GCF of 454/32, 206/106
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 454/32, 206/106 i.e 2/1696 easily. The following is the detailed procedure to determine the greatest common factor of fractions 454/32, 206/106.
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 454/32,206/106?
Given fractions are 454/32,206/106
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 454/32,206/106, numerators are 454,206
Denominators are 32,106
The GCF of 454,206 is 2 .
LCM of 32,106 is 1696.
The greatest common factor of 454/32,206/106 = [GCF of 454,206]/[LCM of 32,106]= 2/1696
Therefore, the GCF of 454/32,206/106 is 2/1696.
To find the highest common factor of 454,206, we have to find the factors of both numbers and list the highest common factor.
The factors of 454 are 1, 2, 227, 454
The factors of 206 are 1, 2, 103, 206
The HCF of 454,206 is 2.
Lets's calculate GCF of 454,206
| 2 | 454, 206 |
| 227, 103 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 454,206 By Matching Biggest Common Factor Method
Now, list down the factors of 454
:1,2,227,454
Now, list down the factors of 206
:1,2,103,206
Greatest Common Factor
We found the factors 454,206 . The biggest common factor number is the GCF number.
So the greatest common factor 454,206 is 2.
Lets's calculate LCM of 32,106
| 2 | 32, 106 |
| 16, 53 |
∴ So the LCM of the given numbers is 2 x 16 x 53 = 1696
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1696
Therefore, the GCF of Fractions 454/32,206/106 is 2/1696
Least Common Multiple of 32,106 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 32,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,106) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(32,106) x common factors =2 x 1 = 2
LCM(32,106) = ( 32 × 106 ) / 2
LCM(32,106) = 3392 / 2
LCM(32,106) = 1696
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FAQs on GCF of Fractions of 454/32, 206/106
1. What is the HCF of 454,206?
The HCF of 454,206 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 454/32, 206/106?
Answer: GCF of Numerators as per given numbers 454/32, 206/106 is
GCF of Numerators i.e. for 454,206 is 2
LCM of denominators i.e. for 32,106 is 1696.
Thus, GCF of Fractions is 2/1696.Finally, GCF of Fractions for 454/32, 206/106 is 2/1696.