GCF of 4576/974, 3920/6178
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4576/974, 3920/6178 i.e 16/3008686 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4576/974, 3920/6178.
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 4576/974,3920/6178?
Given fractions are 4576/974,3920/6178
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 4576/974,3920/6178, numerators are 4576,3920
Denominators are 974,6178
The GCF of 4576,3920 is 16 .
LCM of 974,6178 is 3008686.
The greatest common factor of 4576/974,3920/6178 = [GCF of 4576,3920]/[LCM of 974,6178]= 16/3008686
Therefore, the GCF of 4576/974,3920/6178 is 16/3008686.
To find the highest common factor of 4576,3920, we have to find the factors of both numbers and list the highest common factor.
The factors of 4576 are 1, 2, 4, 8, 11, 13, 16, 22, 26, 32, 44, 52, 88, 104, 143, 176, 208, 286, 352, 416, 572, 1144, 2288, 4576
The factors of 3920 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 49, 56, 70, 80, 98, 112, 140, 196, 245, 280, 392, 490, 560, 784, 980, 1960, 3920
The HCF of 4576,3920 is 16.
Lets's calculate GCF of 4576,3920
| 2 | 4576, 3920 |
| 2 | 2288, 1960 |
| 2 | 1144, 980 |
| 2 | 572, 490 |
| 286, 245 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 4576,3920 By Matching Biggest Common Factor Method
Now, list down the factors of 4576
:1,2,4,8,11,13,16,22,26,32,44,52,88,104,143,176,208,286,352,416,572,1144,2288,4576
Now, list down the factors of 3920
:1,2,4,5,7,8,10,14,16,20,28,35,40,49,56,70,80,98,112,140,196,245,280,392,490,560,784,980,1960,3920
Greatest Common Factor
We found the factors 4576,3920 . The biggest common factor number is the GCF number.
So the greatest common factor 4576,3920 is 16.
Lets's calculate LCM of 974,6178
| 2 | 974, 6178 |
| 487, 3089 |
∴ So the LCM of the given numbers is 2 x 487 x 3089 = 3008686
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/3008686
Therefore, the GCF of Fractions 4576/974,3920/6178 is 16/3008686
Least Common Multiple of 974,6178 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 974,6178 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(974,6178) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(974,6178) x common factors =2 x 1 = 2
LCM(974,6178) = ( 974 × 6178 ) / 2
LCM(974,6178) = 6017372 / 2
LCM(974,6178) = 3008686
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 4576/974, 3920/6178
1. What is the HCF of 4576,3920?
The HCF of 4576,3920 is 16
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 4576/974, 3920/6178?
Answer: GCF of Numerators as per given numbers 4576/974, 3920/6178 is
GCF of Numerators i.e. for 4576,3920 is 16
LCM of denominators i.e. for 974,6178 is 3008686.
Thus, GCF of Fractions is 16/3008686.Finally, GCF of Fractions for 4576/974, 3920/6178 is 16/3008686.