GCF of 8411/454, 7259/7534
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8411/454, 7259/7534 i.e 1/1710218 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8411/454, 7259/7534.
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 8411/454,7259/7534?
Given fractions are 8411/454,7259/7534
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 8411/454,7259/7534, numerators are 8411,7259
Denominators are 454,7534
The GCF of 8411,7259 is 1 .
LCM of 454,7534 is 1710218.
The greatest common factor of 8411/454,7259/7534 = [GCF of 8411,7259]/[LCM of 454,7534]= 1/1710218
Therefore, the GCF of 8411/454,7259/7534 is 1/1710218.
To find the highest common factor of 8411,7259, we have to find the factors of both numbers and list the highest common factor.
The factors of 8411 are 1, 13, 647, 8411
The factors of 7259 are 1, 7, 17, 61, 119, 427, 1037, 7259
The HCF of 8411,7259 is 1.
Lets's calculate GCF of 8411,7259
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8411,7259 By Matching Biggest Common Factor Method
Now, list down the factors of 8411
:1,13,647,8411
Now, list down the factors of 7259
:1,7,17,61,119,427,1037,7259
Greatest Common Factor
We found the factors 8411,7259 . The biggest common factor number is the GCF number.
So the greatest common factor 8411,7259 is 1.
Lets's calculate LCM of 454,7534
| 2 | 454, 7534 |
| 227, 3767 |
∴ So the LCM of the given numbers is 2 x 227 x 3767 = 1710218
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1710218
Therefore, the GCF of Fractions 8411/454,7259/7534 is 1/1710218
Least Common Multiple of 454,7534 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 454,7534 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(454,7534) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(454,7534) x common factors =2 x 1 = 2
LCM(454,7534) = ( 454 × 7534 ) / 2
LCM(454,7534) = 3420436 / 2
LCM(454,7534) = 1710218
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FAQs on GCF of Fractions of 8411/454, 7259/7534
1. What is the HCF of 8411,7259?
The HCF of 8411,7259 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 8411/454, 7259/7534?
Answer: GCF of Numerators as per given numbers 8411/454, 7259/7534 is
GCF of Numerators i.e. for 8411,7259 is 1
LCM of denominators i.e. for 454,7534 is 1710218.
Thus, GCF of Fractions is 1/1710218.Finally, GCF of Fractions for 8411/454, 7259/7534 is 1/1710218.