Use our free GCF of Fractions Calculator tool to compute the GCF of 661/98, 444/769 i.e 1/75362 easily. The following is the detailed procedure to determine the greatest common factor of fractions 661/98, 444/769.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 661/98,444/769
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 661/98,444/769, numerators are 661,444
Denominators are 98,769
The GCF of 661,444 is 1 .
LCM of 98,769 is 75362.
The greatest common factor of 661/98,444/769 = [GCF of 661,444]/[LCM of 98,769]= 1/75362
Therefore, the GCF of 661/98,444/769 is 1/75362.
To find the highest common factor of 661,444, we have to find the factors of both numbers and list the highest common factor.
The factors of 661 are 1, 661
The factors of 444 are 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
The HCF of 661,444 is 1.
Lets's calculate GCF of 661,444
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 661
:1,661
Now, list down the factors of 444
:1,2,3,4,6,12,37,74,111,148,222,444
Greatest Common Factor
We found the factors 661,444 . The biggest common factor number is the GCF number.
So the greatest common factor 661,444 is 1.
Lets's calculate LCM of 98,769
Given numbers has no common factors except 1. So, there LCM is their product i.e 75362
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/75362
Therefore, the GCF of Fractions 661/98,444/769 is 1/75362
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 98,769 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,769) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(98,769) x common factors =1 x 1 = 1
LCM(98,769) = ( 98 × 769 ) / 1
LCM(98,769) = 75362 / 1
LCM(98,769) = 75362
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 661,444?
The HCF of 661,444 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 661/98, 444/769?
Answer: GCF of Numerators as per given numbers 661/98, 444/769 is
GCF of Numerators i.e. for 661,444 is 1
LCM of denominators i.e. for 98,769 is 75362.
Thus, GCF of Fractions is 1/75362.Finally, GCF of Fractions for 661/98, 444/769 is 1/75362.