GCF of 3477/725, 8124/8655
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3477/725, 8124/8655 i.e 3/1254975 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3477/725, 8124/8655.
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 3477/725,8124/8655?
Given fractions are 3477/725,8124/8655
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 3477/725,8124/8655, numerators are 3477,8124
Denominators are 725,8655
The GCF of 3477,8124 is 3 .
LCM of 725,8655 is 1254975.
The greatest common factor of 3477/725,8124/8655 = [GCF of 3477,8124]/[LCM of 725,8655]= 3/1254975
Therefore, the GCF of 3477/725,8124/8655 is 3/1254975.
To find the highest common factor of 3477,8124, 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 8124 are 1, 2, 3, 4, 6, 12, 677, 1354, 2031, 2708, 4062, 8124
The HCF of 3477,8124 is 3.
Lets's calculate GCF of 3477,8124
| 3 | 3477, 8124 |
| 1159, 2708 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3477,8124 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 8124
:1,2,3,4,6,12,677,1354,2031,2708,4062,8124
Greatest Common Factor
We found the factors 3477,8124 . The biggest common factor number is the GCF number.
So the greatest common factor 3477,8124 is 3.
Lets's calculate LCM of 725,8655
| 5 | 725, 8655 |
| 145, 1731 |
∴ So the LCM of the given numbers is 5 x 145 x 1731 = 1254975
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1254975
Therefore, the GCF of Fractions 3477/725,8124/8655 is 3/1254975
Least Common Multiple of 725,8655 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 725,8655 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(725,8655) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(725,8655) x common factors =5 x 1 = 5
LCM(725,8655) = ( 725 × 8655 ) / 5
LCM(725,8655) = 6274875 / 5
LCM(725,8655) = 1254975
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FAQs on GCF of Fractions of 3477/725, 8124/8655
1. What is the HCF of 3477,8124?
The HCF of 3477,8124 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 3477/725, 8124/8655?
Answer: GCF of Numerators as per given numbers 3477/725, 8124/8655 is
GCF of Numerators i.e. for 3477,8124 is 3
LCM of denominators i.e. for 725,8655 is 1254975.
Thus, GCF of Fractions is 3/1254975.Finally, GCF of Fractions for 3477/725, 8124/8655 is 3/1254975.