Use our free GCF of Fractions Calculator tool to compute the GCF of 807/298, 476/597 i.e 1/177906 easily. The following is the detailed procedure to determine the greatest common factor of fractions 807/298, 476/597.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 807/298,476/597
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 807/298,476/597, numerators are 807,476
Denominators are 298,597
The GCF of 807,476 is 1 .
LCM of 298,597 is 177906.
The greatest common factor of 807/298,476/597 = [GCF of 807,476]/[LCM of 298,597]= 1/177906
Therefore, the GCF of 807/298,476/597 is 1/177906.
To find the highest common factor of 807,476, we have to find the factors of both numbers and list the highest common factor.
The factors of 807 are 1, 3, 269, 807
The factors of 476 are 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
The HCF of 807,476 is 1.
Lets's calculate GCF of 807,476
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 807
:1,3,269,807
Now, list down the factors of 476
:1,2,4,7,14,17,28,34,68,119,238,476
Greatest Common Factor
We found the factors 807,476 . The biggest common factor number is the GCF number.
So the greatest common factor 807,476 is 1.
Lets's calculate LCM of 298,597
Given numbers has no common factors except 1. So, there LCM is their product i.e 177906
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/177906
Therefore, the GCF of Fractions 807/298,476/597 is 1/177906
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 298,597 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(298,597) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(298,597) x common factors =1 x 1 = 1
LCM(298,597) = ( 298 × 597 ) / 1
LCM(298,597) = 177906 / 1
LCM(298,597) = 177906
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 807,476?
The HCF of 807,476 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 807/298, 476/597?
Answer: GCF of Numerators as per given numbers 807/298, 476/597 is
GCF of Numerators i.e. for 807,476 is 1
LCM of denominators i.e. for 298,597 is 177906.
Thus, GCF of Fractions is 1/177906.Finally, GCF of Fractions for 807/298, 476/597 is 1/177906.