GCF of 3518/336, 7168/153
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3518/336, 7168/153 i.e 2/17136 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3518/336, 7168/153.
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 3518/336,7168/153?
Given fractions are 3518/336,7168/153
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 3518/336,7168/153, numerators are 3518,7168
Denominators are 336,153
The GCF of 3518,7168 is 2 .
LCM of 336,153 is 17136.
The greatest common factor of 3518/336,7168/153 = [GCF of 3518,7168]/[LCM of 336,153]= 2/17136
Therefore, the GCF of 3518/336,7168/153 is 2/17136.
To find the highest common factor of 3518,7168, we have to find the factors of both numbers and list the highest common factor.
The factors of 3518 are 1, 2, 1759, 3518
The factors of 7168 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448, 512, 896, 1024, 1792, 3584, 7168
The HCF of 3518,7168 is 2.
Lets's calculate GCF of 3518,7168
| 2 | 3518, 7168 |
| 1759, 3584 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3518,7168 By Matching Biggest Common Factor Method
Now, list down the factors of 3518
:1,2,1759,3518
Now, list down the factors of 7168
:1,2,4,7,8,14,16,28,32,56,64,112,128,224,256,448,512,896,1024,1792,3584,7168
Greatest Common Factor
We found the factors 3518,7168 . The biggest common factor number is the GCF number.
So the greatest common factor 3518,7168 is 2.
Lets's calculate LCM of 336,153
| 3 | 336, 153 |
| 112, 51 |
∴ So the LCM of the given numbers is 3 x 112 x 51 = 17136
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/17136
Therefore, the GCF of Fractions 3518/336,7168/153 is 2/17136
Least Common Multiple of 336,153 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 336,153 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(336,153) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(336,153) x common factors =3 x 1 = 3
LCM(336,153) = ( 336 × 153 ) / 3
LCM(336,153) = 51408 / 3
LCM(336,153) = 17136
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FAQs on GCF of Fractions of 3518/336, 7168/153
1. What is the HCF of 3518,7168?
The HCF of 3518,7168 is 2
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 3518/336, 7168/153?
Answer: GCF of Numerators as per given numbers 3518/336, 7168/153 is
GCF of Numerators i.e. for 3518,7168 is 2
LCM of denominators i.e. for 336,153 is 17136.
Thus, GCF of Fractions is 2/17136.Finally, GCF of Fractions for 3518/336, 7168/153 is 2/17136.