GCF of 5556/471, 8632/474
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5556/471, 8632/474 i.e 4/74418 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5556/471, 8632/474.
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 5556/471,8632/474?
Given fractions are 5556/471,8632/474
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 5556/471,8632/474, numerators are 5556,8632
Denominators are 471,474
The GCF of 5556,8632 is 4 .
LCM of 471,474 is 74418.
The greatest common factor of 5556/471,8632/474 = [GCF of 5556,8632]/[LCM of 471,474]= 4/74418
Therefore, the GCF of 5556/471,8632/474 is 4/74418.
To find the highest common factor of 5556,8632, we have to find the factors of both numbers and list the highest common factor.
The factors of 5556 are 1, 2, 3, 4, 6, 12, 463, 926, 1389, 1852, 2778, 5556
The factors of 8632 are 1, 2, 4, 8, 13, 26, 52, 83, 104, 166, 332, 664, 1079, 2158, 4316, 8632
The HCF of 5556,8632 is 4.
Lets's calculate GCF of 5556,8632
| 2 | 5556, 8632 |
| 2 | 2778, 4316 |
| 1389, 2158 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 5556,8632 By Matching Biggest Common Factor Method
Now, list down the factors of 5556
:1,2,3,4,6,12,463,926,1389,1852,2778,5556
Now, list down the factors of 8632
:1,2,4,8,13,26,52,83,104,166,332,664,1079,2158,4316,8632
Greatest Common Factor
We found the factors 5556,8632 . The biggest common factor number is the GCF number.
So the greatest common factor 5556,8632 is 4.
Lets's calculate LCM of 471,474
| 3 | 471, 474 |
| 157, 158 |
∴ So the LCM of the given numbers is 3 x 157 x 158 = 74418
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/74418
Therefore, the GCF of Fractions 5556/471,8632/474 is 4/74418
Least Common Multiple of 471,474 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 471,474 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(471,474) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(471,474) x common factors =3 x 1 = 3
LCM(471,474) = ( 471 × 474 ) / 3
LCM(471,474) = 223254 / 3
LCM(471,474) = 74418
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FAQs on GCF of Fractions of 5556/471, 8632/474
1. What is the HCF of 5556,8632?
The HCF of 5556,8632 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 5556/471, 8632/474?
Answer: GCF of Numerators as per given numbers 5556/471, 8632/474 is
GCF of Numerators i.e. for 5556,8632 is 4
LCM of denominators i.e. for 471,474 is 74418.
Thus, GCF of Fractions is 4/74418.Finally, GCF of Fractions for 5556/471, 8632/474 is 4/74418.