GCF of 2140/395, 4240/552
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2140/395, 4240/552 i.e 20/218040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2140/395, 4240/552.
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 2140/395,4240/552?
Given fractions are 2140/395,4240/552
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 2140/395,4240/552, numerators are 2140,4240
Denominators are 395,552
The GCF of 2140,4240 is 20 .
LCM of 395,552 is 218040.
The greatest common factor of 2140/395,4240/552 = [GCF of 2140,4240]/[LCM of 395,552]= 20/218040
Therefore, the GCF of 2140/395,4240/552 is 20/218040.
To find the highest common factor of 2140,4240, we have to find the factors of both numbers and list the highest common factor.
The factors of 2140 are 1, 2, 4, 5, 10, 20, 107, 214, 428, 535, 1070, 2140
The factors of 4240 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 53, 80, 106, 212, 265, 424, 530, 848, 1060, 2120, 4240
The HCF of 2140,4240 is 20.
Lets's calculate GCF of 2140,4240
| 2 | 2140, 4240 |
| 2 | 1070, 2120 |
| 5 | 535, 1060 |
| 107, 212 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 2140,4240 By Matching Biggest Common Factor Method
Now, list down the factors of 2140
:1,2,4,5,10,20,107,214,428,535,1070,2140
Now, list down the factors of 4240
:1,2,4,5,8,10,16,20,40,53,80,106,212,265,424,530,848,1060,2120,4240
Greatest Common Factor
We found the factors 2140,4240 . The biggest common factor number is the GCF number.
So the greatest common factor 2140,4240 is 20.
Lets's calculate LCM of 395,552
Given numbers has no common factors except 1. So, there LCM is their product i.e 218040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/218040
Therefore, the GCF of Fractions 2140/395,4240/552 is 20/218040
Least Common Multiple of 395,552 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 395,552 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(395,552) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(395,552) x common factors =1 x 1 = 1
LCM(395,552) = ( 395 × 552 ) / 1
LCM(395,552) = 218040 / 1
LCM(395,552) = 218040
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FAQs on GCF of Fractions of 2140/395, 4240/552
1. What is the HCF of 2140,4240?
The HCF of 2140,4240 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 2140/395, 4240/552?
Answer: GCF of Numerators as per given numbers 2140/395, 4240/552 is
GCF of Numerators i.e. for 2140,4240 is 20
LCM of denominators i.e. for 395,552 is 218040.
Thus, GCF of Fractions is 20/218040.Finally, GCF of Fractions for 2140/395, 4240/552 is 20/218040.