Use our free GCF of Fractions Calculator tool to compute the GCF of 237/953, 248/753 i.e 1/717609 easily. The following is the detailed procedure to determine the greatest common factor of fractions 237/953, 248/753.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 237/953,248/753
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 237/953,248/753, numerators are 237,248
Denominators are 953,753
The GCF of 237,248 is 1 .
LCM of 953,753 is 717609.
The greatest common factor of 237/953,248/753 = [GCF of 237,248]/[LCM of 953,753]= 1/717609
Therefore, the GCF of 237/953,248/753 is 1/717609.
To find the highest common factor of 237,248, we have to find the factors of both numbers and list the highest common factor.
The factors of 237 are 1, 3, 79, 237
The factors of 248 are 1, 2, 4, 8, 31, 62, 124, 248
The HCF of 237,248 is 1.
Lets's calculate GCF of 237,248
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 237
:1,3,79,237
Now, list down the factors of 248
:1,2,4,8,31,62,124,248
Greatest Common Factor
We found the factors 237,248 . The biggest common factor number is the GCF number.
So the greatest common factor 237,248 is 1.
Lets's calculate LCM of 953,753
Given numbers has no common factors except 1. So, there LCM is their product i.e 717609
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/717609
Therefore, the GCF of Fractions 237/953,248/753 is 1/717609
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 953,753 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(953,753) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(953,753) x common factors =1 x 1 = 1
LCM(953,753) = ( 953 × 753 ) / 1
LCM(953,753) = 717609 / 1
LCM(953,753) = 717609
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 237,248?
The HCF of 237,248 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 237/953, 248/753?
Answer: GCF of Numerators as per given numbers 237/953, 248/753 is
GCF of Numerators i.e. for 237,248 is 1
LCM of denominators i.e. for 953,753 is 717609.
Thus, GCF of Fractions is 1/717609.Finally, GCF of Fractions for 237/953, 248/753 is 1/717609.