GCF of 5697/702, 6669/668
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5697/702, 6669/668 i.e 27/234468 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5697/702, 6669/668.
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 5697/702,6669/668?
Given fractions are 5697/702,6669/668
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 5697/702,6669/668, numerators are 5697,6669
Denominators are 702,668
The GCF of 5697,6669 is 27 .
LCM of 702,668 is 234468.
The greatest common factor of 5697/702,6669/668 = [GCF of 5697,6669]/[LCM of 702,668]= 27/234468
Therefore, the GCF of 5697/702,6669/668 is 27/234468.
To find the highest common factor of 5697,6669, we have to find the factors of both numbers and list the highest common factor.
The factors of 5697 are 1, 3, 9, 27, 211, 633, 1899, 5697
The factors of 6669 are 1, 3, 9, 13, 19, 27, 39, 57, 117, 171, 247, 351, 513, 741, 2223, 6669
The HCF of 5697,6669 is 27.
Lets's calculate GCF of 5697,6669
| 3 | 5697, 6669 |
| 3 | 1899, 2223 |
| 3 | 633, 741 |
| 211, 247 |
∴ So the GCF of the given numbers is 3 x 3 x 3 = 27
Greatest Common Factor of 5697,6669 By Matching Biggest Common Factor Method
Now, list down the factors of 5697
:1,3,9,27,211,633,1899,5697
Now, list down the factors of 6669
:1,3,9,13,19,27,39,57,117,171,247,351,513,741,2223,6669
Greatest Common Factor
We found the factors 5697,6669 . The biggest common factor number is the GCF number.
So the greatest common factor 5697,6669 is 27.
Lets's calculate LCM of 702,668
| 2 | 702, 668 |
| 351, 334 |
∴ So the LCM of the given numbers is 2 x 351 x 334 = 234468
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/234468
Therefore, the GCF of Fractions 5697/702,6669/668 is 27/234468
Least Common Multiple of 702,668 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 702,668 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(702,668) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(702,668) x common factors =2 x 1 = 2
LCM(702,668) = ( 702 × 668 ) / 2
LCM(702,668) = 468936 / 2
LCM(702,668) = 234468
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FAQs on GCF of Fractions of 5697/702, 6669/668
1. What is the HCF of 5697,6669?
The HCF of 5697,6669 is 27
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 5697/702, 6669/668?
Answer: GCF of Numerators as per given numbers 5697/702, 6669/668 is
GCF of Numerators i.e. for 5697,6669 is 27
LCM of denominators i.e. for 702,668 is 234468.
Thus, GCF of Fractions is 27/234468.Finally, GCF of Fractions for 5697/702, 6669/668 is 27/234468.