GCF of 2682/341, 7010/8666
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2682/341, 7010/8666 i.e 2/2955106 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2682/341, 7010/8666.
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 2682/341,7010/8666?
Given fractions are 2682/341,7010/8666
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 2682/341,7010/8666, numerators are 2682,7010
Denominators are 341,8666
The GCF of 2682,7010 is 2 .
LCM of 341,8666 is 2955106.
The greatest common factor of 2682/341,7010/8666 = [GCF of 2682,7010]/[LCM of 341,8666]= 2/2955106
Therefore, the GCF of 2682/341,7010/8666 is 2/2955106.
To find the highest common factor of 2682,7010, we have to find the factors of both numbers and list the highest common factor.
The factors of 2682 are 1, 2, 3, 6, 9, 18, 149, 298, 447, 894, 1341, 2682
The factors of 7010 are 1, 2, 5, 10, 701, 1402, 3505, 7010
The HCF of 2682,7010 is 2.
Lets's calculate GCF of 2682,7010
| 2 | 2682, 7010 |
| 1341, 3505 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2682,7010 By Matching Biggest Common Factor Method
Now, list down the factors of 2682
:1,2,3,6,9,18,149,298,447,894,1341,2682
Now, list down the factors of 7010
:1,2,5,10,701,1402,3505,7010
Greatest Common Factor
We found the factors 2682,7010 . The biggest common factor number is the GCF number.
So the greatest common factor 2682,7010 is 2.
Lets's calculate LCM of 341,8666
Given numbers has no common factors except 1. So, there LCM is their product i.e 2955106
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2955106
Therefore, the GCF of Fractions 2682/341,7010/8666 is 2/2955106
Least Common Multiple of 341,8666 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 341,8666 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(341,8666) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(341,8666) x common factors =1 x 1 = 1
LCM(341,8666) = ( 341 × 8666 ) / 1
LCM(341,8666) = 2955106 / 1
LCM(341,8666) = 2955106
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FAQs on GCF of Fractions of 2682/341, 7010/8666
1. What is the HCF of 2682,7010?
The HCF of 2682,7010 is 2
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 2682/341, 7010/8666?
Answer: GCF of Numerators as per given numbers 2682/341, 7010/8666 is
GCF of Numerators i.e. for 2682,7010 is 2
LCM of denominators i.e. for 341,8666 is 2955106.
Thus, GCF of Fractions is 2/2955106.Finally, GCF of Fractions for 2682/341, 7010/8666 is 2/2955106.