GCF of 4850/312, 2000/127
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4850/312, 2000/127 i.e 50/39624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4850/312, 2000/127.
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 4850/312,2000/127?
Given fractions are 4850/312,2000/127
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 4850/312,2000/127, numerators are 4850,2000
Denominators are 312,127
The GCF of 4850,2000 is 50 .
LCM of 312,127 is 39624.
The greatest common factor of 4850/312,2000/127 = [GCF of 4850,2000]/[LCM of 312,127]= 50/39624
Therefore, the GCF of 4850/312,2000/127 is 50/39624.
To find the highest common factor of 4850,2000, we have to find the factors of both numbers and list the highest common factor.
The factors of 4850 are 1, 2, 5, 10, 25, 50, 97, 194, 485, 970, 2425, 4850
The factors of 2000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 125, 200, 250, 400, 500, 1000, 2000
The HCF of 4850,2000 is 50.
Lets's calculate GCF of 4850,2000
| 2 | 4850, 2000 |
| 5 | 2425, 1000 |
| 5 | 485, 200 |
| 97, 40 |
∴ So the GCF of the given numbers is 2 x 5 x 5 = 50
Greatest Common Factor of 4850,2000 By Matching Biggest Common Factor Method
Now, list down the factors of 4850
:1,2,5,10,25,50,97,194,485,970,2425,4850
Now, list down the factors of 2000
:1,2,4,5,8,10,16,20,25,40,50,80,100,125,200,250,400,500,1000,2000
Greatest Common Factor
We found the factors 4850,2000 . The biggest common factor number is the GCF number.
So the greatest common factor 4850,2000 is 50.
Lets's calculate LCM of 312,127
Given numbers has no common factors except 1. So, there LCM is their product i.e 39624
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 50/39624
Therefore, the GCF of Fractions 4850/312,2000/127 is 50/39624
Least Common Multiple of 312,127 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 312,127 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(312,127) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(312,127) x common factors =1 x 1 = 1
LCM(312,127) = ( 312 × 127 ) / 1
LCM(312,127) = 39624 / 1
LCM(312,127) = 39624
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FAQs on GCF of Fractions of 4850/312, 2000/127
1. What is the HCF of 4850,2000?
The HCF of 4850,2000 is 50
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 4850/312, 2000/127?
Answer: GCF of Numerators as per given numbers 4850/312, 2000/127 is
GCF of Numerators i.e. for 4850,2000 is 50
LCM of denominators i.e. for 312,127 is 39624.
Thus, GCF of Fractions is 50/39624.Finally, GCF of Fractions for 4850/312, 2000/127 is 50/39624.