GCF of 5673/306, 7189/4137
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5673/306, 7189/4137 i.e 1/421974 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5673/306, 7189/4137.
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 5673/306,7189/4137?
Given fractions are 5673/306,7189/4137
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 5673/306,7189/4137, numerators are 5673,7189
Denominators are 306,4137
The GCF of 5673,7189 is 1 .
LCM of 306,4137 is 421974.
The greatest common factor of 5673/306,7189/4137 = [GCF of 5673,7189]/[LCM of 306,4137]= 1/421974
Therefore, the GCF of 5673/306,7189/4137 is 1/421974.
To find the highest common factor of 5673,7189, we have to find the factors of both numbers and list the highest common factor.
The factors of 5673 are 1, 3, 31, 61, 93, 183, 1891, 5673
The factors of 7189 are 1, 7, 13, 79, 91, 553, 1027, 7189
The HCF of 5673,7189 is 1.
Lets's calculate GCF of 5673,7189
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5673,7189 By Matching Biggest Common Factor Method
Now, list down the factors of 5673
:1,3,31,61,93,183,1891,5673
Now, list down the factors of 7189
:1,7,13,79,91,553,1027,7189
Greatest Common Factor
We found the factors 5673,7189 . The biggest common factor number is the GCF number.
So the greatest common factor 5673,7189 is 1.
Lets's calculate LCM of 306,4137
| 3 | 306, 4137 |
| 102, 1379 |
∴ So the LCM of the given numbers is 3 x 102 x 1379 = 421974
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/421974
Therefore, the GCF of Fractions 5673/306,7189/4137 is 1/421974
Least Common Multiple of 306,4137 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 306,4137 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(306,4137) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(306,4137) x common factors =3 x 1 = 3
LCM(306,4137) = ( 306 × 4137 ) / 3
LCM(306,4137) = 1265922 / 3
LCM(306,4137) = 421974
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FAQs on GCF of Fractions of 5673/306, 7189/4137
1. What is the HCF of 5673,7189?
The HCF of 5673,7189 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 5673/306, 7189/4137?
Answer: GCF of Numerators as per given numbers 5673/306, 7189/4137 is
GCF of Numerators i.e. for 5673,7189 is 1
LCM of denominators i.e. for 306,4137 is 421974.
Thus, GCF of Fractions is 1/421974.Finally, GCF of Fractions for 5673/306, 7189/4137 is 1/421974.