GCF of 5304/147, 6236/180
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5304/147, 6236/180 i.e 4/8820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5304/147, 6236/180.
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 5304/147,6236/180?
Given fractions are 5304/147,6236/180
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 5304/147,6236/180, numerators are 5304,6236
Denominators are 147,180
The GCF of 5304,6236 is 4 .
LCM of 147,180 is 8820.
The greatest common factor of 5304/147,6236/180 = [GCF of 5304,6236]/[LCM of 147,180]= 4/8820
Therefore, the GCF of 5304/147,6236/180 is 4/8820.
To find the highest common factor of 5304,6236, we have to find the factors of both numbers and list the highest common factor.
The factors of 5304 are 1, 2, 3, 4, 6, 8, 12, 13, 17, 24, 26, 34, 39, 51, 52, 68, 78, 102, 104, 136, 156, 204, 221, 312, 408, 442, 663, 884, 1326, 1768, 2652, 5304
The factors of 6236 are 1, 2, 4, 1559, 3118, 6236
The HCF of 5304,6236 is 4.
Lets's calculate GCF of 5304,6236
| 2 | 5304, 6236 |
| 2 | 2652, 3118 |
| 1326, 1559 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 5304,6236 By Matching Biggest Common Factor Method
Now, list down the factors of 5304
:1,2,3,4,6,8,12,13,17,24,26,34,39,51,52,68,78,102,104,136,156,204,221,312,408,442,663,884,1326,1768,2652,5304
Now, list down the factors of 6236
:1,2,4,1559,3118,6236
Greatest Common Factor
We found the factors 5304,6236 . The biggest common factor number is the GCF number.
So the greatest common factor 5304,6236 is 4.
Lets's calculate LCM of 147,180
| 3 | 147, 180 |
| 49, 60 |
∴ So the LCM of the given numbers is 3 x 49 x 60 = 8820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/8820
Therefore, the GCF of Fractions 5304/147,6236/180 is 4/8820
Least Common Multiple of 147,180 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 147,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(147,180) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(147,180) x common factors =3 x 1 = 3
LCM(147,180) = ( 147 × 180 ) / 3
LCM(147,180) = 26460 / 3
LCM(147,180) = 8820
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FAQs on GCF of Fractions of 5304/147, 6236/180
1. What is the HCF of 5304,6236?
The HCF of 5304,6236 is 4
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 5304/147, 6236/180?
Answer: GCF of Numerators as per given numbers 5304/147, 6236/180 is
GCF of Numerators i.e. for 5304,6236 is 4
LCM of denominators i.e. for 147,180 is 8820.
Thus, GCF of Fractions is 4/8820.Finally, GCF of Fractions for 5304/147, 6236/180 is 4/8820.