GCF of 1497/584, 2056/8184
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1497/584, 2056/8184 i.e 1/597432 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1497/584, 2056/8184.
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 1497/584,2056/8184?
Given fractions are 1497/584,2056/8184
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 1497/584,2056/8184, numerators are 1497,2056
Denominators are 584,8184
The GCF of 1497,2056 is 1 .
LCM of 584,8184 is 597432.
The greatest common factor of 1497/584,2056/8184 = [GCF of 1497,2056]/[LCM of 584,8184]= 1/597432
Therefore, the GCF of 1497/584,2056/8184 is 1/597432.
To find the highest common factor of 1497,2056, we have to find the factors of both numbers and list the highest common factor.
The factors of 1497 are 1, 3, 499, 1497
The factors of 2056 are 1, 2, 4, 8, 257, 514, 1028, 2056
The HCF of 1497,2056 is 1.
Lets's calculate GCF of 1497,2056
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1497,2056 By Matching Biggest Common Factor Method
Now, list down the factors of 1497
:1,3,499,1497
Now, list down the factors of 2056
:1,2,4,8,257,514,1028,2056
Greatest Common Factor
We found the factors 1497,2056 . The biggest common factor number is the GCF number.
So the greatest common factor 1497,2056 is 1.
Lets's calculate LCM of 584,8184
| 2 | 584, 8184 |
| 2 | 292, 4092 |
| 2 | 146, 2046 |
| 73, 1023 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 73 x 1023 = 597432
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/597432
Therefore, the GCF of Fractions 1497/584,2056/8184 is 1/597432
Least Common Multiple of 584,8184 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 584,8184 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(584,8184) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(584,8184) x common factors =8 x 1 = 8
LCM(584,8184) = ( 584 × 8184 ) / 8
LCM(584,8184) = 4779456 / 8
LCM(584,8184) = 597432
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FAQs on GCF of Fractions of 1497/584, 2056/8184
1. What is the HCF of 1497,2056?
The HCF of 1497,2056 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 1497/584, 2056/8184?
Answer: GCF of Numerators as per given numbers 1497/584, 2056/8184 is
GCF of Numerators i.e. for 1497,2056 is 1
LCM of denominators i.e. for 584,8184 is 597432.
Thus, GCF of Fractions is 1/597432.Finally, GCF of Fractions for 1497/584, 2056/8184 is 1/597432.