GCF of 2403/871, 6969/3420
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2403/871, 6969/3420 i.e 3/2978820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2403/871, 6969/3420.
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 2403/871,6969/3420?
Given fractions are 2403/871,6969/3420
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 2403/871,6969/3420, numerators are 2403,6969
Denominators are 871,3420
The GCF of 2403,6969 is 3 .
LCM of 871,3420 is 2978820.
The greatest common factor of 2403/871,6969/3420 = [GCF of 2403,6969]/[LCM of 871,3420]= 3/2978820
Therefore, the GCF of 2403/871,6969/3420 is 3/2978820.
To find the highest common factor of 2403,6969, we have to find the factors of both numbers and list the highest common factor.
The factors of 2403 are 1, 3, 9, 27, 89, 267, 801, 2403
The factors of 6969 are 1, 3, 23, 69, 101, 303, 2323, 6969
The HCF of 2403,6969 is 3.
Lets's calculate GCF of 2403,6969
| 3 | 2403, 6969 |
| 801, 2323 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2403,6969 By Matching Biggest Common Factor Method
Now, list down the factors of 2403
:1,3,9,27,89,267,801,2403
Now, list down the factors of 6969
:1,3,23,69,101,303,2323,6969
Greatest Common Factor
We found the factors 2403,6969 . The biggest common factor number is the GCF number.
So the greatest common factor 2403,6969 is 3.
Lets's calculate LCM of 871,3420
Given numbers has no common factors except 1. So, there LCM is their product i.e 2978820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2978820
Therefore, the GCF of Fractions 2403/871,6969/3420 is 3/2978820
Least Common Multiple of 871,3420 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 871,3420 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(871,3420) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(871,3420) x common factors =1 x 1 = 1
LCM(871,3420) = ( 871 × 3420 ) / 1
LCM(871,3420) = 2978820 / 1
LCM(871,3420) = 2978820
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FAQs on GCF of Fractions of 2403/871, 6969/3420
1. What is the HCF of 2403,6969?
The HCF of 2403,6969 is 3
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 2403/871, 6969/3420?
Answer: GCF of Numerators as per given numbers 2403/871, 6969/3420 is
GCF of Numerators i.e. for 2403,6969 is 3
LCM of denominators i.e. for 871,3420 is 2978820.
Thus, GCF of Fractions is 3/2978820.Finally, GCF of Fractions for 2403/871, 6969/3420 is 3/2978820.