GCF of 3576/876, 3400/365
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3576/876, 3400/365 i.e 8/4380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3576/876, 3400/365.
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 3576/876,3400/365?
Given fractions are 3576/876,3400/365
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 3576/876,3400/365, numerators are 3576,3400
Denominators are 876,365
The GCF of 3576,3400 is 8 .
LCM of 876,365 is 4380.
The greatest common factor of 3576/876,3400/365 = [GCF of 3576,3400]/[LCM of 876,365]= 8/4380
Therefore, the GCF of 3576/876,3400/365 is 8/4380.
To find the highest common factor of 3576,3400, we have to find the factors of both numbers and list the highest common factor.
The factors of 3576 are 1, 2, 3, 4, 6, 8, 12, 24, 149, 298, 447, 596, 894, 1192, 1788, 3576
The factors of 3400 are 1, 2, 4, 5, 8, 10, 17, 20, 25, 34, 40, 50, 68, 85, 100, 136, 170, 200, 340, 425, 680, 850, 1700, 3400
The HCF of 3576,3400 is 8.
Lets's calculate GCF of 3576,3400
| 2 | 3576, 3400 |
| 2 | 1788, 1700 |
| 2 | 894, 850 |
| 447, 425 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 3576,3400 By Matching Biggest Common Factor Method
Now, list down the factors of 3576
:1,2,3,4,6,8,12,24,149,298,447,596,894,1192,1788,3576
Now, list down the factors of 3400
:1,2,4,5,8,10,17,20,25,34,40,50,68,85,100,136,170,200,340,425,680,850,1700,3400
Greatest Common Factor
We found the factors 3576,3400 . The biggest common factor number is the GCF number.
So the greatest common factor 3576,3400 is 8.
Lets's calculate LCM of 876,365
| 73 | 876, 365 |
| 12, 5 |
∴ So the LCM of the given numbers is 73 x 12 x 5 = 4380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/4380
Therefore, the GCF of Fractions 3576/876,3400/365 is 8/4380
Least Common Multiple of 876,365 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 876,365 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(876,365) = 73
common factors(in case of two or more numbers have common factors) = 1
GCF(876,365) x common factors =73 x 1 = 73
LCM(876,365) = ( 876 × 365 ) / 73
LCM(876,365) = 319740 / 73
LCM(876,365) = 4380
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FAQs on GCF of Fractions of 3576/876, 3400/365
1. What is the HCF of 3576,3400?
The HCF of 3576,3400 is 8
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 3576/876, 3400/365?
Answer: GCF of Numerators as per given numbers 3576/876, 3400/365 is
GCF of Numerators i.e. for 3576,3400 is 8
LCM of denominators i.e. for 876,365 is 4380.
Thus, GCF of Fractions is 8/4380.Finally, GCF of Fractions for 3576/876, 3400/365 is 8/4380.