GCF of 5346/150, 7452/722
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5346/150, 7452/722 i.e 162/54150 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5346/150, 7452/722.
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 5346/150,7452/722?
Given fractions are 5346/150,7452/722
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 5346/150,7452/722, numerators are 5346,7452
Denominators are 150,722
The GCF of 5346,7452 is 162 .
LCM of 150,722 is 54150.
The greatest common factor of 5346/150,7452/722 = [GCF of 5346,7452]/[LCM of 150,722]= 162/54150
Therefore, the GCF of 5346/150,7452/722 is 162/54150.
To find the highest common factor of 5346,7452, we have to find the factors of both numbers and list the highest common factor.
The factors of 5346 are 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 81, 99, 162, 198, 243, 297, 486, 594, 891, 1782, 2673, 5346
The factors of 7452 are 1, 2, 3, 4, 6, 9, 12, 18, 23, 27, 36, 46, 54, 69, 81, 92, 108, 138, 162, 207, 276, 324, 414, 621, 828, 1242, 1863, 2484, 3726, 7452
The HCF of 5346,7452 is 162.
Lets's calculate GCF of 5346,7452
| 2 | 5346, 7452 |
| 3 | 2673, 3726 |
| 3 | 891, 1242 |
| 3 | 297, 414 |
| 3 | 99, 138 |
| 33, 46 |
∴ So the GCF of the given numbers is 2 x 3 x 3 x 3 x 3 = 162
Greatest Common Factor of 5346,7452 By Matching Biggest Common Factor Method
Now, list down the factors of 5346
:1,2,3,6,9,11,18,22,27,33,54,66,81,99,162,198,243,297,486,594,891,1782,2673,5346
Now, list down the factors of 7452
:1,2,3,4,6,9,12,18,23,27,36,46,54,69,81,92,108,138,162,207,276,324,414,621,828,1242,1863,2484,3726,7452
Greatest Common Factor
We found the factors 5346,7452 . The biggest common factor number is the GCF number.
So the greatest common factor 5346,7452 is 162.
Lets's calculate LCM of 150,722
| 2 | 150, 722 |
| 75, 361 |
∴ So the LCM of the given numbers is 2 x 75 x 361 = 54150
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 162/54150
Therefore, the GCF of Fractions 5346/150,7452/722 is 162/54150
Least Common Multiple of 150,722 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 150,722 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(150,722) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(150,722) x common factors =2 x 1 = 2
LCM(150,722) = ( 150 × 722 ) / 2
LCM(150,722) = 108300 / 2
LCM(150,722) = 54150
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5346/150, 7452/722
1. What is the HCF of 5346,7452?
The HCF of 5346,7452 is 162
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 5346/150, 7452/722?
Answer: GCF of Numerators as per given numbers 5346/150, 7452/722 is
GCF of Numerators i.e. for 5346,7452 is 162
LCM of denominators i.e. for 150,722 is 54150.
Thus, GCF of Fractions is 162/54150.Finally, GCF of Fractions for 5346/150, 7452/722 is 162/54150.