GCF of 4966/106, 5704/6152
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4966/106, 5704/6152 i.e 2/326056 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4966/106, 5704/6152.
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 4966/106,5704/6152?
Given fractions are 4966/106,5704/6152
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 4966/106,5704/6152, numerators are 4966,5704
Denominators are 106,6152
The GCF of 4966,5704 is 2 .
LCM of 106,6152 is 326056.
The greatest common factor of 4966/106,5704/6152 = [GCF of 4966,5704]/[LCM of 106,6152]= 2/326056
Therefore, the GCF of 4966/106,5704/6152 is 2/326056.
To find the highest common factor of 4966,5704, we have to find the factors of both numbers and list the highest common factor.
The factors of 4966 are 1, 2, 13, 26, 191, 382, 2483, 4966
The factors of 5704 are 1, 2, 4, 8, 23, 31, 46, 62, 92, 124, 184, 248, 713, 1426, 2852, 5704
The HCF of 4966,5704 is 2.
Lets's calculate GCF of 4966,5704
| 2 | 4966, 5704 |
| 2483, 2852 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4966,5704 By Matching Biggest Common Factor Method
Now, list down the factors of 4966
:1,2,13,26,191,382,2483,4966
Now, list down the factors of 5704
:1,2,4,8,23,31,46,62,92,124,184,248,713,1426,2852,5704
Greatest Common Factor
We found the factors 4966,5704 . The biggest common factor number is the GCF number.
So the greatest common factor 4966,5704 is 2.
Lets's calculate LCM of 106,6152
| 2 | 106, 6152 |
| 53, 3076 |
∴ So the LCM of the given numbers is 2 x 53 x 3076 = 326056
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/326056
Therefore, the GCF of Fractions 4966/106,5704/6152 is 2/326056
Least Common Multiple of 106,6152 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 106,6152 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(106,6152) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(106,6152) x common factors =2 x 1 = 2
LCM(106,6152) = ( 106 × 6152 ) / 2
LCM(106,6152) = 652112 / 2
LCM(106,6152) = 326056
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FAQs on GCF of Fractions of 4966/106, 5704/6152
1. What is the HCF of 4966,5704?
The HCF of 4966,5704 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 4966/106, 5704/6152?
Answer: GCF of Numerators as per given numbers 4966/106, 5704/6152 is
GCF of Numerators i.e. for 4966,5704 is 2
LCM of denominators i.e. for 106,6152 is 326056.
Thus, GCF of Fractions is 2/326056.Finally, GCF of Fractions for 4966/106, 5704/6152 is 2/326056.