GCF of 6692/109, 6568/3598
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6692/109, 6568/3598 i.e 4/392182 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6692/109, 6568/3598.
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 6692/109,6568/3598?
Given fractions are 6692/109,6568/3598
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 6692/109,6568/3598, numerators are 6692,6568
Denominators are 109,3598
The GCF of 6692,6568 is 4 .
LCM of 109,3598 is 392182.
The greatest common factor of 6692/109,6568/3598 = [GCF of 6692,6568]/[LCM of 109,3598]= 4/392182
Therefore, the GCF of 6692/109,6568/3598 is 4/392182.
To find the highest common factor of 6692,6568, we have to find the factors of both numbers and list the highest common factor.
The factors of 6692 are 1, 2, 4, 7, 14, 28, 239, 478, 956, 1673, 3346, 6692
The factors of 6568 are 1, 2, 4, 8, 821, 1642, 3284, 6568
The HCF of 6692,6568 is 4.
Lets's calculate GCF of 6692,6568
| 2 | 6692, 6568 |
| 2 | 3346, 3284 |
| 1673, 1642 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 6692,6568 By Matching Biggest Common Factor Method
Now, list down the factors of 6692
:1,2,4,7,14,28,239,478,956,1673,3346,6692
Now, list down the factors of 6568
:1,2,4,8,821,1642,3284,6568
Greatest Common Factor
We found the factors 6692,6568 . The biggest common factor number is the GCF number.
So the greatest common factor 6692,6568 is 4.
Lets's calculate LCM of 109,3598
Given numbers has no common factors except 1. So, there LCM is their product i.e 392182
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/392182
Therefore, the GCF of Fractions 6692/109,6568/3598 is 4/392182
Least Common Multiple of 109,3598 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 109,3598 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(109,3598) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(109,3598) x common factors =1 x 1 = 1
LCM(109,3598) = ( 109 × 3598 ) / 1
LCM(109,3598) = 392182 / 1
LCM(109,3598) = 392182
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FAQs on GCF of Fractions of 6692/109, 6568/3598
1. What is the HCF of 6692,6568?
The HCF of 6692,6568 is 4
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 6692/109, 6568/3598?
Answer: GCF of Numerators as per given numbers 6692/109, 6568/3598 is
GCF of Numerators i.e. for 6692,6568 is 4
LCM of denominators i.e. for 109,3598 is 392182.
Thus, GCF of Fractions is 4/392182.Finally, GCF of Fractions for 6692/109, 6568/3598 is 4/392182.