GCF of 3477/251, 8472/2884
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3477/251, 8472/2884 i.e 3/723884 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3477/251, 8472/2884.
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 3477/251,8472/2884?
Given fractions are 3477/251,8472/2884
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 3477/251,8472/2884, numerators are 3477,8472
Denominators are 251,2884
The GCF of 3477,8472 is 3 .
LCM of 251,2884 is 723884.
The greatest common factor of 3477/251,8472/2884 = [GCF of 3477,8472]/[LCM of 251,2884]= 3/723884
Therefore, the GCF of 3477/251,8472/2884 is 3/723884.
To find the highest common factor of 3477,8472, we have to find the factors of both numbers and list the highest common factor.
The factors of 3477 are 1, 3, 19, 57, 61, 183, 1159, 3477
The factors of 8472 are 1, 2, 3, 4, 6, 8, 12, 24, 353, 706, 1059, 1412, 2118, 2824, 4236, 8472
The HCF of 3477,8472 is 3.
Lets's calculate GCF of 3477,8472
| 3 | 3477, 8472 |
| 1159, 2824 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3477,8472 By Matching Biggest Common Factor Method
Now, list down the factors of 3477
:1,3,19,57,61,183,1159,3477
Now, list down the factors of 8472
:1,2,3,4,6,8,12,24,353,706,1059,1412,2118,2824,4236,8472
Greatest Common Factor
We found the factors 3477,8472 . The biggest common factor number is the GCF number.
So the greatest common factor 3477,8472 is 3.
Lets's calculate LCM of 251,2884
Given numbers has no common factors except 1. So, there LCM is their product i.e 723884
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/723884
Therefore, the GCF of Fractions 3477/251,8472/2884 is 3/723884
Least Common Multiple of 251,2884 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 251,2884 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(251,2884) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(251,2884) x common factors =1 x 1 = 1
LCM(251,2884) = ( 251 × 2884 ) / 1
LCM(251,2884) = 723884 / 1
LCM(251,2884) = 723884
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3477/251, 8472/2884
1. What is the HCF of 3477,8472?
The HCF of 3477,8472 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 3477/251, 8472/2884?
Answer: GCF of Numerators as per given numbers 3477/251, 8472/2884 is
GCF of Numerators i.e. for 3477,8472 is 3
LCM of denominators i.e. for 251,2884 is 723884.
Thus, GCF of Fractions is 3/723884.Finally, GCF of Fractions for 3477/251, 8472/2884 is 3/723884.