GCF of 352/97, 724/81, 206/174
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 352/97, 724/81, 206/174 i.e 2/455706 easily. The following is the detailed procedure to determine the greatest common factor of fractions 352/97, 724/81, 206/174.
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 352/97,724/81,206/174?
Given fractions are 352/97,724/81,206/174
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 352/97,724/81,206/174, numerators are 352,724,206
Denominators are 97,81,174
The GCF of 352,724,206 is 2 .
LCM of 97,81,174 is 455706.
The greatest common factor of 352/97,724/81,206/174 = [GCF of 352,724,206]/[LCM of 97,81,174]= 2/455706
Therefore, the GCF of 352/97,724/81,206/174 is 2/455706.
To find the highest common factor of 352,724,206, we have to find the factors of both numbers and list the highest common factor.
The factors of 352 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
The factors of 724 are 1, 2, 4, 181, 362, 724
The factors of 206 are 1, 2, 103, 206
The HCF of 352,724,206 is 2.
Lets's calculate GCF of 352,724,206
| 2 | 352, 724, 206 |
| 176, 362, 103 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 352,724,206 By Matching Biggest Common Factor Method
Now, list down the factors of 352
:1,2,4,8,11,16,22,32,44,88,176,352
Now, list down the factors of 724
:1,2,4,181,362,724
Now, list down the factors of 206
:1,2,103,206
Greatest Common Factor
We found the factors 352,724,206 . The biggest common factor number is the GCF number.
So the greatest common factor 352,724,206 is 2.
Lets's calculate LCM of 97,81,174
| 3 | 97, 81, 174 |
| 97, 27, 58 |
∴ So the LCM of the given numbers is 3 x 97 x 27 x 58 = 455706
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/455706
Therefore, the GCF of Fractions 352/97,724/81,206/174 is 2/455706
Least Common Multiple of 97,81,174 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 97,81,174 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,81,174) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(97,81,174) x common factors =1 x 3 = 3
LCM(97,81,174) = ( 97 × 81 × 174 ) / 3
LCM(97,81,174) = 1367118 / 3
LCM(97,81,174) = 455706
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FAQs on GCF of Fractions of 352/97, 724/81, 206/174
1. What is the HCF of 352,724,206?
The HCF of 352,724,206 is 2
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 352/97, 724/81, 206/174?
Answer: GCF of Numerators as per given numbers 352/97, 724/81, 206/174 is
GCF of Numerators i.e. for 352,724,206 is 2
LCM of denominators i.e. for 97,81,174 is 455706.
Thus, GCF of Fractions is 2/455706.Finally, GCF of Fractions for 352/97, 724/81, 206/174 is 2/455706.