GCF of 1634/106, 3162/554
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1634/106, 3162/554 i.e 2/29362 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1634/106, 3162/554.
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 1634/106,3162/554?
Given fractions are 1634/106,3162/554
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 1634/106,3162/554, numerators are 1634,3162
Denominators are 106,554
The GCF of 1634,3162 is 2 .
LCM of 106,554 is 29362.
The greatest common factor of 1634/106,3162/554 = [GCF of 1634,3162]/[LCM of 106,554]= 2/29362
Therefore, the GCF of 1634/106,3162/554 is 2/29362.
To find the highest common factor of 1634,3162, we have to find the factors of both numbers and list the highest common factor.
The factors of 1634 are 1, 2, 19, 38, 43, 86, 817, 1634
The factors of 3162 are 1, 2, 3, 6, 17, 31, 34, 51, 62, 93, 102, 186, 527, 1054, 1581, 3162
The HCF of 1634,3162 is 2.
Lets's calculate GCF of 1634,3162
| 2 | 1634, 3162 |
| 817, 1581 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1634,3162 By Matching Biggest Common Factor Method
Now, list down the factors of 1634
:1,2,19,38,43,86,817,1634
Now, list down the factors of 3162
:1,2,3,6,17,31,34,51,62,93,102,186,527,1054,1581,3162
Greatest Common Factor
We found the factors 1634,3162 . The biggest common factor number is the GCF number.
So the greatest common factor 1634,3162 is 2.
Lets's calculate LCM of 106,554
| 2 | 106, 554 |
| 53, 277 |
∴ So the LCM of the given numbers is 2 x 53 x 277 = 29362
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/29362
Therefore, the GCF of Fractions 1634/106,3162/554 is 2/29362
Least Common Multiple of 106,554 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 106,554 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(106,554) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(106,554) x common factors =2 x 1 = 2
LCM(106,554) = ( 106 × 554 ) / 2
LCM(106,554) = 58724 / 2
LCM(106,554) = 29362
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FAQs on GCF of Fractions of 1634/106, 3162/554
1. What is the HCF of 1634,3162?
The HCF of 1634,3162 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 1634/106, 3162/554?
Answer: GCF of Numerators as per given numbers 1634/106, 3162/554 is
GCF of Numerators i.e. for 1634,3162 is 2
LCM of denominators i.e. for 106,554 is 29362.
Thus, GCF of Fractions is 2/29362.Finally, GCF of Fractions for 1634/106, 3162/554 is 2/29362.