GCF of 5324/996, 4496/4172
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5324/996, 4496/4172 i.e 4/1038828 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5324/996, 4496/4172.
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 5324/996,4496/4172?
Given fractions are 5324/996,4496/4172
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 5324/996,4496/4172, numerators are 5324,4496
Denominators are 996,4172
The GCF of 5324,4496 is 4 .
LCM of 996,4172 is 1038828.
The greatest common factor of 5324/996,4496/4172 = [GCF of 5324,4496]/[LCM of 996,4172]= 4/1038828
Therefore, the GCF of 5324/996,4496/4172 is 4/1038828.
To find the highest common factor of 5324,4496, we have to find the factors of both numbers and list the highest common factor.
The factors of 5324 are 1, 2, 4, 11, 22, 44, 121, 242, 484, 1331, 2662, 5324
The factors of 4496 are 1, 2, 4, 8, 16, 281, 562, 1124, 2248, 4496
The HCF of 5324,4496 is 4.
Lets's calculate GCF of 5324,4496
| 2 | 5324, 4496 |
| 2 | 2662, 2248 |
| 1331, 1124 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 5324,4496 By Matching Biggest Common Factor Method
Now, list down the factors of 5324
:1,2,4,11,22,44,121,242,484,1331,2662,5324
Now, list down the factors of 4496
:1,2,4,8,16,281,562,1124,2248,4496
Greatest Common Factor
We found the factors 5324,4496 . The biggest common factor number is the GCF number.
So the greatest common factor 5324,4496 is 4.
Lets's calculate LCM of 996,4172
| 2 | 996, 4172 |
| 2 | 498, 2086 |
| 249, 1043 |
∴ So the LCM of the given numbers is 2 x 2 x 249 x 1043 = 1038828
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1038828
Therefore, the GCF of Fractions 5324/996,4496/4172 is 4/1038828
Least Common Multiple of 996,4172 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 996,4172 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(996,4172) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(996,4172) x common factors =4 x 1 = 4
LCM(996,4172) = ( 996 × 4172 ) / 4
LCM(996,4172) = 4155312 / 4
LCM(996,4172) = 1038828
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5324/996, 4496/4172
1. What is the HCF of 5324,4496?
The HCF of 5324,4496 is 4
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 5324/996, 4496/4172?
Answer: GCF of Numerators as per given numbers 5324/996, 4496/4172 is
GCF of Numerators i.e. for 5324,4496 is 4
LCM of denominators i.e. for 996,4172 is 1038828.
Thus, GCF of Fractions is 4/1038828.Finally, GCF of Fractions for 5324/996, 4496/4172 is 4/1038828.