Use our free GCF of Fractions Calculator tool to compute the GCF of 853/362, 546/540 i.e 1/97740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 853/362, 546/540.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 853/362,546/540
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 853/362,546/540, numerators are 853,546
Denominators are 362,540
The GCF of 853,546 is 1 .
LCM of 362,540 is 97740.
The greatest common factor of 853/362,546/540 = [GCF of 853,546]/[LCM of 362,540]= 1/97740
Therefore, the GCF of 853/362,546/540 is 1/97740.
To find the highest common factor of 853,546, we have to find the factors of both numbers and list the highest common factor.
The factors of 853 are 1, 853
The factors of 546 are 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
The HCF of 853,546 is 1.
Lets's calculate GCF of 853,546
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 853
:1,853
Now, list down the factors of 546
:1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546
Greatest Common Factor
We found the factors 853,546 . The biggest common factor number is the GCF number.
So the greatest common factor 853,546 is 1.
Lets's calculate LCM of 362,540
2 | 362, 540 |
181, 270 |
∴ So the LCM of the given numbers is 2 x 181 x 270 = 97740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/97740
Therefore, the GCF of Fractions 853/362,546/540 is 1/97740
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 362,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(362,540) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(362,540) x common factors =2 x 1 = 2
LCM(362,540) = ( 362 × 540 ) / 2
LCM(362,540) = 195480 / 2
LCM(362,540) = 97740
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 853,546?
The HCF of 853,546 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 853/362, 546/540?
Answer: GCF of Numerators as per given numbers 853/362, 546/540 is
GCF of Numerators i.e. for 853,546 is 1
LCM of denominators i.e. for 362,540 is 97740.
Thus, GCF of Fractions is 1/97740.Finally, GCF of Fractions for 853/362, 546/540 is 1/97740.