GCF of 4551/174, 7263/1988
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4551/174, 7263/1988 i.e 3/172956 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4551/174, 7263/1988.
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 4551/174,7263/1988?
Given fractions are 4551/174,7263/1988
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 4551/174,7263/1988, numerators are 4551,7263
Denominators are 174,1988
The GCF of 4551,7263 is 3 .
LCM of 174,1988 is 172956.
The greatest common factor of 4551/174,7263/1988 = [GCF of 4551,7263]/[LCM of 174,1988]= 3/172956
Therefore, the GCF of 4551/174,7263/1988 is 3/172956.
To find the highest common factor of 4551,7263, we have to find the factors of both numbers and list the highest common factor.
The factors of 4551 are 1, 3, 37, 41, 111, 123, 1517, 4551
The factors of 7263 are 1, 3, 9, 27, 269, 807, 2421, 7263
The HCF of 4551,7263 is 3.
Lets's calculate GCF of 4551,7263
| 3 | 4551, 7263 |
| 1517, 2421 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4551,7263 By Matching Biggest Common Factor Method
Now, list down the factors of 4551
:1,3,37,41,111,123,1517,4551
Now, list down the factors of 7263
:1,3,9,27,269,807,2421,7263
Greatest Common Factor
We found the factors 4551,7263 . The biggest common factor number is the GCF number.
So the greatest common factor 4551,7263 is 3.
Lets's calculate LCM of 174,1988
| 2 | 174, 1988 |
| 87, 994 |
∴ So the LCM of the given numbers is 2 x 87 x 994 = 172956
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/172956
Therefore, the GCF of Fractions 4551/174,7263/1988 is 3/172956
Least Common Multiple of 174,1988 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 174,1988 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(174,1988) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(174,1988) x common factors =2 x 1 = 2
LCM(174,1988) = ( 174 × 1988 ) / 2
LCM(174,1988) = 345912 / 2
LCM(174,1988) = 172956
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FAQs on GCF of Fractions of 4551/174, 7263/1988
1. What is the HCF of 4551,7263?
The HCF of 4551,7263 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 4551/174, 7263/1988?
Answer: GCF of Numerators as per given numbers 4551/174, 7263/1988 is
GCF of Numerators i.e. for 4551,7263 is 3
LCM of denominators i.e. for 174,1988 is 172956.
Thus, GCF of Fractions is 3/172956.Finally, GCF of Fractions for 4551/174, 7263/1988 is 3/172956.