Use our free GCF of Fractions Calculator tool to compute the GCF of 5482/205, 1781/7601 i.e 1/1558205 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5482/205, 1781/7601.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5482/205,1781/7601
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 5482/205,1781/7601, numerators are 5482,1781
Denominators are 205,7601
The GCF of 5482,1781 is 1 .
LCM of 205,7601 is 1558205.
The greatest common factor of 5482/205,1781/7601 = [GCF of 5482,1781]/[LCM of 205,7601]= 1/1558205
Therefore, the GCF of 5482/205,1781/7601 is 1/1558205.
To find the highest common factor of 5482,1781, we have to find the factors of both numbers and list the highest common factor.
The factors of 5482 are 1, 2, 2741, 5482
The factors of 1781 are 1, 13, 137, 1781
The HCF of 5482,1781 is 1.
Lets's calculate GCF of 5482,1781
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 5482
:1,2,2741,5482
Now, list down the factors of 1781
:1,13,137,1781
Greatest Common Factor
We found the factors 5482,1781 . The biggest common factor number is the GCF number.
So the greatest common factor 5482,1781 is 1.
Lets's calculate LCM of 205,7601
Given numbers has no common factors except 1. So, there LCM is their product i.e 1558205
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1558205
Therefore, the GCF of Fractions 5482/205,1781/7601 is 1/1558205
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 205,7601 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(205,7601) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(205,7601) x common factors =1 x 1 = 1
LCM(205,7601) = ( 205 × 7601 ) / 1
LCM(205,7601) = 1558205 / 1
LCM(205,7601) = 1558205
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5482,1781?
The HCF of 5482,1781 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 5482/205, 1781/7601?
Answer: GCF of Numerators as per given numbers 5482/205, 1781/7601 is
GCF of Numerators i.e. for 5482,1781 is 1
LCM of denominators i.e. for 205,7601 is 1558205.
Thus, GCF of Fractions is 1/1558205.Finally, GCF of Fractions for 5482/205, 1781/7601 is 1/1558205.