GCF of 2464/994, 6000/2505
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2464/994, 6000/2505 i.e 16/2489970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2464/994, 6000/2505.
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 2464/994,6000/2505?
Given fractions are 2464/994,6000/2505
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 2464/994,6000/2505, numerators are 2464,6000
Denominators are 994,2505
The GCF of 2464,6000 is 16 .
LCM of 994,2505 is 2489970.
The greatest common factor of 2464/994,6000/2505 = [GCF of 2464,6000]/[LCM of 994,2505]= 16/2489970
Therefore, the GCF of 2464/994,6000/2505 is 16/2489970.
To find the highest common factor of 2464,6000, we have to find the factors of both numbers and list the highest common factor.
The factors of 2464 are 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 56, 77, 88, 112, 154, 176, 224, 308, 352, 616, 1232, 2464
The factors of 6000 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 125, 150, 200, 240, 250, 300, 375, 400, 500, 600, 750, 1000, 1200, 1500, 2000, 3000, 6000
The HCF of 2464,6000 is 16.
Lets's calculate GCF of 2464,6000
| 2 | 2464, 6000 |
| 2 | 1232, 3000 |
| 2 | 616, 1500 |
| 2 | 308, 750 |
| 154, 375 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 2464,6000 By Matching Biggest Common Factor Method
Now, list down the factors of 2464
:1,2,4,7,8,11,14,16,22,28,32,44,56,77,88,112,154,176,224,308,352,616,1232,2464
Now, list down the factors of 6000
:1,2,3,4,5,6,8,10,12,15,16,20,24,25,30,40,48,50,60,75,80,100,120,125,150,200,240,250,300,375,400,500,600,750,1000,1200,1500,2000,3000,6000
Greatest Common Factor
We found the factors 2464,6000 . The biggest common factor number is the GCF number.
So the greatest common factor 2464,6000 is 16.
Lets's calculate LCM of 994,2505
Given numbers has no common factors except 1. So, there LCM is their product i.e 2489970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/2489970
Therefore, the GCF of Fractions 2464/994,6000/2505 is 16/2489970
Least Common Multiple of 994,2505 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 994,2505 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(994,2505) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(994,2505) x common factors =1 x 1 = 1
LCM(994,2505) = ( 994 × 2505 ) / 1
LCM(994,2505) = 2489970 / 1
LCM(994,2505) = 2489970
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FAQs on GCF of Fractions of 2464/994, 6000/2505
1. What is the HCF of 2464,6000?
The HCF of 2464,6000 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 2464/994, 6000/2505?
Answer: GCF of Numerators as per given numbers 2464/994, 6000/2505 is
GCF of Numerators i.e. for 2464,6000 is 16
LCM of denominators i.e. for 994,2505 is 2489970.
Thus, GCF of Fractions is 16/2489970.Finally, GCF of Fractions for 2464/994, 6000/2505 is 16/2489970.