GCF of 1106/115, 4738/4132
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1106/115, 4738/4132 i.e 2/475180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1106/115, 4738/4132.
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 1106/115,4738/4132?
Given fractions are 1106/115,4738/4132
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 1106/115,4738/4132, numerators are 1106,4738
Denominators are 115,4132
The GCF of 1106,4738 is 2 .
LCM of 115,4132 is 475180.
The greatest common factor of 1106/115,4738/4132 = [GCF of 1106,4738]/[LCM of 115,4132]= 2/475180
Therefore, the GCF of 1106/115,4738/4132 is 2/475180.
To find the highest common factor of 1106,4738, we have to find the factors of both numbers and list the highest common factor.
The factors of 1106 are 1, 2, 7, 14, 79, 158, 553, 1106
The factors of 4738 are 1, 2, 23, 46, 103, 206, 2369, 4738
The HCF of 1106,4738 is 2.
Lets's calculate GCF of 1106,4738
| 2 | 1106, 4738 |
| 553, 2369 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1106,4738 By Matching Biggest Common Factor Method
Now, list down the factors of 1106
:1,2,7,14,79,158,553,1106
Now, list down the factors of 4738
:1,2,23,46,103,206,2369,4738
Greatest Common Factor
We found the factors 1106,4738 . The biggest common factor number is the GCF number.
So the greatest common factor 1106,4738 is 2.
Lets's calculate LCM of 115,4132
Given numbers has no common factors except 1. So, there LCM is their product i.e 475180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/475180
Therefore, the GCF of Fractions 1106/115,4738/4132 is 2/475180
Least Common Multiple of 115,4132 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 115,4132 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(115,4132) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(115,4132) x common factors =1 x 1 = 1
LCM(115,4132) = ( 115 × 4132 ) / 1
LCM(115,4132) = 475180 / 1
LCM(115,4132) = 475180
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FAQs on GCF of Fractions of 1106/115, 4738/4132
1. What is the HCF of 1106,4738?
The HCF of 1106,4738 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 1106/115, 4738/4132?
Answer: GCF of Numerators as per given numbers 1106/115, 4738/4132 is
GCF of Numerators i.e. for 1106,4738 is 2
LCM of denominators i.e. for 115,4132 is 475180.
Thus, GCF of Fractions is 2/475180.Finally, GCF of Fractions for 1106/115, 4738/4132 is 2/475180.