GCF of 4416/915, 3136/1722
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4416/915, 3136/1722 i.e 64/525210 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4416/915, 3136/1722.
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 4416/915,3136/1722?
Given fractions are 4416/915,3136/1722
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 4416/915,3136/1722, numerators are 4416,3136
Denominators are 915,1722
The GCF of 4416,3136 is 64 .
LCM of 915,1722 is 525210.
The greatest common factor of 4416/915,3136/1722 = [GCF of 4416,3136]/[LCM of 915,1722]= 64/525210
Therefore, the GCF of 4416/915,3136/1722 is 64/525210.
To find the highest common factor of 4416,3136, we have to find the factors of both numbers and list the highest common factor.
The factors of 4416 are 1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 46, 48, 64, 69, 92, 96, 138, 184, 192, 276, 368, 552, 736, 1104, 1472, 2208, 4416
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 HCF of 4416,3136 is 64.
Lets's calculate GCF of 4416,3136
| 2 | 4416, 3136 |
| 2 | 2208, 1568 |
| 2 | 1104, 784 |
| 2 | 552, 392 |
| 2 | 276, 196 |
| 2 | 138, 98 |
| 69, 49 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 = 64
Greatest Common Factor of 4416,3136 By Matching Biggest Common Factor Method
Now, list down the factors of 4416
:1,2,3,4,6,8,12,16,23,24,32,46,48,64,69,92,96,138,184,192,276,368,552,736,1104,1472,2208,4416
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
Greatest Common Factor
We found the factors 4416,3136 . The biggest common factor number is the GCF number.
So the greatest common factor 4416,3136 is 64.
Lets's calculate LCM of 915,1722
| 3 | 915, 1722 |
| 305, 574 |
∴ So the LCM of the given numbers is 3 x 305 x 574 = 525210
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 64/525210
Therefore, the GCF of Fractions 4416/915,3136/1722 is 64/525210
Least Common Multiple of 915,1722 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 915,1722 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(915,1722) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(915,1722) x common factors =3 x 1 = 3
LCM(915,1722) = ( 915 × 1722 ) / 3
LCM(915,1722) = 1575630 / 3
LCM(915,1722) = 525210
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 4416/915, 3136/1722
1. What is the HCF of 4416,3136?
The HCF of 4416,3136 is 64
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 4416/915, 3136/1722?
Answer: GCF of Numerators as per given numbers 4416/915, 3136/1722 is
GCF of Numerators i.e. for 4416,3136 is 64
LCM of denominators i.e. for 915,1722 is 525210.
Thus, GCF of Fractions is 64/525210.Finally, GCF of Fractions for 4416/915, 3136/1722 is 64/525210.