GCF of 714/524, 824/381, 161/655
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 714/524, 824/381, 161/655 i.e 1/998220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 714/524, 824/381, 161/655.
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 714/524,824/381,161/655?
Given fractions are 714/524,824/381,161/655
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 714/524,824/381,161/655, numerators are 714,824,161
Denominators are 524,381,655
The GCF of 714,824,161 is 1 .
LCM of 524,381,655 is 998220.
The greatest common factor of 714/524,824/381,161/655 = [GCF of 714,824,161]/[LCM of 524,381,655]= 1/998220
Therefore, the GCF of 714/524,824/381,161/655 is 1/998220.
To find the highest common factor of 714,824,161, we have to find the factors of both numbers and list the highest common factor.
The factors of 714 are 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
The factors of 824 are 1, 2, 4, 8, 103, 206, 412, 824
The factors of 161 are 1, 7, 23, 161
The HCF of 714,824,161 is 1.
Lets's calculate GCF of 714,824,161
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 714,824,161 By Matching Biggest Common Factor Method
Now, list down the factors of 714
:1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714
Now, list down the factors of 824
:1,2,4,8,103,206,412,824
Now, list down the factors of 161
:1,7,23,161
Greatest Common Factor
We found the factors 714,824,161 . The biggest common factor number is the GCF number.
So the greatest common factor 714,824,161 is 1.
Lets's calculate LCM of 524,381,655
| 131 | 524, 381, 655 |
| 4, 381, 5 |
∴ So the LCM of the given numbers is 131 x 4 x 381 x 5 = 998220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/998220
Therefore, the GCF of Fractions 714/524,824/381,161/655 is 1/998220
Least Common Multiple of 524,381,655 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 524,381,655 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(524,381,655) = 1
common factors(in case of two or more numbers have common factors) = 131
GCF(524,381,655) x common factors =1 x 131 = 131
LCM(524,381,655) = ( 524 × 381 × 655 ) / 131
LCM(524,381,655) = 130766820 / 131
LCM(524,381,655) = 998220
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 714/524, 824/381, 161/655
1. What is the HCF of 714,824,161?
The HCF of 714,824,161 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 714/524, 824/381, 161/655?
Answer: GCF of Numerators as per given numbers 714/524, 824/381, 161/655 is
GCF of Numerators i.e. for 714,824,161 is 1
LCM of denominators i.e. for 524,381,655 is 998220.
Thus, GCF of Fractions is 1/998220.Finally, GCF of Fractions for 714/524, 824/381, 161/655 is 1/998220.