GCF of 7149/936, 1194/5488
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7149/936, 1194/5488 i.e 3/642096 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7149/936, 1194/5488.
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 7149/936,1194/5488?
Given fractions are 7149/936,1194/5488
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 7149/936,1194/5488, numerators are 7149,1194
Denominators are 936,5488
The GCF of 7149,1194 is 3 .
LCM of 936,5488 is 642096.
The greatest common factor of 7149/936,1194/5488 = [GCF of 7149,1194]/[LCM of 936,5488]= 3/642096
Therefore, the GCF of 7149/936,1194/5488 is 3/642096.
To find the highest common factor of 7149,1194, we have to find the factors of both numbers and list the highest common factor.
The factors of 7149 are 1, 3, 2383, 7149
The factors of 1194 are 1, 2, 3, 6, 199, 398, 597, 1194
The HCF of 7149,1194 is 3.
Lets's calculate GCF of 7149,1194
| 3 | 7149, 1194 |
| 2383, 398 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7149,1194 By Matching Biggest Common Factor Method
Now, list down the factors of 7149
:1,3,2383,7149
Now, list down the factors of 1194
:1,2,3,6,199,398,597,1194
Greatest Common Factor
We found the factors 7149,1194 . The biggest common factor number is the GCF number.
So the greatest common factor 7149,1194 is 3.
Lets's calculate LCM of 936,5488
| 2 | 936, 5488 |
| 2 | 468, 2744 |
| 2 | 234, 1372 |
| 117, 686 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 117 x 686 = 642096
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/642096
Therefore, the GCF of Fractions 7149/936,1194/5488 is 3/642096
Least Common Multiple of 936,5488 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 936,5488 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(936,5488) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(936,5488) x common factors =8 x 1 = 8
LCM(936,5488) = ( 936 × 5488 ) / 8
LCM(936,5488) = 5136768 / 8
LCM(936,5488) = 642096
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FAQs on GCF of Fractions of 7149/936, 1194/5488
1. What is the HCF of 7149,1194?
The HCF of 7149,1194 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 7149/936, 1194/5488?
Answer: GCF of Numerators as per given numbers 7149/936, 1194/5488 is
GCF of Numerators i.e. for 7149,1194 is 3
LCM of denominators i.e. for 936,5488 is 642096.
Thus, GCF of Fractions is 3/642096.Finally, GCF of Fractions for 7149/936, 1194/5488 is 3/642096.