GCF of 1178/548, 9564/2256
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1178/548, 9564/2256 i.e 2/309072 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1178/548, 9564/2256.
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 1178/548,9564/2256?
Given fractions are 1178/548,9564/2256
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 1178/548,9564/2256, numerators are 1178,9564
Denominators are 548,2256
The GCF of 1178,9564 is 2 .
LCM of 548,2256 is 309072.
The greatest common factor of 1178/548,9564/2256 = [GCF of 1178,9564]/[LCM of 548,2256]= 2/309072
Therefore, the GCF of 1178/548,9564/2256 is 2/309072.
To find the highest common factor of 1178,9564, we have to find the factors of both numbers and list the highest common factor.
The factors of 1178 are 1, 2, 19, 31, 38, 62, 589, 1178
The factors of 9564 are 1, 2, 3, 4, 6, 12, 797, 1594, 2391, 3188, 4782, 9564
The HCF of 1178,9564 is 2.
Lets's calculate GCF of 1178,9564
| 2 | 1178, 9564 |
| 589, 4782 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1178,9564 By Matching Biggest Common Factor Method
Now, list down the factors of 1178
:1,2,19,31,38,62,589,1178
Now, list down the factors of 9564
:1,2,3,4,6,12,797,1594,2391,3188,4782,9564
Greatest Common Factor
We found the factors 1178,9564 . The biggest common factor number is the GCF number.
So the greatest common factor 1178,9564 is 2.
Lets's calculate LCM of 548,2256
| 2 | 548, 2256 |
| 2 | 274, 1128 |
| 137, 564 |
∴ So the LCM of the given numbers is 2 x 2 x 137 x 564 = 309072
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/309072
Therefore, the GCF of Fractions 1178/548,9564/2256 is 2/309072
Least Common Multiple of 548,2256 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 548,2256 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(548,2256) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(548,2256) x common factors =4 x 1 = 4
LCM(548,2256) = ( 548 × 2256 ) / 4
LCM(548,2256) = 1236288 / 4
LCM(548,2256) = 309072
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FAQs on GCF of Fractions of 1178/548, 9564/2256
1. What is the HCF of 1178,9564?
The HCF of 1178,9564 is 2
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 1178/548, 9564/2256?
Answer: GCF of Numerators as per given numbers 1178/548, 9564/2256 is
GCF of Numerators i.e. for 1178,9564 is 2
LCM of denominators i.e. for 548,2256 is 309072.
Thus, GCF of Fractions is 2/309072.Finally, GCF of Fractions for 1178/548, 9564/2256 is 2/309072.