GCF of 9488/541, 1414/2580
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9488/541, 1414/2580 i.e 2/1395780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9488/541, 1414/2580.
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 9488/541,1414/2580?
Given fractions are 9488/541,1414/2580
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 9488/541,1414/2580, numerators are 9488,1414
Denominators are 541,2580
The GCF of 9488,1414 is 2 .
LCM of 541,2580 is 1395780.
The greatest common factor of 9488/541,1414/2580 = [GCF of 9488,1414]/[LCM of 541,2580]= 2/1395780
Therefore, the GCF of 9488/541,1414/2580 is 2/1395780.
To find the highest common factor of 9488,1414, we have to find the factors of both numbers and list the highest common factor.
The factors of 9488 are 1, 2, 4, 8, 16, 593, 1186, 2372, 4744, 9488
The factors of 1414 are 1, 2, 7, 14, 101, 202, 707, 1414
The HCF of 9488,1414 is 2.
Lets's calculate GCF of 9488,1414
| 2 | 9488, 1414 |
| 4744, 707 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9488,1414 By Matching Biggest Common Factor Method
Now, list down the factors of 9488
:1,2,4,8,16,593,1186,2372,4744,9488
Now, list down the factors of 1414
:1,2,7,14,101,202,707,1414
Greatest Common Factor
We found the factors 9488,1414 . The biggest common factor number is the GCF number.
So the greatest common factor 9488,1414 is 2.
Lets's calculate LCM of 541,2580
Given numbers has no common factors except 1. So, there LCM is their product i.e 1395780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1395780
Therefore, the GCF of Fractions 9488/541,1414/2580 is 2/1395780
Least Common Multiple of 541,2580 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 541,2580 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(541,2580) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(541,2580) x common factors =1 x 1 = 1
LCM(541,2580) = ( 541 × 2580 ) / 1
LCM(541,2580) = 1395780 / 1
LCM(541,2580) = 1395780
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FAQs on GCF of Fractions of 9488/541, 1414/2580
1. What is the HCF of 9488,1414?
The HCF of 9488,1414 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 9488/541, 1414/2580?
Answer: GCF of Numerators as per given numbers 9488/541, 1414/2580 is
GCF of Numerators i.e. for 9488,1414 is 2
LCM of denominators i.e. for 541,2580 is 1395780.
Thus, GCF of Fractions is 2/1395780.Finally, GCF of Fractions for 9488/541, 1414/2580 is 2/1395780.