GCF of 5315/749, 1109/5544
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5315/749, 1109/5544 i.e 1/593208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5315/749, 1109/5544.
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 5315/749,1109/5544?
Given fractions are 5315/749,1109/5544
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 5315/749,1109/5544, numerators are 5315,1109
Denominators are 749,5544
The GCF of 5315,1109 is 1 .
LCM of 749,5544 is 593208.
The greatest common factor of 5315/749,1109/5544 = [GCF of 5315,1109]/[LCM of 749,5544]= 1/593208
Therefore, the GCF of 5315/749,1109/5544 is 1/593208.
To find the highest common factor of 5315,1109, we have to find the factors of both numbers and list the highest common factor.
The factors of 5315 are 1, 5, 1063, 5315
The factors of 1109 are 1, 1109
The HCF of 5315,1109 is 1.
Lets's calculate GCF of 5315,1109
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5315,1109 By Matching Biggest Common Factor Method
Now, list down the factors of 5315
:1,5,1063,5315
Now, list down the factors of 1109
:1,1109
Greatest Common Factor
We found the factors 5315,1109 . The biggest common factor number is the GCF number.
So the greatest common factor 5315,1109 is 1.
Lets's calculate LCM of 749,5544
| 7 | 749, 5544 |
| 107, 792 |
∴ So the LCM of the given numbers is 7 x 107 x 792 = 593208
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/593208
Therefore, the GCF of Fractions 5315/749,1109/5544 is 1/593208
Least Common Multiple of 749,5544 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 749,5544 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(749,5544) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(749,5544) x common factors =7 x 1 = 7
LCM(749,5544) = ( 749 × 5544 ) / 7
LCM(749,5544) = 4152456 / 7
LCM(749,5544) = 593208
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5315/749, 1109/5544
1. What is the HCF of 5315,1109?
The HCF of 5315,1109 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 5315/749, 1109/5544?
Answer: GCF of Numerators as per given numbers 5315/749, 1109/5544 is
GCF of Numerators i.e. for 5315,1109 is 1
LCM of denominators i.e. for 749,5544 is 593208.
Thus, GCF of Fractions is 1/593208.Finally, GCF of Fractions for 5315/749, 1109/5544 is 1/593208.