GCF of 5181/945, 2208/948
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5181/945, 2208/948 i.e 3/298620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5181/945, 2208/948.
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 5181/945,2208/948?
Given fractions are 5181/945,2208/948
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 5181/945,2208/948, numerators are 5181,2208
Denominators are 945,948
The GCF of 5181,2208 is 3 .
LCM of 945,948 is 298620.
The greatest common factor of 5181/945,2208/948 = [GCF of 5181,2208]/[LCM of 945,948]= 3/298620
Therefore, the GCF of 5181/945,2208/948 is 3/298620.
To find the highest common factor of 5181,2208, we have to find the factors of both numbers and list the highest common factor.
The factors of 5181 are 1, 3, 11, 33, 157, 471, 1727, 5181
The factors of 2208 are 1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 46, 48, 69, 92, 96, 138, 184, 276, 368, 552, 736, 1104, 2208
The HCF of 5181,2208 is 3.
Lets's calculate GCF of 5181,2208
| 3 | 5181, 2208 |
| 1727, 736 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5181,2208 By Matching Biggest Common Factor Method
Now, list down the factors of 5181
:1,3,11,33,157,471,1727,5181
Now, list down the factors of 2208
:1,2,3,4,6,8,12,16,23,24,32,46,48,69,92,96,138,184,276,368,552,736,1104,2208
Greatest Common Factor
We found the factors 5181,2208 . The biggest common factor number is the GCF number.
So the greatest common factor 5181,2208 is 3.
Lets's calculate LCM of 945,948
| 3 | 945, 948 |
| 315, 316 |
∴ So the LCM of the given numbers is 3 x 315 x 316 = 298620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/298620
Therefore, the GCF of Fractions 5181/945,2208/948 is 3/298620
Least Common Multiple of 945,948 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 945,948 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(945,948) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(945,948) x common factors =3 x 1 = 3
LCM(945,948) = ( 945 × 948 ) / 3
LCM(945,948) = 895860 / 3
LCM(945,948) = 298620
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FAQs on GCF of Fractions of 5181/945, 2208/948
1. What is the HCF of 5181,2208?
The HCF of 5181,2208 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 5181/945, 2208/948?
Answer: GCF of Numerators as per given numbers 5181/945, 2208/948 is
GCF of Numerators i.e. for 5181,2208 is 3
LCM of denominators i.e. for 945,948 is 298620.
Thus, GCF of Fractions is 3/298620.Finally, GCF of Fractions for 5181/945, 2208/948 is 3/298620.