GCF of 1481/471, 7370/541
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1481/471, 7370/541 i.e 1/254811 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1481/471, 7370/541.
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 1481/471,7370/541?
Given fractions are 1481/471,7370/541
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 1481/471,7370/541, numerators are 1481,7370
Denominators are 471,541
The GCF of 1481,7370 is 1 .
LCM of 471,541 is 254811.
The greatest common factor of 1481/471,7370/541 = [GCF of 1481,7370]/[LCM of 471,541]= 1/254811
Therefore, the GCF of 1481/471,7370/541 is 1/254811.
To find the highest common factor of 1481,7370, we have to find the factors of both numbers and list the highest common factor.
The factors of 1481 are 1, 1481
The factors of 7370 are 1, 2, 5, 10, 11, 22, 55, 67, 110, 134, 335, 670, 737, 1474, 3685, 7370
The HCF of 1481,7370 is 1.
Lets's calculate GCF of 1481,7370
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1481,7370 By Matching Biggest Common Factor Method
Now, list down the factors of 1481
:1,1481
Now, list down the factors of 7370
:1,2,5,10,11,22,55,67,110,134,335,670,737,1474,3685,7370
Greatest Common Factor
We found the factors 1481,7370 . The biggest common factor number is the GCF number.
So the greatest common factor 1481,7370 is 1.
Lets's calculate LCM of 471,541
Given numbers has no common factors except 1. So, there LCM is their product i.e 254811
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/254811
Therefore, the GCF of Fractions 1481/471,7370/541 is 1/254811
Least Common Multiple of 471,541 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 471,541 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(471,541) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(471,541) x common factors =1 x 1 = 1
LCM(471,541) = ( 471 × 541 ) / 1
LCM(471,541) = 254811 / 1
LCM(471,541) = 254811
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FAQs on GCF of Fractions of 1481/471, 7370/541
1. What is the HCF of 1481,7370?
The HCF of 1481,7370 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 1481/471, 7370/541?
Answer: GCF of Numerators as per given numbers 1481/471, 7370/541 is
GCF of Numerators i.e. for 1481,7370 is 1
LCM of denominators i.e. for 471,541 is 254811.
Thus, GCF of Fractions is 1/254811.Finally, GCF of Fractions for 1481/471, 7370/541 is 1/254811.