GCF of 5020/142, 2700/2955
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5020/142, 2700/2955 i.e 20/419610 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5020/142, 2700/2955.
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 5020/142,2700/2955?
Given fractions are 5020/142,2700/2955
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 5020/142,2700/2955, numerators are 5020,2700
Denominators are 142,2955
The GCF of 5020,2700 is 20 .
LCM of 142,2955 is 419610.
The greatest common factor of 5020/142,2700/2955 = [GCF of 5020,2700]/[LCM of 142,2955]= 20/419610
Therefore, the GCF of 5020/142,2700/2955 is 20/419610.
To find the highest common factor of 5020,2700, we have to find the factors of both numbers and list the highest common factor.
The factors of 5020 are 1, 2, 4, 5, 10, 20, 251, 502, 1004, 1255, 2510, 5020
The factors of 2700 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 90, 100, 108, 135, 150, 180, 225, 270, 300, 450, 540, 675, 900, 1350, 2700
The HCF of 5020,2700 is 20.
Lets's calculate GCF of 5020,2700
| 2 | 5020, 2700 |
| 2 | 2510, 1350 |
| 5 | 1255, 675 |
| 251, 135 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 5020,2700 By Matching Biggest Common Factor Method
Now, list down the factors of 5020
:1,2,4,5,10,20,251,502,1004,1255,2510,5020
Now, list down the factors of 2700
:1,2,3,4,5,6,9,10,12,15,18,20,25,27,30,36,45,50,54,60,75,90,100,108,135,150,180,225,270,300,450,540,675,900,1350,2700
Greatest Common Factor
We found the factors 5020,2700 . The biggest common factor number is the GCF number.
So the greatest common factor 5020,2700 is 20.
Lets's calculate LCM of 142,2955
Given numbers has no common factors except 1. So, there LCM is their product i.e 419610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/419610
Therefore, the GCF of Fractions 5020/142,2700/2955 is 20/419610
Least Common Multiple of 142,2955 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 142,2955 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(142,2955) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(142,2955) x common factors =1 x 1 = 1
LCM(142,2955) = ( 142 × 2955 ) / 1
LCM(142,2955) = 419610 / 1
LCM(142,2955) = 419610
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FAQs on GCF of Fractions of 5020/142, 2700/2955
1. What is the HCF of 5020,2700?
The HCF of 5020,2700 is 20
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 5020/142, 2700/2955?
Answer: GCF of Numerators as per given numbers 5020/142, 2700/2955 is
GCF of Numerators i.e. for 5020,2700 is 20
LCM of denominators i.e. for 142,2955 is 419610.
Thus, GCF of Fractions is 20/419610.Finally, GCF of Fractions for 5020/142, 2700/2955 is 20/419610.