Use our free GCF of Fractions Calculator tool to compute the GCF of 7954/883, 6939/3429 i.e 1/3027807 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7954/883, 6939/3429.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7954/883,6939/3429
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 7954/883,6939/3429, numerators are 7954,6939
Denominators are 883,3429
The GCF of 7954,6939 is 1 .
LCM of 883,3429 is 3027807.
The greatest common factor of 7954/883,6939/3429 = [GCF of 7954,6939]/[LCM of 883,3429]= 1/3027807
Therefore, the GCF of 7954/883,6939/3429 is 1/3027807.
To find the highest common factor of 7954,6939, we have to find the factors of both numbers and list the highest common factor.
The factors of 7954 are 1, 2, 41, 82, 97, 194, 3977, 7954
The factors of 6939 are 1, 3, 9, 27, 257, 771, 2313, 6939
The HCF of 7954,6939 is 1.
Lets's calculate GCF of 7954,6939
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 7954
:1,2,41,82,97,194,3977,7954
Now, list down the factors of 6939
:1,3,9,27,257,771,2313,6939
Greatest Common Factor
We found the factors 7954,6939 . The biggest common factor number is the GCF number.
So the greatest common factor 7954,6939 is 1.
Lets's calculate LCM of 883,3429
Given numbers has no common factors except 1. So, there LCM is their product i.e 3027807
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3027807
Therefore, the GCF of Fractions 7954/883,6939/3429 is 1/3027807
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 883,3429 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(883,3429) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(883,3429) x common factors =1 x 1 = 1
LCM(883,3429) = ( 883 × 3429 ) / 1
LCM(883,3429) = 3027807 / 1
LCM(883,3429) = 3027807
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7954,6939?
The HCF of 7954,6939 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 7954/883, 6939/3429?
Answer: GCF of Numerators as per given numbers 7954/883, 6939/3429 is
GCF of Numerators i.e. for 7954,6939 is 1
LCM of denominators i.e. for 883,3429 is 3027807.
Thus, GCF of Fractions is 1/3027807.Finally, GCF of Fractions for 7954/883, 6939/3429 is 1/3027807.