GCF of 5318/294, 4256/822
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5318/294, 4256/822 i.e 2/40278 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5318/294, 4256/822.
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 5318/294,4256/822?
Given fractions are 5318/294,4256/822
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 5318/294,4256/822, numerators are 5318,4256
Denominators are 294,822
The GCF of 5318,4256 is 2 .
LCM of 294,822 is 40278.
The greatest common factor of 5318/294,4256/822 = [GCF of 5318,4256]/[LCM of 294,822]= 2/40278
Therefore, the GCF of 5318/294,4256/822 is 2/40278.
To find the highest common factor of 5318,4256, we have to find the factors of both numbers and list the highest common factor.
The factors of 5318 are 1, 2, 2659, 5318
The factors of 4256 are 1, 2, 4, 7, 8, 14, 16, 19, 28, 32, 38, 56, 76, 112, 133, 152, 224, 266, 304, 532, 608, 1064, 2128, 4256
The HCF of 5318,4256 is 2.
Lets's calculate GCF of 5318,4256
| 2 | 5318, 4256 |
| 2659, 2128 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5318,4256 By Matching Biggest Common Factor Method
Now, list down the factors of 5318
:1,2,2659,5318
Now, list down the factors of 4256
:1,2,4,7,8,14,16,19,28,32,38,56,76,112,133,152,224,266,304,532,608,1064,2128,4256
Greatest Common Factor
We found the factors 5318,4256 . The biggest common factor number is the GCF number.
So the greatest common factor 5318,4256 is 2.
Lets's calculate LCM of 294,822
| 2 | 294, 822 |
| 3 | 147, 411 |
| 49, 137 |
∴ So the LCM of the given numbers is 2 x 3 x 49 x 137 = 40278
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/40278
Therefore, the GCF of Fractions 5318/294,4256/822 is 2/40278
Least Common Multiple of 294,822 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 294,822 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(294,822) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(294,822) x common factors =6 x 1 = 6
LCM(294,822) = ( 294 × 822 ) / 6
LCM(294,822) = 241668 / 6
LCM(294,822) = 40278
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FAQs on GCF of Fractions of 5318/294, 4256/822
1. What is the HCF of 5318,4256?
The HCF of 5318,4256 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 5318/294, 4256/822?
Answer: GCF of Numerators as per given numbers 5318/294, 4256/822 is
GCF of Numerators i.e. for 5318,4256 is 2
LCM of denominators i.e. for 294,822 is 40278.
Thus, GCF of Fractions is 2/40278.Finally, GCF of Fractions for 5318/294, 4256/822 is 2/40278.