GCF of 1618/541, 8480/3532
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1618/541, 8480/3532 i.e 2/1910812 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1618/541, 8480/3532.
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 1618/541,8480/3532?
Given fractions are 1618/541,8480/3532
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 1618/541,8480/3532, numerators are 1618,8480
Denominators are 541,3532
The GCF of 1618,8480 is 2 .
LCM of 541,3532 is 1910812.
The greatest common factor of 1618/541,8480/3532 = [GCF of 1618,8480]/[LCM of 541,3532]= 2/1910812
Therefore, the GCF of 1618/541,8480/3532 is 2/1910812.
To find the highest common factor of 1618,8480, we have to find the factors of both numbers and list the highest common factor.
The factors of 1618 are 1, 2, 809, 1618
The factors of 8480 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 53, 80, 106, 160, 212, 265, 424, 530, 848, 1060, 1696, 2120, 4240, 8480
The HCF of 1618,8480 is 2.
Lets's calculate GCF of 1618,8480
| 2 | 1618, 8480 |
| 809, 4240 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1618,8480 By Matching Biggest Common Factor Method
Now, list down the factors of 1618
:1,2,809,1618
Now, list down the factors of 8480
:1,2,4,5,8,10,16,20,32,40,53,80,106,160,212,265,424,530,848,1060,1696,2120,4240,8480
Greatest Common Factor
We found the factors 1618,8480 . The biggest common factor number is the GCF number.
So the greatest common factor 1618,8480 is 2.
Lets's calculate LCM of 541,3532
Given numbers has no common factors except 1. So, there LCM is their product i.e 1910812
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1910812
Therefore, the GCF of Fractions 1618/541,8480/3532 is 2/1910812
Least Common Multiple of 541,3532 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 541,3532 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(541,3532) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(541,3532) x common factors =1 x 1 = 1
LCM(541,3532) = ( 541 × 3532 ) / 1
LCM(541,3532) = 1910812 / 1
LCM(541,3532) = 1910812
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FAQs on GCF of Fractions of 1618/541, 8480/3532
1. What is the HCF of 1618,8480?
The HCF of 1618,8480 is 2
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 1618/541, 8480/3532?
Answer: GCF of Numerators as per given numbers 1618/541, 8480/3532 is
GCF of Numerators i.e. for 1618,8480 is 2
LCM of denominators i.e. for 541,3532 is 1910812.
Thus, GCF of Fractions is 2/1910812.Finally, GCF of Fractions for 1618/541, 8480/3532 is 2/1910812.