GCF of 1239/664, 4512/274
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1239/664, 4512/274 i.e 3/90968 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1239/664, 4512/274.
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 1239/664,4512/274?
Given fractions are 1239/664,4512/274
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 1239/664,4512/274, numerators are 1239,4512
Denominators are 664,274
The GCF of 1239,4512 is 3 .
LCM of 664,274 is 90968.
The greatest common factor of 1239/664,4512/274 = [GCF of 1239,4512]/[LCM of 664,274]= 3/90968
Therefore, the GCF of 1239/664,4512/274 is 3/90968.
To find the highest common factor of 1239,4512, we have to find the factors of both numbers and list the highest common factor.
The factors of 1239 are 1, 3, 7, 21, 59, 177, 413, 1239
The factors of 4512 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 47, 48, 94, 96, 141, 188, 282, 376, 564, 752, 1128, 1504, 2256, 4512
The HCF of 1239,4512 is 3.
Lets's calculate GCF of 1239,4512
| 3 | 1239, 4512 |
| 413, 1504 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1239,4512 By Matching Biggest Common Factor Method
Now, list down the factors of 1239
:1,3,7,21,59,177,413,1239
Now, list down the factors of 4512
:1,2,3,4,6,8,12,16,24,32,47,48,94,96,141,188,282,376,564,752,1128,1504,2256,4512
Greatest Common Factor
We found the factors 1239,4512 . The biggest common factor number is the GCF number.
So the greatest common factor 1239,4512 is 3.
Lets's calculate LCM of 664,274
| 2 | 664, 274 |
| 332, 137 |
∴ So the LCM of the given numbers is 2 x 332 x 137 = 90968
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/90968
Therefore, the GCF of Fractions 1239/664,4512/274 is 3/90968
Least Common Multiple of 664,274 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 664,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(664,274) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(664,274) x common factors =2 x 1 = 2
LCM(664,274) = ( 664 × 274 ) / 2
LCM(664,274) = 181936 / 2
LCM(664,274) = 90968
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FAQs on GCF of Fractions of 1239/664, 4512/274
1. What is the HCF of 1239,4512?
The HCF of 1239,4512 is 3
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 1239/664, 4512/274?
Answer: GCF of Numerators as per given numbers 1239/664, 4512/274 is
GCF of Numerators i.e. for 1239,4512 is 3
LCM of denominators i.e. for 664,274 is 90968.
Thus, GCF of Fractions is 3/90968.Finally, GCF of Fractions for 1239/664, 4512/274 is 3/90968.