
Therefore, the GCF of Fractions 8534/273,2680/6623 is 2/1808079
Least Common Multiple of 273,6623 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 273,6623 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(273,6623) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(273,6623) x common factors =1 x 1 = 1
LCM(273,6623) = ( 273 × 6623 ) / 1
LCM(273,6623) = 1808079 / 1
LCM(273,6623) = 1808079
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FAQs on GCF of Fractions of 8534/273, 2680/6623
1. What is the HCF of 8534,2680?
The HCF of 8534,2680 is 2
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 8534/273, 2680/6623?
Answer: GCF of Numerators as per given numbers 8534/273, 2680/6623 is
GCF of Numerators i.e. for 8534,2680 is 2
LCM of denominators i.e. for 273,6623 is 1808079.
Thus, GCF of Fractions is 2/1808079.Finally, GCF of Fractions for 8534/273, 2680/6623 is 2/1808079.