GCF of 5672/876, 3640/3817
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5672/876, 3640/3817 i.e 8/3343692 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5672/876, 3640/3817.
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 5672/876,3640/3817?
Given fractions are 5672/876,3640/3817
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 5672/876,3640/3817, numerators are 5672,3640
Denominators are 876,3817
The GCF of 5672,3640 is 8 .
LCM of 876,3817 is 3343692.
The greatest common factor of 5672/876,3640/3817 = [GCF of 5672,3640]/[LCM of 876,3817]= 8/3343692
Therefore, the GCF of 5672/876,3640/3817 is 8/3343692.
To find the highest common factor of 5672,3640, we have to find the factors of both numbers and list the highest common factor.
The factors of 5672 are 1, 2, 4, 8, 709, 1418, 2836, 5672
The factors of 3640 are 1, 2, 4, 5, 7, 8, 10, 13, 14, 20, 26, 28, 35, 40, 52, 56, 65, 70, 91, 104, 130, 140, 182, 260, 280, 364, 455, 520, 728, 910, 1820, 3640
The HCF of 5672,3640 is 8.
Lets's calculate GCF of 5672,3640
| 2 | 5672, 3640 |
| 2 | 2836, 1820 |
| 2 | 1418, 910 |
| 709, 455 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 5672,3640 By Matching Biggest Common Factor Method
Now, list down the factors of 5672
:1,2,4,8,709,1418,2836,5672
Now, list down the factors of 3640
:1,2,4,5,7,8,10,13,14,20,26,28,35,40,52,56,65,70,91,104,130,140,182,260,280,364,455,520,728,910,1820,3640
Greatest Common Factor
We found the factors 5672,3640 . The biggest common factor number is the GCF number.
So the greatest common factor 5672,3640 is 8.
Lets's calculate LCM of 876,3817
Given numbers has no common factors except 1. So, there LCM is their product i.e 3343692
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/3343692
Therefore, the GCF of Fractions 5672/876,3640/3817 is 8/3343692
Least Common Multiple of 876,3817 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 876,3817 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(876,3817) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(876,3817) x common factors =1 x 1 = 1
LCM(876,3817) = ( 876 × 3817 ) / 1
LCM(876,3817) = 3343692 / 1
LCM(876,3817) = 3343692
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FAQs on GCF of Fractions of 5672/876, 3640/3817
1. What is the HCF of 5672,3640?
The HCF of 5672,3640 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 5672/876, 3640/3817?
Answer: GCF of Numerators as per given numbers 5672/876, 3640/3817 is
GCF of Numerators i.e. for 5672,3640 is 8
LCM of denominators i.e. for 876,3817 is 3343692.
Thus, GCF of Fractions is 8/3343692.Finally, GCF of Fractions for 5672/876, 3640/3817 is 8/3343692.