GCF of 3539/119, 3229/9912
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3539/119, 3229/9912 i.e 1/168504 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3539/119, 3229/9912.
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 3539/119,3229/9912?
Given fractions are 3539/119,3229/9912
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 3539/119,3229/9912, numerators are 3539,3229
Denominators are 119,9912
The GCF of 3539,3229 is 1 .
LCM of 119,9912 is 168504.
The greatest common factor of 3539/119,3229/9912 = [GCF of 3539,3229]/[LCM of 119,9912]= 1/168504
Therefore, the GCF of 3539/119,3229/9912 is 1/168504.
To find the highest common factor of 3539,3229, we have to find the factors of both numbers and list the highest common factor.
The factors of 3539 are 1, 3539
The factors of 3229 are 1, 3229
The HCF of 3539,3229 is 1.
Lets's calculate GCF of 3539,3229
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3539,3229 By Matching Biggest Common Factor Method
Now, list down the factors of 3539
:1,3539
Now, list down the factors of 3229
:1,3229
Greatest Common Factor
We found the factors 3539,3229 . The biggest common factor number is the GCF number.
So the greatest common factor 3539,3229 is 1.
Lets's calculate LCM of 119,9912
| 7 | 119, 9912 |
| 17, 1416 |
∴ So the LCM of the given numbers is 7 x 17 x 1416 = 168504
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/168504
Therefore, the GCF of Fractions 3539/119,3229/9912 is 1/168504
Least Common Multiple of 119,9912 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 119,9912 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(119,9912) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(119,9912) x common factors =7 x 1 = 7
LCM(119,9912) = ( 119 × 9912 ) / 7
LCM(119,9912) = 1179528 / 7
LCM(119,9912) = 168504
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FAQs on GCF of Fractions of 3539/119, 3229/9912
1. What is the HCF of 3539,3229?
The HCF of 3539,3229 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 3539/119, 3229/9912?
Answer: GCF of Numerators as per given numbers 3539/119, 3229/9912 is
GCF of Numerators i.e. for 3539,3229 is 1
LCM of denominators i.e. for 119,9912 is 168504.
Thus, GCF of Fractions is 1/168504.Finally, GCF of Fractions for 3539/119, 3229/9912 is 1/168504.