GCF of 3136/418, 2072/553
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3136/418, 2072/553 i.e 56/231154 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3136/418, 2072/553.
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 3136/418,2072/553?
Given fractions are 3136/418,2072/553
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 3136/418,2072/553, numerators are 3136,2072
Denominators are 418,553
The GCF of 3136,2072 is 56 .
LCM of 418,553 is 231154.
The greatest common factor of 3136/418,2072/553 = [GCF of 3136,2072]/[LCM of 418,553]= 56/231154
Therefore, the GCF of 3136/418,2072/553 is 56/231154.
To find the highest common factor of 3136,2072, we have to find the factors of both numbers and list the highest common factor.
The factors of 3136 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 64, 98, 112, 196, 224, 392, 448, 784, 1568, 3136
The factors of 2072 are 1, 2, 4, 7, 8, 14, 28, 37, 56, 74, 148, 259, 296, 518, 1036, 2072
The HCF of 3136,2072 is 56.
Lets's calculate GCF of 3136,2072
| 2 | 3136, 2072 |
| 2 | 1568, 1036 |
| 2 | 784, 518 |
| 7 | 392, 259 |
| 56, 37 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 7 = 56
Greatest Common Factor of 3136,2072 By Matching Biggest Common Factor Method
Now, list down the factors of 3136
:1,2,4,7,8,14,16,28,32,49,56,64,98,112,196,224,392,448,784,1568,3136
Now, list down the factors of 2072
:1,2,4,7,8,14,28,37,56,74,148,259,296,518,1036,2072
Greatest Common Factor
We found the factors 3136,2072 . The biggest common factor number is the GCF number.
So the greatest common factor 3136,2072 is 56.
Lets's calculate LCM of 418,553
Given numbers has no common factors except 1. So, there LCM is their product i.e 231154
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 56/231154
Therefore, the GCF of Fractions 3136/418,2072/553 is 56/231154
Least Common Multiple of 418,553 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 418,553 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(418,553) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(418,553) x common factors =1 x 1 = 1
LCM(418,553) = ( 418 × 553 ) / 1
LCM(418,553) = 231154 / 1
LCM(418,553) = 231154
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FAQs on GCF of Fractions of 3136/418, 2072/553
1. What is the HCF of 3136,2072?
The HCF of 3136,2072 is 56
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 3136/418, 2072/553?
Answer: GCF of Numerators as per given numbers 3136/418, 2072/553 is
GCF of Numerators i.e. for 3136,2072 is 56
LCM of denominators i.e. for 418,553 is 231154.
Thus, GCF of Fractions is 56/231154.Finally, GCF of Fractions for 3136/418, 2072/553 is 56/231154.