GCF of 6700/861, 2986/3240
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6700/861, 2986/3240 i.e 2/929880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6700/861, 2986/3240.
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 6700/861,2986/3240?
Given fractions are 6700/861,2986/3240
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 6700/861,2986/3240, numerators are 6700,2986
Denominators are 861,3240
The GCF of 6700,2986 is 2 .
LCM of 861,3240 is 929880.
The greatest common factor of 6700/861,2986/3240 = [GCF of 6700,2986]/[LCM of 861,3240]= 2/929880
Therefore, the GCF of 6700/861,2986/3240 is 2/929880.
To find the highest common factor of 6700,2986, we have to find the factors of both numbers and list the highest common factor.
The factors of 6700 are 1, 2, 4, 5, 10, 20, 25, 50, 67, 100, 134, 268, 335, 670, 1340, 1675, 3350, 6700
The factors of 2986 are 1, 2, 1493, 2986
The HCF of 6700,2986 is 2.
Lets's calculate GCF of 6700,2986
| 2 | 6700, 2986 |
| 3350, 1493 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6700,2986 By Matching Biggest Common Factor Method
Now, list down the factors of 6700
:1,2,4,5,10,20,25,50,67,100,134,268,335,670,1340,1675,3350,6700
Now, list down the factors of 2986
:1,2,1493,2986
Greatest Common Factor
We found the factors 6700,2986 . The biggest common factor number is the GCF number.
So the greatest common factor 6700,2986 is 2.
Lets's calculate LCM of 861,3240
| 3 | 861, 3240 |
| 287, 1080 |
∴ So the LCM of the given numbers is 3 x 287 x 1080 = 929880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/929880
Therefore, the GCF of Fractions 6700/861,2986/3240 is 2/929880
Least Common Multiple of 861,3240 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 861,3240 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(861,3240) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(861,3240) x common factors =3 x 1 = 3
LCM(861,3240) = ( 861 × 3240 ) / 3
LCM(861,3240) = 2789640 / 3
LCM(861,3240) = 929880
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FAQs on GCF of Fractions of 6700/861, 2986/3240
1. What is the HCF of 6700,2986?
The HCF of 6700,2986 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 6700/861, 2986/3240?
Answer: GCF of Numerators as per given numbers 6700/861, 2986/3240 is
GCF of Numerators i.e. for 6700,2986 is 2
LCM of denominators i.e. for 861,3240 is 929880.
Thus, GCF of Fractions is 2/929880.Finally, GCF of Fractions for 6700/861, 2986/3240 is 2/929880.