Use our free GCF of Fractions Calculator tool to compute the GCF of 61/552, 424/540, 117/122 i.e 1/1515240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 61/552, 424/540, 117/122.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 61/552,424/540,117/122
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 61/552,424/540,117/122, numerators are 61,424,117
Denominators are 552,540,122
The GCF of 61,424,117 is 1 .
LCM of 552,540,122 is 1515240.
The greatest common factor of 61/552,424/540,117/122 = [GCF of 61,424,117]/[LCM of 552,540,122]= 1/1515240
Therefore, the GCF of 61/552,424/540,117/122 is 1/1515240.
To find the highest common factor of 61,424,117, we have to find the factors of both numbers and list the highest common factor.
The factors of 61 are 1, 61
The factors of 424 are 1, 2, 4, 8, 53, 106, 212, 424
The factors of 117 are 1, 3, 9, 13, 39, 117
The HCF of 61,424,117 is 1.
Lets's calculate GCF of 61,424,117
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 61
:1,61
Now, list down the factors of 424
:1,2,4,8,53,106,212,424
Now, list down the factors of 117
:1,3,9,13,39,117
Greatest Common Factor
We found the factors 61,424,117 . The biggest common factor number is the GCF number.
So the greatest common factor 61,424,117 is 1.
Lets's calculate LCM of 552,540,122
2 | 552, 540, 122 |
2 | 276, 270, 61 |
3 | 138, 135, 61 |
46, 45, 61 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 46 x 45 x 61 = 1515240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1515240
Therefore, the GCF of Fractions 61/552,424/540,117/122 is 1/1515240
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 552,540,122 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(552,540,122) = 2
common factors(in case of two or more numbers have common factors) = 12
GCF(552,540,122) x common factors =2 x 12 = 24
LCM(552,540,122) = ( 552 × 540 × 122 ) / 24
LCM(552,540,122) = 36365760 / 24
LCM(552,540,122) = 1515240
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 61,424,117?
The HCF of 61,424,117 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 61/552, 424/540, 117/122?
Answer: GCF of Numerators as per given numbers 61/552, 424/540, 117/122 is
GCF of Numerators i.e. for 61,424,117 is 1
LCM of denominators i.e. for 552,540,122 is 1515240.
Thus, GCF of Fractions is 1/1515240.Finally, GCF of Fractions for 61/552, 424/540, 117/122 is 1/1515240.