GCF of 4537/816, 4782/5912
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4537/816, 4782/5912 i.e 1/603024 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4537/816, 4782/5912.
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 4537/816,4782/5912?
Given fractions are 4537/816,4782/5912
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 4537/816,4782/5912, numerators are 4537,4782
Denominators are 816,5912
The GCF of 4537,4782 is 1 .
LCM of 816,5912 is 603024.
The greatest common factor of 4537/816,4782/5912 = [GCF of 4537,4782]/[LCM of 816,5912]= 1/603024
Therefore, the GCF of 4537/816,4782/5912 is 1/603024.
To find the highest common factor of 4537,4782, we have to find the factors of both numbers and list the highest common factor.
The factors of 4537 are 1, 13, 349, 4537
The factors of 4782 are 1, 2, 3, 6, 797, 1594, 2391, 4782
The HCF of 4537,4782 is 1.
Lets's calculate GCF of 4537,4782
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4537,4782 By Matching Biggest Common Factor Method
Now, list down the factors of 4537
:1,13,349,4537
Now, list down the factors of 4782
:1,2,3,6,797,1594,2391,4782
Greatest Common Factor
We found the factors 4537,4782 . The biggest common factor number is the GCF number.
So the greatest common factor 4537,4782 is 1.
Lets's calculate LCM of 816,5912
| 2 | 816, 5912 |
| 2 | 408, 2956 |
| 2 | 204, 1478 |
| 102, 739 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 102 x 739 = 603024
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/603024
Therefore, the GCF of Fractions 4537/816,4782/5912 is 1/603024
Least Common Multiple of 816,5912 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 816,5912 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(816,5912) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(816,5912) x common factors =8 x 1 = 8
LCM(816,5912) = ( 816 × 5912 ) / 8
LCM(816,5912) = 4824192 / 8
LCM(816,5912) = 603024
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FAQs on GCF of Fractions of 4537/816, 4782/5912
1. What is the HCF of 4537,4782?
The HCF of 4537,4782 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 4537/816, 4782/5912?
Answer: GCF of Numerators as per given numbers 4537/816, 4782/5912 is
GCF of Numerators i.e. for 4537,4782 is 1
LCM of denominators i.e. for 816,5912 is 603024.
Thus, GCF of Fractions is 1/603024.Finally, GCF of Fractions for 4537/816, 4782/5912 is 1/603024.