GCF of 7909/127, 9683/6858
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7909/127, 9683/6858 i.e 1/6858 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7909/127, 9683/6858.
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 7909/127,9683/6858?
Given fractions are 7909/127,9683/6858
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 7909/127,9683/6858, numerators are 7909,9683
Denominators are 127,6858
The GCF of 7909,9683 is 1 .
LCM of 127,6858 is 6858.
The greatest common factor of 7909/127,9683/6858 = [GCF of 7909,9683]/[LCM of 127,6858]= 1/6858
Therefore, the GCF of 7909/127,9683/6858 is 1/6858.
To find the highest common factor of 7909,9683, we have to find the factors of both numbers and list the highest common factor.
The factors of 7909 are 1, 11, 719, 7909
The factors of 9683 are 1, 23, 421, 9683
The HCF of 7909,9683 is 1.
Lets's calculate GCF of 7909,9683
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7909,9683 By Matching Biggest Common Factor Method
Now, list down the factors of 7909
:1,11,719,7909
Now, list down the factors of 9683
:1,23,421,9683
Greatest Common Factor
We found the factors 7909,9683 . The biggest common factor number is the GCF number.
So the greatest common factor 7909,9683 is 1.
Lets's calculate LCM of 127,6858
| 127 | 127, 6858 |
| 1, 54 |
∴ So the LCM of the given numbers is 127 x 1 x 54 = 6858
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6858
Therefore, the GCF of Fractions 7909/127,9683/6858 is 1/6858
Least Common Multiple of 127,6858 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 127,6858 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(127,6858) = 127
common factors(in case of two or more numbers have common factors) = 1
GCF(127,6858) x common factors =127 x 1 = 127
LCM(127,6858) = ( 127 × 6858 ) / 127
LCM(127,6858) = 870966 / 127
LCM(127,6858) = 6858
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FAQs on GCF of Fractions of 7909/127, 9683/6858
1. What is the HCF of 7909,9683?
The HCF of 7909,9683 is 1
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 7909/127, 9683/6858?
Answer: GCF of Numerators as per given numbers 7909/127, 9683/6858 is
GCF of Numerators i.e. for 7909,9683 is 1
LCM of denominators i.e. for 127,6858 is 6858.
Thus, GCF of Fractions is 1/6858.Finally, GCF of Fractions for 7909/127, 9683/6858 is 1/6858.