GCF of 3444/147, 4029/109
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3444/147, 4029/109 i.e 3/16023 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3444/147, 4029/109.
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 3444/147,4029/109?
Given fractions are 3444/147,4029/109
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 3444/147,4029/109, numerators are 3444,4029
Denominators are 147,109
The GCF of 3444,4029 is 3 .
LCM of 147,109 is 16023.
The greatest common factor of 3444/147,4029/109 = [GCF of 3444,4029]/[LCM of 147,109]= 3/16023
Therefore, the GCF of 3444/147,4029/109 is 3/16023.
To find the highest common factor of 3444,4029, we have to find the factors of both numbers and list the highest common factor.
The factors of 3444 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 41, 42, 82, 84, 123, 164, 246, 287, 492, 574, 861, 1148, 1722, 3444
The factors of 4029 are 1, 3, 17, 51, 79, 237, 1343, 4029
The HCF of 3444,4029 is 3.
Lets's calculate GCF of 3444,4029
| 3 | 3444, 4029 |
| 1148, 1343 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3444,4029 By Matching Biggest Common Factor Method
Now, list down the factors of 3444
:1,2,3,4,6,7,12,14,21,28,41,42,82,84,123,164,246,287,492,574,861,1148,1722,3444
Now, list down the factors of 4029
:1,3,17,51,79,237,1343,4029
Greatest Common Factor
We found the factors 3444,4029 . The biggest common factor number is the GCF number.
So the greatest common factor 3444,4029 is 3.
Lets's calculate LCM of 147,109
Given numbers has no common factors except 1. So, there LCM is their product i.e 16023
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/16023
Therefore, the GCF of Fractions 3444/147,4029/109 is 3/16023
Least Common Multiple of 147,109 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 147,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(147,109) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(147,109) x common factors =1 x 1 = 1
LCM(147,109) = ( 147 × 109 ) / 1
LCM(147,109) = 16023 / 1
LCM(147,109) = 16023
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FAQs on GCF of Fractions of 3444/147, 4029/109
1. What is the HCF of 3444,4029?
The HCF of 3444,4029 is 3
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 3444/147, 4029/109?
Answer: GCF of Numerators as per given numbers 3444/147, 4029/109 is
GCF of Numerators i.e. for 3444,4029 is 3
LCM of denominators i.e. for 147,109 is 16023.
Thus, GCF of Fractions is 3/16023.Finally, GCF of Fractions for 3444/147, 4029/109 is 3/16023.