GCF of 4181/564, 1887/5687
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4181/564, 1887/5687 i.e 37/68244 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4181/564, 1887/5687.
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 4181/564,1887/5687?
Given fractions are 4181/564,1887/5687
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 4181/564,1887/5687, numerators are 4181,1887
Denominators are 564,5687
The GCF of 4181,1887 is 37 .
LCM of 564,5687 is 68244.
The greatest common factor of 4181/564,1887/5687 = [GCF of 4181,1887]/[LCM of 564,5687]= 37/68244
Therefore, the GCF of 4181/564,1887/5687 is 37/68244.
To find the highest common factor of 4181,1887, we have to find the factors of both numbers and list the highest common factor.
The factors of 4181 are 1, 37, 113, 4181
The factors of 1887 are 1, 3, 17, 37, 51, 111, 629, 1887
The HCF of 4181,1887 is 37.
Lets's calculate GCF of 4181,1887
| 37 | 4181, 1887 |
| 113, 51 |
∴ So the GCF of the given numbers is 37 = 37
Greatest Common Factor of 4181,1887 By Matching Biggest Common Factor Method
Now, list down the factors of 4181
:1,37,113,4181
Now, list down the factors of 1887
:1,3,17,37,51,111,629,1887
Greatest Common Factor
We found the factors 4181,1887 . The biggest common factor number is the GCF number.
So the greatest common factor 4181,1887 is 37.
Lets's calculate LCM of 564,5687
| 47 | 564, 5687 |
| 12, 121 |
∴ So the LCM of the given numbers is 47 x 12 x 121 = 68244
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/68244
Therefore, the GCF of Fractions 4181/564,1887/5687 is 37/68244
Least Common Multiple of 564,5687 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 564,5687 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(564,5687) = 47
common factors(in case of two or more numbers have common factors) = 1
GCF(564,5687) x common factors =47 x 1 = 47
LCM(564,5687) = ( 564 × 5687 ) / 47
LCM(564,5687) = 3207468 / 47
LCM(564,5687) = 68244
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FAQs on GCF of Fractions of 4181/564, 1887/5687
1. What is the HCF of 4181,1887?
The HCF of 4181,1887 is 37
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 4181/564, 1887/5687?
Answer: GCF of Numerators as per given numbers 4181/564, 1887/5687 is
GCF of Numerators i.e. for 4181,1887 is 37
LCM of denominators i.e. for 564,5687 is 68244.
Thus, GCF of Fractions is 37/68244.Finally, GCF of Fractions for 4181/564, 1887/5687 is 37/68244.