GCF of 5631/354, 1413/3561
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5631/354, 1413/3561 i.e 3/420198 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5631/354, 1413/3561.
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 5631/354,1413/3561?
Given fractions are 5631/354,1413/3561
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 5631/354,1413/3561, numerators are 5631,1413
Denominators are 354,3561
The GCF of 5631,1413 is 3 .
LCM of 354,3561 is 420198.
The greatest common factor of 5631/354,1413/3561 = [GCF of 5631,1413]/[LCM of 354,3561]= 3/420198
Therefore, the GCF of 5631/354,1413/3561 is 3/420198.
To find the highest common factor of 5631,1413, we have to find the factors of both numbers and list the highest common factor.
The factors of 5631 are 1, 3, 1877, 5631
The factors of 1413 are 1, 3, 9, 157, 471, 1413
The HCF of 5631,1413 is 3.
Lets's calculate GCF of 5631,1413
| 3 | 5631, 1413 |
| 1877, 471 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5631,1413 By Matching Biggest Common Factor Method
Now, list down the factors of 5631
:1,3,1877,5631
Now, list down the factors of 1413
:1,3,9,157,471,1413
Greatest Common Factor
We found the factors 5631,1413 . The biggest common factor number is the GCF number.
So the greatest common factor 5631,1413 is 3.
Lets's calculate LCM of 354,3561
| 3 | 354, 3561 |
| 118, 1187 |
∴ So the LCM of the given numbers is 3 x 118 x 1187 = 420198
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/420198
Therefore, the GCF of Fractions 5631/354,1413/3561 is 3/420198
Least Common Multiple of 354,3561 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 354,3561 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(354,3561) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(354,3561) x common factors =3 x 1 = 3
LCM(354,3561) = ( 354 × 3561 ) / 3
LCM(354,3561) = 1260594 / 3
LCM(354,3561) = 420198
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5631/354, 1413/3561
1. What is the HCF of 5631,1413?
The HCF of 5631,1413 is 3
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 5631/354, 1413/3561?
Answer: GCF of Numerators as per given numbers 5631/354, 1413/3561 is
GCF of Numerators i.e. for 5631,1413 is 3
LCM of denominators i.e. for 354,3561 is 420198.
Thus, GCF of Fractions is 3/420198.Finally, GCF of Fractions for 5631/354, 1413/3561 is 3/420198.