GCF of 4944/226, 6522/343
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4944/226, 6522/343 i.e 6/77518 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4944/226, 6522/343.
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 4944/226,6522/343?
Given fractions are 4944/226,6522/343
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 4944/226,6522/343, numerators are 4944,6522
Denominators are 226,343
The GCF of 4944,6522 is 6 .
LCM of 226,343 is 77518.
The greatest common factor of 4944/226,6522/343 = [GCF of 4944,6522]/[LCM of 226,343]= 6/77518
Therefore, the GCF of 4944/226,6522/343 is 6/77518.
To find the highest common factor of 4944,6522, we have to find the factors of both numbers and list the highest common factor.
The factors of 4944 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 103, 206, 309, 412, 618, 824, 1236, 1648, 2472, 4944
The factors of 6522 are 1, 2, 3, 6, 1087, 2174, 3261, 6522
The HCF of 4944,6522 is 6.
Lets's calculate GCF of 4944,6522
| 2 | 4944, 6522 |
| 3 | 2472, 3261 |
| 824, 1087 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 4944,6522 By Matching Biggest Common Factor Method
Now, list down the factors of 4944
:1,2,3,4,6,8,12,16,24,48,103,206,309,412,618,824,1236,1648,2472,4944
Now, list down the factors of 6522
:1,2,3,6,1087,2174,3261,6522
Greatest Common Factor
We found the factors 4944,6522 . The biggest common factor number is the GCF number.
So the greatest common factor 4944,6522 is 6.
Lets's calculate LCM of 226,343
Given numbers has no common factors except 1. So, there LCM is their product i.e 77518
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/77518
Therefore, the GCF of Fractions 4944/226,6522/343 is 6/77518
Least Common Multiple of 226,343 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 226,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(226,343) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(226,343) x common factors =1 x 1 = 1
LCM(226,343) = ( 226 × 343 ) / 1
LCM(226,343) = 77518 / 1
LCM(226,343) = 77518
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FAQs on GCF of Fractions of 4944/226, 6522/343
1. What is the HCF of 4944,6522?
The HCF of 4944,6522 is 6
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 4944/226, 6522/343?
Answer: GCF of Numerators as per given numbers 4944/226, 6522/343 is
GCF of Numerators i.e. for 4944,6522 is 6
LCM of denominators i.e. for 226,343 is 77518.
Thus, GCF of Fractions is 6/77518.Finally, GCF of Fractions for 4944/226, 6522/343 is 6/77518.