GCF of 2100/566, 6548/2369
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2100/566, 6548/2369 i.e 4/1340854 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2100/566, 6548/2369.
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 2100/566,6548/2369?
Given fractions are 2100/566,6548/2369
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 2100/566,6548/2369, numerators are 2100,6548
Denominators are 566,2369
The GCF of 2100,6548 is 4 .
LCM of 566,2369 is 1340854.
The greatest common factor of 2100/566,6548/2369 = [GCF of 2100,6548]/[LCM of 566,2369]= 4/1340854
Therefore, the GCF of 2100/566,6548/2369 is 4/1340854.
To find the highest common factor of 2100,6548, we have to find the factors of both numbers and list the highest common factor.
The factors of 2100 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 25, 28, 30, 35, 42, 50, 60, 70, 75, 84, 100, 105, 140, 150, 175, 210, 300, 350, 420, 525, 700, 1050, 2100
The factors of 6548 are 1, 2, 4, 1637, 3274, 6548
The HCF of 2100,6548 is 4.
Lets's calculate GCF of 2100,6548
| 2 | 2100, 6548 |
| 2 | 1050, 3274 |
| 525, 1637 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 2100,6548 By Matching Biggest Common Factor Method
Now, list down the factors of 2100
:1,2,3,4,5,6,7,10,12,14,15,20,21,25,28,30,35,42,50,60,70,75,84,100,105,140,150,175,210,300,350,420,525,700,1050,2100
Now, list down the factors of 6548
:1,2,4,1637,3274,6548
Greatest Common Factor
We found the factors 2100,6548 . The biggest common factor number is the GCF number.
So the greatest common factor 2100,6548 is 4.
Lets's calculate LCM of 566,2369
Given numbers has no common factors except 1. So, there LCM is their product i.e 1340854
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1340854
Therefore, the GCF of Fractions 2100/566,6548/2369 is 4/1340854
Least Common Multiple of 566,2369 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 566,2369 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(566,2369) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(566,2369) x common factors =1 x 1 = 1
LCM(566,2369) = ( 566 × 2369 ) / 1
LCM(566,2369) = 1340854 / 1
LCM(566,2369) = 1340854
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 2100/566, 6548/2369
1. What is the HCF of 2100,6548?
The HCF of 2100,6548 is 4
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 2100/566, 6548/2369?
Answer: GCF of Numerators as per given numbers 2100/566, 6548/2369 is
GCF of Numerators i.e. for 2100,6548 is 4
LCM of denominators i.e. for 566,2369 is 1340854.
Thus, GCF of Fractions is 4/1340854.Finally, GCF of Fractions for 2100/566, 6548/2369 is 4/1340854.