GCF of 1196/481, 7751/5512
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1196/481, 7751/5512 i.e 23/203944 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1196/481, 7751/5512.
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 1196/481,7751/5512?
Given fractions are 1196/481,7751/5512
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 1196/481,7751/5512, numerators are 1196,7751
Denominators are 481,5512
The GCF of 1196,7751 is 23 .
LCM of 481,5512 is 203944.
The greatest common factor of 1196/481,7751/5512 = [GCF of 1196,7751]/[LCM of 481,5512]= 23/203944
Therefore, the GCF of 1196/481,7751/5512 is 23/203944.
To find the highest common factor of 1196,7751, we have to find the factors of both numbers and list the highest common factor.
The factors of 1196 are 1, 2, 4, 13, 23, 26, 46, 52, 92, 299, 598, 1196
The factors of 7751 are 1, 23, 337, 7751
The HCF of 1196,7751 is 23.
Lets's calculate GCF of 1196,7751
| 23 | 1196, 7751 |
| 52, 337 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 1196,7751 By Matching Biggest Common Factor Method
Now, list down the factors of 1196
:1,2,4,13,23,26,46,52,92,299,598,1196
Now, list down the factors of 7751
:1,23,337,7751
Greatest Common Factor
We found the factors 1196,7751 . The biggest common factor number is the GCF number.
So the greatest common factor 1196,7751 is 23.
Lets's calculate LCM of 481,5512
| 13 | 481, 5512 |
| 37, 424 |
∴ So the LCM of the given numbers is 13 x 37 x 424 = 203944
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/203944
Therefore, the GCF of Fractions 1196/481,7751/5512 is 23/203944
Least Common Multiple of 481,5512 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 481,5512 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(481,5512) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(481,5512) x common factors =13 x 1 = 13
LCM(481,5512) = ( 481 × 5512 ) / 13
LCM(481,5512) = 2651272 / 13
LCM(481,5512) = 203944
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FAQs on GCF of Fractions of 1196/481, 7751/5512
1. What is the HCF of 1196,7751?
The HCF of 1196,7751 is 23
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 1196/481, 7751/5512?
Answer: GCF of Numerators as per given numbers 1196/481, 7751/5512 is
GCF of Numerators i.e. for 1196,7751 is 23
LCM of denominators i.e. for 481,5512 is 203944.
Thus, GCF of Fractions is 23/203944.Finally, GCF of Fractions for 1196/481, 7751/5512 is 23/203944.