GCF of 4080/314, 5549/735
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4080/314, 5549/735 i.e 1/230790 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4080/314, 5549/735.
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 4080/314,5549/735?
Given fractions are 4080/314,5549/735
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 4080/314,5549/735, numerators are 4080,5549
Denominators are 314,735
The GCF of 4080,5549 is 1 .
LCM of 314,735 is 230790.
The greatest common factor of 4080/314,5549/735 = [GCF of 4080,5549]/[LCM of 314,735]= 1/230790
Therefore, the GCF of 4080/314,5549/735 is 1/230790.
To find the highest common factor of 4080,5549, we have to find the factors of both numbers and list the highest common factor.
The factors of 4080 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 17, 20, 24, 30, 34, 40, 48, 51, 60, 68, 80, 85, 102, 120, 136, 170, 204, 240, 255, 272, 340, 408, 510, 680, 816, 1020, 1360, 2040, 4080
The factors of 5549 are 1, 31, 179, 5549
The HCF of 4080,5549 is 1.
Lets's calculate GCF of 4080,5549
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4080,5549 By Matching Biggest Common Factor Method
Now, list down the factors of 4080
:1,2,3,4,5,6,8,10,12,15,16,17,20,24,30,34,40,48,51,60,68,80,85,102,120,136,170,204,240,255,272,340,408,510,680,816,1020,1360,2040,4080
Now, list down the factors of 5549
:1,31,179,5549
Greatest Common Factor
We found the factors 4080,5549 . The biggest common factor number is the GCF number.
So the greatest common factor 4080,5549 is 1.
Lets's calculate LCM of 314,735
Given numbers has no common factors except 1. So, there LCM is their product i.e 230790
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/230790
Therefore, the GCF of Fractions 4080/314,5549/735 is 1/230790
Least Common Multiple of 314,735 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 314,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(314,735) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(314,735) x common factors =1 x 1 = 1
LCM(314,735) = ( 314 × 735 ) / 1
LCM(314,735) = 230790 / 1
LCM(314,735) = 230790
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FAQs on GCF of Fractions of 4080/314, 5549/735
1. What is the HCF of 4080,5549?
The HCF of 4080,5549 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 4080/314, 5549/735?
Answer: GCF of Numerators as per given numbers 4080/314, 5549/735 is
GCF of Numerators i.e. for 4080,5549 is 1
LCM of denominators i.e. for 314,735 is 230790.
Thus, GCF of Fractions is 1/230790.Finally, GCF of Fractions for 4080/314, 5549/735 is 1/230790.