GCF of 5639/153, 1106/3684
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5639/153, 1106/3684 i.e 1/187884 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5639/153, 1106/3684.
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 5639/153,1106/3684?
Given fractions are 5639/153,1106/3684
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 5639/153,1106/3684, numerators are 5639,1106
Denominators are 153,3684
The GCF of 5639,1106 is 1 .
LCM of 153,3684 is 187884.
The greatest common factor of 5639/153,1106/3684 = [GCF of 5639,1106]/[LCM of 153,3684]= 1/187884
Therefore, the GCF of 5639/153,1106/3684 is 1/187884.
To find the highest common factor of 5639,1106, we have to find the factors of both numbers and list the highest common factor.
The factors of 5639 are 1, 5639
The factors of 1106 are 1, 2, 7, 14, 79, 158, 553, 1106
The HCF of 5639,1106 is 1.
Lets's calculate GCF of 5639,1106
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5639,1106 By Matching Biggest Common Factor Method
Now, list down the factors of 5639
:1,5639
Now, list down the factors of 1106
:1,2,7,14,79,158,553,1106
Greatest Common Factor
We found the factors 5639,1106 . The biggest common factor number is the GCF number.
So the greatest common factor 5639,1106 is 1.
Lets's calculate LCM of 153,3684
| 3 | 153, 3684 |
| 51, 1228 |
∴ So the LCM of the given numbers is 3 x 51 x 1228 = 187884
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/187884
Therefore, the GCF of Fractions 5639/153,1106/3684 is 1/187884
Least Common Multiple of 153,3684 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 153,3684 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(153,3684) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(153,3684) x common factors =3 x 1 = 3
LCM(153,3684) = ( 153 × 3684 ) / 3
LCM(153,3684) = 563652 / 3
LCM(153,3684) = 187884
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FAQs on GCF of Fractions of 5639/153, 1106/3684
1. What is the HCF of 5639,1106?
The HCF of 5639,1106 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 5639/153, 1106/3684?
Answer: GCF of Numerators as per given numbers 5639/153, 1106/3684 is
GCF of Numerators i.e. for 5639,1106 is 1
LCM of denominators i.e. for 153,3684 is 187884.
Thus, GCF of Fractions is 1/187884.Finally, GCF of Fractions for 5639/153, 1106/3684 is 1/187884.