GCF of 1411/561, 7840/9144
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1411/561, 7840/9144 i.e 1/1709928 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1411/561, 7840/9144.
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 1411/561,7840/9144?
Given fractions are 1411/561,7840/9144
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 1411/561,7840/9144, numerators are 1411,7840
Denominators are 561,9144
The GCF of 1411,7840 is 1 .
LCM of 561,9144 is 1709928.
The greatest common factor of 1411/561,7840/9144 = [GCF of 1411,7840]/[LCM of 561,9144]= 1/1709928
Therefore, the GCF of 1411/561,7840/9144 is 1/1709928.
To find the highest common factor of 1411,7840, we have to find the factors of both numbers and list the highest common factor.
The factors of 1411 are 1, 17, 83, 1411
The factors of 7840 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 49, 56, 70, 80, 98, 112, 140, 160, 196, 224, 245, 280, 392, 490, 560, 784, 980, 1120, 1568, 1960, 3920, 7840
The HCF of 1411,7840 is 1.
Lets's calculate GCF of 1411,7840
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1411,7840 By Matching Biggest Common Factor Method
Now, list down the factors of 1411
:1,17,83,1411
Now, list down the factors of 7840
:1,2,4,5,7,8,10,14,16,20,28,32,35,40,49,56,70,80,98,112,140,160,196,224,245,280,392,490,560,784,980,1120,1568,1960,3920,7840
Greatest Common Factor
We found the factors 1411,7840 . The biggest common factor number is the GCF number.
So the greatest common factor 1411,7840 is 1.
Lets's calculate LCM of 561,9144
| 3 | 561, 9144 |
| 187, 3048 |
∴ So the LCM of the given numbers is 3 x 187 x 3048 = 1709928
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1709928
Therefore, the GCF of Fractions 1411/561,7840/9144 is 1/1709928
Least Common Multiple of 561,9144 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 561,9144 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(561,9144) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(561,9144) x common factors =3 x 1 = 3
LCM(561,9144) = ( 561 × 9144 ) / 3
LCM(561,9144) = 5129784 / 3
LCM(561,9144) = 1709928
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FAQs on GCF of Fractions of 1411/561, 7840/9144
1. What is the HCF of 1411,7840?
The HCF of 1411,7840 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 1411/561, 7840/9144?
Answer: GCF of Numerators as per given numbers 1411/561, 7840/9144 is
GCF of Numerators i.e. for 1411,7840 is 1
LCM of denominators i.e. for 561,9144 is 1709928.
Thus, GCF of Fractions is 1/1709928.Finally, GCF of Fractions for 1411/561, 7840/9144 is 1/1709928.