GCF of 6698/899, 6868/7133
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6698/899, 6868/7133 i.e 34/6412567 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6698/899, 6868/7133.
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 6698/899,6868/7133?
Given fractions are 6698/899,6868/7133
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 6698/899,6868/7133, numerators are 6698,6868
Denominators are 899,7133
The GCF of 6698,6868 is 34 .
LCM of 899,7133 is 6412567.
The greatest common factor of 6698/899,6868/7133 = [GCF of 6698,6868]/[LCM of 899,7133]= 34/6412567
Therefore, the GCF of 6698/899,6868/7133 is 34/6412567.
To find the highest common factor of 6698,6868, we have to find the factors of both numbers and list the highest common factor.
The factors of 6698 are 1, 2, 17, 34, 197, 394, 3349, 6698
The factors of 6868 are 1, 2, 4, 17, 34, 68, 101, 202, 404, 1717, 3434, 6868
The HCF of 6698,6868 is 34.
Lets's calculate GCF of 6698,6868
| 2 | 6698, 6868 |
| 17 | 3349, 3434 |
| 197, 202 |
∴ So the GCF of the given numbers is 2 x 17 = 34
Greatest Common Factor of 6698,6868 By Matching Biggest Common Factor Method
Now, list down the factors of 6698
:1,2,17,34,197,394,3349,6698
Now, list down the factors of 6868
:1,2,4,17,34,68,101,202,404,1717,3434,6868
Greatest Common Factor
We found the factors 6698,6868 . The biggest common factor number is the GCF number.
So the greatest common factor 6698,6868 is 34.
Lets's calculate LCM of 899,7133
Given numbers has no common factors except 1. So, there LCM is their product i.e 6412567
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 34/6412567
Therefore, the GCF of Fractions 6698/899,6868/7133 is 34/6412567
Least Common Multiple of 899,7133 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 899,7133 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(899,7133) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(899,7133) x common factors =1 x 1 = 1
LCM(899,7133) = ( 899 × 7133 ) / 1
LCM(899,7133) = 6412567 / 1
LCM(899,7133) = 6412567
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FAQs on GCF of Fractions of 6698/899, 6868/7133
1. What is the HCF of 6698,6868?
The HCF of 6698,6868 is 34
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 6698/899, 6868/7133?
Answer: GCF of Numerators as per given numbers 6698/899, 6868/7133 is
GCF of Numerators i.e. for 6698,6868 is 34
LCM of denominators i.e. for 899,7133 is 6412567.
Thus, GCF of Fractions is 34/6412567.Finally, GCF of Fractions for 6698/899, 6868/7133 is 34/6412567.