GCF of 5526/674, 2697/8469
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5526/674, 2697/8469 i.e 3/5708106 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5526/674, 2697/8469.
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 5526/674,2697/8469?
Given fractions are 5526/674,2697/8469
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 5526/674,2697/8469, numerators are 5526,2697
Denominators are 674,8469
The GCF of 5526,2697 is 3 .
LCM of 674,8469 is 5708106.
The greatest common factor of 5526/674,2697/8469 = [GCF of 5526,2697]/[LCM of 674,8469]= 3/5708106
Therefore, the GCF of 5526/674,2697/8469 is 3/5708106.
To find the highest common factor of 5526,2697, we have to find the factors of both numbers and list the highest common factor.
The factors of 5526 are 1, 2, 3, 6, 9, 18, 307, 614, 921, 1842, 2763, 5526
The factors of 2697 are 1, 3, 29, 31, 87, 93, 899, 2697
The HCF of 5526,2697 is 3.
Lets's calculate GCF of 5526,2697
| 3 | 5526, 2697 |
| 1842, 899 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5526,2697 By Matching Biggest Common Factor Method
Now, list down the factors of 5526
:1,2,3,6,9,18,307,614,921,1842,2763,5526
Now, list down the factors of 2697
:1,3,29,31,87,93,899,2697
Greatest Common Factor
We found the factors 5526,2697 . The biggest common factor number is the GCF number.
So the greatest common factor 5526,2697 is 3.
Lets's calculate LCM of 674,8469
Given numbers has no common factors except 1. So, there LCM is their product i.e 5708106
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5708106
Therefore, the GCF of Fractions 5526/674,2697/8469 is 3/5708106
Least Common Multiple of 674,8469 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 674,8469 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(674,8469) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(674,8469) x common factors =1 x 1 = 1
LCM(674,8469) = ( 674 × 8469 ) / 1
LCM(674,8469) = 5708106 / 1
LCM(674,8469) = 5708106
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FAQs on GCF of Fractions of 5526/674, 2697/8469
1. What is the HCF of 5526,2697?
The HCF of 5526,2697 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 5526/674, 2697/8469?
Answer: GCF of Numerators as per given numbers 5526/674, 2697/8469 is
GCF of Numerators i.e. for 5526,2697 is 3
LCM of denominators i.e. for 674,8469 is 5708106.
Thus, GCF of Fractions is 3/5708106.Finally, GCF of Fractions for 5526/674, 2697/8469 is 3/5708106.