GCF of 304/78, 247/250
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 304/78, 247/250 i.e 19/9750 easily. The following is the detailed procedure to determine the greatest common factor of fractions 304/78, 247/250.
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 304/78,247/250?
Given fractions are 304/78,247/250
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 304/78,247/250, numerators are 304,247
Denominators are 78,250
The GCF of 304,247 is 19 .
LCM of 78,250 is 9750.
The greatest common factor of 304/78,247/250 = [GCF of 304,247]/[LCM of 78,250]= 19/9750
Therefore, the GCF of 304/78,247/250 is 19/9750.
To find the highest common factor of 304,247, we have to find the factors of both numbers and list the highest common factor.
The factors of 304 are 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
The factors of 247 are 1, 13, 19, 247
The HCF of 304,247 is 19.
Lets's calculate GCF of 304,247
| 19 | 304, 247 |
| 16, 13 |
∴ So the GCF of the given numbers is 19 = 19
Greatest Common Factor of 304,247 By Matching Biggest Common Factor Method
Now, list down the factors of 304
:1,2,4,8,16,19,38,76,152,304
Now, list down the factors of 247
:1,13,19,247
Greatest Common Factor
We found the factors 304,247 . The biggest common factor number is the GCF number.
So the greatest common factor 304,247 is 19.
Lets's calculate LCM of 78,250
| 2 | 78, 250 |
| 39, 125 |
∴ So the LCM of the given numbers is 2 x 39 x 125 = 9750
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/9750
Therefore, the GCF of Fractions 304/78,247/250 is 19/9750
Least Common Multiple of 78,250 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 78,250 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,250) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(78,250) x common factors =2 x 1 = 2
LCM(78,250) = ( 78 × 250 ) / 2
LCM(78,250) = 19500 / 2
LCM(78,250) = 9750
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FAQs on GCF of Fractions of 304/78, 247/250
1. What is the HCF of 304,247?
The HCF of 304,247 is 19
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 304/78, 247/250?
Answer: GCF of Numerators as per given numbers 304/78, 247/250 is
GCF of Numerators i.e. for 304,247 is 19
LCM of denominators i.e. for 78,250 is 9750.
Thus, GCF of Fractions is 19/9750.Finally, GCF of Fractions for 304/78, 247/250 is 19/9750.