GCF of 5767/466, 3869/172
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5767/466, 3869/172 i.e 73/40076 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5767/466, 3869/172.
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 5767/466,3869/172?
Given fractions are 5767/466,3869/172
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 5767/466,3869/172, numerators are 5767,3869
Denominators are 466,172
The GCF of 5767,3869 is 73 .
LCM of 466,172 is 40076.
The greatest common factor of 5767/466,3869/172 = [GCF of 5767,3869]/[LCM of 466,172]= 73/40076
Therefore, the GCF of 5767/466,3869/172 is 73/40076.
To find the highest common factor of 5767,3869, we have to find the factors of both numbers and list the highest common factor.
The factors of 5767 are 1, 73, 79, 5767
The factors of 3869 are 1, 53, 73, 3869
The HCF of 5767,3869 is 73.
Lets's calculate GCF of 5767,3869
| 73 | 5767, 3869 |
| 79, 53 |
∴ So the GCF of the given numbers is 73 = 73
Greatest Common Factor of 5767,3869 By Matching Biggest Common Factor Method
Now, list down the factors of 5767
:1,73,79,5767
Now, list down the factors of 3869
:1,53,73,3869
Greatest Common Factor
We found the factors 5767,3869 . The biggest common factor number is the GCF number.
So the greatest common factor 5767,3869 is 73.
Lets's calculate LCM of 466,172
| 2 | 466, 172 |
| 233, 86 |
∴ So the LCM of the given numbers is 2 x 233 x 86 = 40076
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 73/40076
Therefore, the GCF of Fractions 5767/466,3869/172 is 73/40076
Least Common Multiple of 466,172 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 466,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(466,172) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(466,172) x common factors =2 x 1 = 2
LCM(466,172) = ( 466 × 172 ) / 2
LCM(466,172) = 80152 / 2
LCM(466,172) = 40076
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FAQs on GCF of Fractions of 5767/466, 3869/172
1. What is the HCF of 5767,3869?
The HCF of 5767,3869 is 73
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 5767/466, 3869/172?
Answer: GCF of Numerators as per given numbers 5767/466, 3869/172 is
GCF of Numerators i.e. for 5767,3869 is 73
LCM of denominators i.e. for 466,172 is 40076.
Thus, GCF of Fractions is 73/40076.Finally, GCF of Fractions for 5767/466, 3869/172 is 73/40076.