GCF of 4451/855, 3138/2600
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4451/855, 3138/2600 i.e 1/444600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4451/855, 3138/2600.
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 4451/855,3138/2600?
Given fractions are 4451/855,3138/2600
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 4451/855,3138/2600, numerators are 4451,3138
Denominators are 855,2600
The GCF of 4451,3138 is 1 .
LCM of 855,2600 is 444600.
The greatest common factor of 4451/855,3138/2600 = [GCF of 4451,3138]/[LCM of 855,2600]= 1/444600
Therefore, the GCF of 4451/855,3138/2600 is 1/444600.
To find the highest common factor of 4451,3138, we have to find the factors of both numbers and list the highest common factor.
The factors of 4451 are 1, 4451
The factors of 3138 are 1, 2, 3, 6, 523, 1046, 1569, 3138
The HCF of 4451,3138 is 1.
Lets's calculate GCF of 4451,3138
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4451,3138 By Matching Biggest Common Factor Method
Now, list down the factors of 4451
:1,4451
Now, list down the factors of 3138
:1,2,3,6,523,1046,1569,3138
Greatest Common Factor
We found the factors 4451,3138 . The biggest common factor number is the GCF number.
So the greatest common factor 4451,3138 is 1.
Lets's calculate LCM of 855,2600
| 5 | 855, 2600 |
| 171, 520 |
∴ So the LCM of the given numbers is 5 x 171 x 520 = 444600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/444600
Therefore, the GCF of Fractions 4451/855,3138/2600 is 1/444600
Least Common Multiple of 855,2600 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 855,2600 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(855,2600) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(855,2600) x common factors =5 x 1 = 5
LCM(855,2600) = ( 855 × 2600 ) / 5
LCM(855,2600) = 2223000 / 5
LCM(855,2600) = 444600
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FAQs on GCF of Fractions of 4451/855, 3138/2600
1. What is the HCF of 4451,3138?
The HCF of 4451,3138 is 1
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 4451/855, 3138/2600?
Answer: GCF of Numerators as per given numbers 4451/855, 3138/2600 is
GCF of Numerators i.e. for 4451,3138 is 1
LCM of denominators i.e. for 855,2600 is 444600.
Thus, GCF of Fractions is 1/444600.Finally, GCF of Fractions for 4451/855, 3138/2600 is 1/444600.