GCF of 4403/444, 5846/687
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4403/444, 5846/687 i.e 37/101676 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4403/444, 5846/687.
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 4403/444,5846/687?
Given fractions are 4403/444,5846/687
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 4403/444,5846/687, numerators are 4403,5846
Denominators are 444,687
The GCF of 4403,5846 is 37 .
LCM of 444,687 is 101676.
The greatest common factor of 4403/444,5846/687 = [GCF of 4403,5846]/[LCM of 444,687]= 37/101676
Therefore, the GCF of 4403/444,5846/687 is 37/101676.
To find the highest common factor of 4403,5846, we have to find the factors of both numbers and list the highest common factor.
The factors of 4403 are 1, 7, 17, 37, 119, 259, 629, 4403
The factors of 5846 are 1, 2, 37, 74, 79, 158, 2923, 5846
The HCF of 4403,5846 is 37.
Lets's calculate GCF of 4403,5846
| 37 | 4403, 5846 |
| 119, 158 |
∴ So the GCF of the given numbers is 37 = 37
Greatest Common Factor of 4403,5846 By Matching Biggest Common Factor Method
Now, list down the factors of 4403
:1,7,17,37,119,259,629,4403
Now, list down the factors of 5846
:1,2,37,74,79,158,2923,5846
Greatest Common Factor
We found the factors 4403,5846 . The biggest common factor number is the GCF number.
So the greatest common factor 4403,5846 is 37.
Lets's calculate LCM of 444,687
| 3 | 444, 687 |
| 148, 229 |
∴ So the LCM of the given numbers is 3 x 148 x 229 = 101676
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/101676
Therefore, the GCF of Fractions 4403/444,5846/687 is 37/101676
Least Common Multiple of 444,687 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 444,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(444,687) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(444,687) x common factors =3 x 1 = 3
LCM(444,687) = ( 444 × 687 ) / 3
LCM(444,687) = 305028 / 3
LCM(444,687) = 101676
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FAQs on GCF of Fractions of 4403/444, 5846/687
1. What is the HCF of 4403,5846?
The HCF of 4403,5846 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 4403/444, 5846/687?
Answer: GCF of Numerators as per given numbers 4403/444, 5846/687 is
GCF of Numerators i.e. for 4403,5846 is 37
LCM of denominators i.e. for 444,687 is 101676.
Thus, GCF of Fractions is 37/101676.Finally, GCF of Fractions for 4403/444, 5846/687 is 37/101676.