GCF of 5304/605, 6697/5615
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5304/605, 6697/5615 i.e 1/679415 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5304/605, 6697/5615.
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 5304/605,6697/5615?
Given fractions are 5304/605,6697/5615
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 5304/605,6697/5615, numerators are 5304,6697
Denominators are 605,5615
The GCF of 5304,6697 is 1 .
LCM of 605,5615 is 679415.
The greatest common factor of 5304/605,6697/5615 = [GCF of 5304,6697]/[LCM of 605,5615]= 1/679415
Therefore, the GCF of 5304/605,6697/5615 is 1/679415.
To find the highest common factor of 5304,6697, we have to find the factors of both numbers and list the highest common factor.
The factors of 5304 are 1, 2, 3, 4, 6, 8, 12, 13, 17, 24, 26, 34, 39, 51, 52, 68, 78, 102, 104, 136, 156, 204, 221, 312, 408, 442, 663, 884, 1326, 1768, 2652, 5304
The factors of 6697 are 1, 37, 181, 6697
The HCF of 5304,6697 is 1.
Lets's calculate GCF of 5304,6697
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5304,6697 By Matching Biggest Common Factor Method
Now, list down the factors of 5304
:1,2,3,4,6,8,12,13,17,24,26,34,39,51,52,68,78,102,104,136,156,204,221,312,408,442,663,884,1326,1768,2652,5304
Now, list down the factors of 6697
:1,37,181,6697
Greatest Common Factor
We found the factors 5304,6697 . The biggest common factor number is the GCF number.
So the greatest common factor 5304,6697 is 1.
Lets's calculate LCM of 605,5615
| 5 | 605, 5615 |
| 121, 1123 |
∴ So the LCM of the given numbers is 5 x 121 x 1123 = 679415
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/679415
Therefore, the GCF of Fractions 5304/605,6697/5615 is 1/679415
Least Common Multiple of 605,5615 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 605,5615 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(605,5615) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(605,5615) x common factors =5 x 1 = 5
LCM(605,5615) = ( 605 × 5615 ) / 5
LCM(605,5615) = 3397075 / 5
LCM(605,5615) = 679415
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FAQs on GCF of Fractions of 5304/605, 6697/5615
1. What is the HCF of 5304,6697?
The HCF of 5304,6697 is 1
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 5304/605, 6697/5615?
Answer: GCF of Numerators as per given numbers 5304/605, 6697/5615 is
GCF of Numerators i.e. for 5304,6697 is 1
LCM of denominators i.e. for 605,5615 is 679415.
Thus, GCF of Fractions is 1/679415.Finally, GCF of Fractions for 5304/605, 6697/5615 is 1/679415.