GCF of 5641/471, 1157/636
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5641/471, 1157/636 i.e 1/99852 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5641/471, 1157/636.
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 5641/471,1157/636?
Given fractions are 5641/471,1157/636
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 5641/471,1157/636, numerators are 5641,1157
Denominators are 471,636
The GCF of 5641,1157 is 1 .
LCM of 471,636 is 99852.
The greatest common factor of 5641/471,1157/636 = [GCF of 5641,1157]/[LCM of 471,636]= 1/99852
Therefore, the GCF of 5641/471,1157/636 is 1/99852.
To find the highest common factor of 5641,1157, we have to find the factors of both numbers and list the highest common factor.
The factors of 5641 are 1, 5641
The factors of 1157 are 1, 13, 89, 1157
The HCF of 5641,1157 is 1.
Lets's calculate GCF of 5641,1157
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5641,1157 By Matching Biggest Common Factor Method
Now, list down the factors of 5641
:1,5641
Now, list down the factors of 1157
:1,13,89,1157
Greatest Common Factor
We found the factors 5641,1157 . The biggest common factor number is the GCF number.
So the greatest common factor 5641,1157 is 1.
Lets's calculate LCM of 471,636
| 3 | 471, 636 |
| 157, 212 |
∴ So the LCM of the given numbers is 3 x 157 x 212 = 99852
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/99852
Therefore, the GCF of Fractions 5641/471,1157/636 is 1/99852
Least Common Multiple of 471,636 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 471,636 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(471,636) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(471,636) x common factors =3 x 1 = 3
LCM(471,636) = ( 471 × 636 ) / 3
LCM(471,636) = 299556 / 3
LCM(471,636) = 99852
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5641/471, 1157/636
1. What is the HCF of 5641,1157?
The HCF of 5641,1157 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 5641/471, 1157/636?
Answer: GCF of Numerators as per given numbers 5641/471, 1157/636 is
GCF of Numerators i.e. for 5641,1157 is 1
LCM of denominators i.e. for 471,636 is 99852.
Thus, GCF of Fractions is 1/99852.Finally, GCF of Fractions for 5641/471, 1157/636 is 1/99852.