GCF of 5566/924, 3465/2682
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5566/924, 3465/2682 i.e 11/413028 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5566/924, 3465/2682.
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 5566/924,3465/2682?
Given fractions are 5566/924,3465/2682
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 5566/924,3465/2682, numerators are 5566,3465
Denominators are 924,2682
The GCF of 5566,3465 is 11 .
LCM of 924,2682 is 413028.
The greatest common factor of 5566/924,3465/2682 = [GCF of 5566,3465]/[LCM of 924,2682]= 11/413028
Therefore, the GCF of 5566/924,3465/2682 is 11/413028.
To find the highest common factor of 5566,3465, we have to find the factors of both numbers and list the highest common factor.
The factors of 5566 are 1, 2, 11, 22, 23, 46, 121, 242, 253, 506, 2783, 5566
The factors of 3465 are 1, 3, 5, 7, 9, 11, 15, 21, 33, 35, 45, 55, 63, 77, 99, 105, 165, 231, 315, 385, 495, 693, 1155, 3465
The HCF of 5566,3465 is 11.
Lets's calculate GCF of 5566,3465
| 11 | 5566, 3465 |
| 506, 315 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 5566,3465 By Matching Biggest Common Factor Method
Now, list down the factors of 5566
:1,2,11,22,23,46,121,242,253,506,2783,5566
Now, list down the factors of 3465
:1,3,5,7,9,11,15,21,33,35,45,55,63,77,99,105,165,231,315,385,495,693,1155,3465
Greatest Common Factor
We found the factors 5566,3465 . The biggest common factor number is the GCF number.
So the greatest common factor 5566,3465 is 11.
Lets's calculate LCM of 924,2682
| 2 | 924, 2682 |
| 3 | 462, 1341 |
| 154, 447 |
∴ So the LCM of the given numbers is 2 x 3 x 154 x 447 = 413028
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/413028
Therefore, the GCF of Fractions 5566/924,3465/2682 is 11/413028
Least Common Multiple of 924,2682 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 924,2682 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(924,2682) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(924,2682) x common factors =6 x 1 = 6
LCM(924,2682) = ( 924 × 2682 ) / 6
LCM(924,2682) = 2478168 / 6
LCM(924,2682) = 413028
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FAQs on GCF of Fractions of 5566/924, 3465/2682
1. What is the HCF of 5566,3465?
The HCF of 5566,3465 is 11
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 5566/924, 3465/2682?
Answer: GCF of Numerators as per given numbers 5566/924, 3465/2682 is
GCF of Numerators i.e. for 5566,3465 is 11
LCM of denominators i.e. for 924,2682 is 413028.
Thus, GCF of Fractions is 11/413028.Finally, GCF of Fractions for 5566/924, 3465/2682 is 11/413028.