GCF of 4834/303, 2604/724
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4834/303, 2604/724 i.e 2/219372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4834/303, 2604/724.
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 4834/303,2604/724?
Given fractions are 4834/303,2604/724
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 4834/303,2604/724, numerators are 4834,2604
Denominators are 303,724
The GCF of 4834,2604 is 2 .
LCM of 303,724 is 219372.
The greatest common factor of 4834/303,2604/724 = [GCF of 4834,2604]/[LCM of 303,724]= 2/219372
Therefore, the GCF of 4834/303,2604/724 is 2/219372.
To find the highest common factor of 4834,2604, we have to find the factors of both numbers and list the highest common factor.
The factors of 4834 are 1, 2, 2417, 4834
The factors of 2604 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 31, 42, 62, 84, 93, 124, 186, 217, 372, 434, 651, 868, 1302, 2604
The HCF of 4834,2604 is 2.
Lets's calculate GCF of 4834,2604
| 2 | 4834, 2604 |
| 2417, 1302 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4834,2604 By Matching Biggest Common Factor Method
Now, list down the factors of 4834
:1,2,2417,4834
Now, list down the factors of 2604
:1,2,3,4,6,7,12,14,21,28,31,42,62,84,93,124,186,217,372,434,651,868,1302,2604
Greatest Common Factor
We found the factors 4834,2604 . The biggest common factor number is the GCF number.
So the greatest common factor 4834,2604 is 2.
Lets's calculate LCM of 303,724
Given numbers has no common factors except 1. So, there LCM is their product i.e 219372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/219372
Therefore, the GCF of Fractions 4834/303,2604/724 is 2/219372
Least Common Multiple of 303,724 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 303,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(303,724) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(303,724) x common factors =1 x 1 = 1
LCM(303,724) = ( 303 × 724 ) / 1
LCM(303,724) = 219372 / 1
LCM(303,724) = 219372
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FAQs on GCF of Fractions of 4834/303, 2604/724
1. What is the HCF of 4834,2604?
The HCF of 4834,2604 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 4834/303, 2604/724?
Answer: GCF of Numerators as per given numbers 4834/303, 2604/724 is
GCF of Numerators i.e. for 4834,2604 is 2
LCM of denominators i.e. for 303,724 is 219372.
Thus, GCF of Fractions is 2/219372.Finally, GCF of Fractions for 4834/303, 2604/724 is 2/219372.