GCF of 2520/620, 3381/2163
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2520/620, 3381/2163 i.e 21/1341060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2520/620, 3381/2163.
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 2520/620,3381/2163?
Given fractions are 2520/620,3381/2163
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 2520/620,3381/2163, numerators are 2520,3381
Denominators are 620,2163
The GCF of 2520,3381 is 21 .
LCM of 620,2163 is 1341060.
The greatest common factor of 2520/620,3381/2163 = [GCF of 2520,3381]/[LCM of 620,2163]= 21/1341060
Therefore, the GCF of 2520/620,3381/2163 is 21/1341060.
To find the highest common factor of 2520,3381, we have to find the factors of both numbers and list the highest common factor.
The factors of 2520 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 56, 60, 63, 70, 72, 84, 90, 105, 120, 126, 140, 168, 180, 210, 252, 280, 315, 360, 420, 504, 630, 840, 1260, 2520
The factors of 3381 are 1, 3, 7, 21, 23, 49, 69, 147, 161, 483, 1127, 3381
The HCF of 2520,3381 is 21.
Lets's calculate GCF of 2520,3381
| 3 | 2520, 3381 |
| 7 | 840, 1127 |
| 120, 161 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Greatest Common Factor of 2520,3381 By Matching Biggest Common Factor Method
Now, list down the factors of 2520
:1,2,3,4,5,6,7,8,9,10,12,14,15,18,20,21,24,28,30,35,36,40,42,45,56,60,63,70,72,84,90,105,120,126,140,168,180,210,252,280,315,360,420,504,630,840,1260,2520
Now, list down the factors of 3381
:1,3,7,21,23,49,69,147,161,483,1127,3381
Greatest Common Factor
We found the factors 2520,3381 . The biggest common factor number is the GCF number.
So the greatest common factor 2520,3381 is 21.
Lets's calculate LCM of 620,2163
Given numbers has no common factors except 1. So, there LCM is their product i.e 1341060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/1341060
Therefore, the GCF of Fractions 2520/620,3381/2163 is 21/1341060
Least Common Multiple of 620,2163 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 620,2163 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(620,2163) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(620,2163) x common factors =1 x 1 = 1
LCM(620,2163) = ( 620 × 2163 ) / 1
LCM(620,2163) = 1341060 / 1
LCM(620,2163) = 1341060
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FAQs on GCF of Fractions of 2520/620, 3381/2163
1. What is the HCF of 2520,3381?
The HCF of 2520,3381 is 21
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 2520/620, 3381/2163?
Answer: GCF of Numerators as per given numbers 2520/620, 3381/2163 is
GCF of Numerators i.e. for 2520,3381 is 21
LCM of denominators i.e. for 620,2163 is 1341060.
Thus, GCF of Fractions is 21/1341060.Finally, GCF of Fractions for 2520/620, 3381/2163 is 21/1341060.