Use our free GCF of Fractions Calculator tool to compute the GCF of 3154/643, 9769/5243 i.e 1/3371249 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3154/643, 9769/5243.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3154/643,9769/5243
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 3154/643,9769/5243, numerators are 3154,9769
Denominators are 643,5243
The GCF of 3154,9769 is 1 .
LCM of 643,5243 is 3371249.
The greatest common factor of 3154/643,9769/5243 = [GCF of 3154,9769]/[LCM of 643,5243]= 1/3371249
Therefore, the GCF of 3154/643,9769/5243 is 1/3371249.
To find the highest common factor of 3154,9769, we have to find the factors of both numbers and list the highest common factor.
The factors of 3154 are 1, 2, 19, 38, 83, 166, 1577, 3154
The factors of 9769 are 1, 9769
The HCF of 3154,9769 is 1.
Lets's calculate GCF of 3154,9769
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 3154
:1,2,19,38,83,166,1577,3154
Now, list down the factors of 9769
:1,9769
Greatest Common Factor
We found the factors 3154,9769 . The biggest common factor number is the GCF number.
So the greatest common factor 3154,9769 is 1.
Lets's calculate LCM of 643,5243
Given numbers has no common factors except 1. So, there LCM is their product i.e 3371249
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3371249
Therefore, the GCF of Fractions 3154/643,9769/5243 is 1/3371249
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 643,5243 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(643,5243) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(643,5243) x common factors =1 x 1 = 1
LCM(643,5243) = ( 643 × 5243 ) / 1
LCM(643,5243) = 3371249 / 1
LCM(643,5243) = 3371249
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3154,9769?
The HCF of 3154,9769 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 3154/643, 9769/5243?
Answer: GCF of Numerators as per given numbers 3154/643, 9769/5243 is
GCF of Numerators i.e. for 3154,9769 is 1
LCM of denominators i.e. for 643,5243 is 3371249.
Thus, GCF of Fractions is 1/3371249.Finally, GCF of Fractions for 3154/643, 9769/5243 is 1/3371249.