GCF of 2665/293, 6725/8974
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2665/293, 6725/8974 i.e 5/2629382 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2665/293, 6725/8974.
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 2665/293,6725/8974?
Given fractions are 2665/293,6725/8974
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 2665/293,6725/8974, numerators are 2665,6725
Denominators are 293,8974
The GCF of 2665,6725 is 5 .
LCM of 293,8974 is 2629382.
The greatest common factor of 2665/293,6725/8974 = [GCF of 2665,6725]/[LCM of 293,8974]= 5/2629382
Therefore, the GCF of 2665/293,6725/8974 is 5/2629382.
To find the highest common factor of 2665,6725, we have to find the factors of both numbers and list the highest common factor.
The factors of 2665 are 1, 5, 13, 41, 65, 205, 533, 2665
The factors of 6725 are 1, 5, 25, 269, 1345, 6725
The HCF of 2665,6725 is 5.
Lets's calculate GCF of 2665,6725
| 5 | 2665, 6725 |
| 533, 1345 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 2665,6725 By Matching Biggest Common Factor Method
Now, list down the factors of 2665
:1,5,13,41,65,205,533,2665
Now, list down the factors of 6725
:1,5,25,269,1345,6725
Greatest Common Factor
We found the factors 2665,6725 . The biggest common factor number is the GCF number.
So the greatest common factor 2665,6725 is 5.
Lets's calculate LCM of 293,8974
Given numbers has no common factors except 1. So, there LCM is their product i.e 2629382
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2629382
Therefore, the GCF of Fractions 2665/293,6725/8974 is 5/2629382
Least Common Multiple of 293,8974 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 293,8974 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(293,8974) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(293,8974) x common factors =1 x 1 = 1
LCM(293,8974) = ( 293 × 8974 ) / 1
LCM(293,8974) = 2629382 / 1
LCM(293,8974) = 2629382
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FAQs on GCF of Fractions of 2665/293, 6725/8974
1. What is the HCF of 2665,6725?
The HCF of 2665,6725 is 5
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 2665/293, 6725/8974?
Answer: GCF of Numerators as per given numbers 2665/293, 6725/8974 is
GCF of Numerators i.e. for 2665,6725 is 5
LCM of denominators i.e. for 293,8974 is 2629382.
Thus, GCF of Fractions is 5/2629382.Finally, GCF of Fractions for 2665/293, 6725/8974 is 5/2629382.