GCF of 6700/311, 7718/6709
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6700/311, 7718/6709 i.e 2/2086499 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6700/311, 7718/6709.
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 6700/311,7718/6709?
Given fractions are 6700/311,7718/6709
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 6700/311,7718/6709, numerators are 6700,7718
Denominators are 311,6709
The GCF of 6700,7718 is 2 .
LCM of 311,6709 is 2086499.
The greatest common factor of 6700/311,7718/6709 = [GCF of 6700,7718]/[LCM of 311,6709]= 2/2086499
Therefore, the GCF of 6700/311,7718/6709 is 2/2086499.
To find the highest common factor of 6700,7718, 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 7718 are 1, 2, 17, 34, 227, 454, 3859, 7718
The HCF of 6700,7718 is 2.
Lets's calculate GCF of 6700,7718
| 2 | 6700, 7718 |
| 3350, 3859 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6700,7718 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 7718
:1,2,17,34,227,454,3859,7718
Greatest Common Factor
We found the factors 6700,7718 . The biggest common factor number is the GCF number.
So the greatest common factor 6700,7718 is 2.
Lets's calculate LCM of 311,6709
Given numbers has no common factors except 1. So, there LCM is their product i.e 2086499
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2086499
Therefore, the GCF of Fractions 6700/311,7718/6709 is 2/2086499
Least Common Multiple of 311,6709 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 311,6709 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(311,6709) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(311,6709) x common factors =1 x 1 = 1
LCM(311,6709) = ( 311 × 6709 ) / 1
LCM(311,6709) = 2086499 / 1
LCM(311,6709) = 2086499
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FAQs on GCF of Fractions of 6700/311, 7718/6709
1. What is the HCF of 6700,7718?
The HCF of 6700,7718 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 6700/311, 7718/6709?
Answer: GCF of Numerators as per given numbers 6700/311, 7718/6709 is
GCF of Numerators i.e. for 6700,7718 is 2
LCM of denominators i.e. for 311,6709 is 2086499.
Thus, GCF of Fractions is 2/2086499.Finally, GCF of Fractions for 6700/311, 7718/6709 is 2/2086499.