GCF of 247/252, 1178/9004
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 247/252, 1178/9004 i.e 19/567252 easily. The following is the detailed procedure to determine the greatest common factor of fractions 247/252, 1178/9004.
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 247/252,1178/9004?
Given fractions are 247/252,1178/9004
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 247/252,1178/9004, numerators are 247,1178
Denominators are 252,9004
The GCF of 247,1178 is 19 .
LCM of 252,9004 is 567252.
The greatest common factor of 247/252,1178/9004 = [GCF of 247,1178]/[LCM of 252,9004]= 19/567252
Therefore, the GCF of 247/252,1178/9004 is 19/567252.
To find the highest common factor of 247,1178, we have to find the factors of both numbers and list the highest common factor.
The factors of 247 are 1, 13, 19, 247
The factors of 1178 are 1, 2, 19, 31, 38, 62, 589, 1178
The HCF of 247,1178 is 19.
Lets's calculate GCF of 247,1178
| 19 | 247, 1178 |
| 13, 62 |
∴ So the GCF of the given numbers is 19 = 19
Greatest Common Factor of 247,1178 By Matching Biggest Common Factor Method
Now, list down the factors of 247
:1,13,19,247
Now, list down the factors of 1178
:1,2,19,31,38,62,589,1178
Greatest Common Factor
We found the factors 247,1178 . The biggest common factor number is the GCF number.
So the greatest common factor 247,1178 is 19.
Lets's calculate LCM of 252,9004
| 2 | 252, 9004 |
| 2 | 126, 4502 |
| 63, 2251 |
∴ So the LCM of the given numbers is 2 x 2 x 63 x 2251 = 567252
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/567252
Therefore, the GCF of Fractions 247/252,1178/9004 is 19/567252
Least Common Multiple of 252,9004 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 252,9004 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(252,9004) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(252,9004) x common factors =4 x 1 = 4
LCM(252,9004) = ( 252 × 9004 ) / 4
LCM(252,9004) = 2269008 / 4
LCM(252,9004) = 567252
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FAQs on GCF of Fractions of 247/252, 1178/9004
1. What is the HCF of 247,1178?
The HCF of 247,1178 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 247/252, 1178/9004?
Answer: GCF of Numerators as per given numbers 247/252, 1178/9004 is
GCF of Numerators i.e. for 247,1178 is 19
LCM of denominators i.e. for 252,9004 is 567252.
Thus, GCF of Fractions is 19/567252.Finally, GCF of Fractions for 247/252, 1178/9004 is 19/567252.