GCF of 44/105, 758/114, 161/100
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 44/105, 758/114, 161/100 i.e 1/39900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 44/105, 758/114, 161/100.
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 44/105,758/114,161/100?
Given fractions are 44/105,758/114,161/100
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 44/105,758/114,161/100, numerators are 44,758,161
Denominators are 105,114,100
The GCF of 44,758,161 is 1 .
LCM of 105,114,100 is 39900.
The greatest common factor of 44/105,758/114,161/100 = [GCF of 44,758,161]/[LCM of 105,114,100]= 1/39900
Therefore, the GCF of 44/105,758/114,161/100 is 1/39900.
To find the highest common factor of 44,758,161, we have to find the factors of both numbers and list the highest common factor.
The factors of 44 are 1, 2, 4, 11, 22, 44
The factors of 758 are 1, 2, 379, 758
The factors of 161 are 1, 7, 23, 161
The HCF of 44,758,161 is 1.
Lets's calculate GCF of 44,758,161
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 44,758,161 By Matching Biggest Common Factor Method
Now, list down the factors of 44
:1,2,4,11,22,44
Now, list down the factors of 758
:1,2,379,758
Now, list down the factors of 161
:1,7,23,161
Greatest Common Factor
We found the factors 44,758,161 . The biggest common factor number is the GCF number.
So the greatest common factor 44,758,161 is 1.
Lets's calculate LCM of 105,114,100
| 2 | 105, 114, 100 |
| 3 | 105, 57, 50 |
| 5 | 35, 19, 50 |
| 7, 19, 10 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 19 x 10 = 39900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39900
Therefore, the GCF of Fractions 44/105,758/114,161/100 is 1/39900
Least Common Multiple of 105,114,100 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 105,114,100 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(105,114,100) = 1
common factors(in case of two or more numbers have common factors) = 30
GCF(105,114,100) x common factors =1 x 30 = 30
LCM(105,114,100) = ( 105 × 114 × 100 ) / 30
LCM(105,114,100) = 1197000 / 30
LCM(105,114,100) = 39900
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FAQs on GCF of Fractions of 44/105, 758/114, 161/100
1. What is the HCF of 44,758,161?
The HCF of 44,758,161 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 44/105, 758/114, 161/100?
Answer: GCF of Numerators as per given numbers 44/105, 758/114, 161/100 is
GCF of Numerators i.e. for 44,758,161 is 1
LCM of denominators i.e. for 105,114,100 is 39900.
Thus, GCF of Fractions is 1/39900.Finally, GCF of Fractions for 44/105, 758/114, 161/100 is 1/39900.