GCF of 5352/675, 1816/8369
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5352/675, 1816/8369 i.e 8/5649075 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5352/675, 1816/8369.
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 5352/675,1816/8369?
Given fractions are 5352/675,1816/8369
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 5352/675,1816/8369, numerators are 5352,1816
Denominators are 675,8369
The GCF of 5352,1816 is 8 .
LCM of 675,8369 is 5649075.
The greatest common factor of 5352/675,1816/8369 = [GCF of 5352,1816]/[LCM of 675,8369]= 8/5649075
Therefore, the GCF of 5352/675,1816/8369 is 8/5649075.
To find the highest common factor of 5352,1816, we have to find the factors of both numbers and list the highest common factor.
The factors of 5352 are 1, 2, 3, 4, 6, 8, 12, 24, 223, 446, 669, 892, 1338, 1784, 2676, 5352
The factors of 1816 are 1, 2, 4, 8, 227, 454, 908, 1816
The HCF of 5352,1816 is 8.
Lets's calculate GCF of 5352,1816
| 2 | 5352, 1816 |
| 2 | 2676, 908 |
| 2 | 1338, 454 |
| 669, 227 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 5352,1816 By Matching Biggest Common Factor Method
Now, list down the factors of 5352
:1,2,3,4,6,8,12,24,223,446,669,892,1338,1784,2676,5352
Now, list down the factors of 1816
:1,2,4,8,227,454,908,1816
Greatest Common Factor
We found the factors 5352,1816 . The biggest common factor number is the GCF number.
So the greatest common factor 5352,1816 is 8.
Lets's calculate LCM of 675,8369
Given numbers has no common factors except 1. So, there LCM is their product i.e 5649075
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/5649075
Therefore, the GCF of Fractions 5352/675,1816/8369 is 8/5649075
Least Common Multiple of 675,8369 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 675,8369 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(675,8369) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(675,8369) x common factors =1 x 1 = 1
LCM(675,8369) = ( 675 × 8369 ) / 1
LCM(675,8369) = 5649075 / 1
LCM(675,8369) = 5649075
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5352/675, 1816/8369
1. What is the HCF of 5352,1816?
The HCF of 5352,1816 is 8
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 5352/675, 1816/8369?
Answer: GCF of Numerators as per given numbers 5352/675, 1816/8369 is
GCF of Numerators i.e. for 5352,1816 is 8
LCM of denominators i.e. for 675,8369 is 5649075.
Thus, GCF of Fractions is 8/5649075.Finally, GCF of Fractions for 5352/675, 1816/8369 is 8/5649075.