GCF of 1/64, 68/48, 64/678, 173/326
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1/64, 68/48, 64/678, 173/326 i.e 1/3536448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1/64, 68/48, 64/678, 173/326.
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 1/64,68/48,64/678,173/326?
Given fractions are 1/64,68/48,64/678,173/326
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 1/64,68/48,64/678,173/326, numerators are 1,68,64,173
Denominators are 64,48,678,326
The GCF of 1,68,64,173 is 1 .
LCM of 64,48,678,326 is 3536448.
The greatest common factor of 1/64,68/48,64/678,173/326 = [GCF of 1,68,64,173]/[LCM of 64,48,678,326]= 1/3536448
Therefore, the GCF of 1/64,68/48,64/678,173/326 is 1/3536448.
To find the highest common factor of 1,68,64,173, we have to find the factors of both numbers and list the highest common factor.
The factors of 1 are 1
The factors of 68 are 1, 2, 4, 17, 34, 68
The factors of 64 are 1, 2, 4, 8, 16, 32, 64
The factors of 173 are 1, 173
The HCF of 1,68,64,173 is 1.
Lets's calculate GCF of 1,68,64,173
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1,68,64,173 By Matching Biggest Common Factor Method
Now, list down the factors of 1
:1
Now, list down the factors of 68
:1,2,4,17,34,68
Now, list down the factors of 64
:1,2,4,8,16,32,64
Now, list down the factors of 173
:1,173
Greatest Common Factor
We found the factors 1,68,64,173 . The biggest common factor number is the GCF number.
So the greatest common factor 1,68,64,173 is 1.
Lets's calculate LCM of 64,48,678,326
| 2 | 64, 48, 678, 326 |
| 2 | 32, 24, 339, 163 |
| 2 | 16, 12, 339, 163 |
| 2 | 8, 6, 339, 163 |
| 3 | 4, 3, 339, 163 |
| 4, 1, 113, 163 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 4 x 1 x 113 x 163 = 3536448
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3536448
Therefore, the GCF of Fractions 1/64,68/48,64/678,173/326 is 1/3536448
Least Common Multiple of 64,48,678,326 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 64,48,678,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,48,678,326) = 2
common factors(in case of two or more numbers have common factors) = 96
GCF(64,48,678,326) x common factors =2 x 96 = 192
LCM(64,48,678,326) = ( 64 × 48 × 678 × 326 ) / 192
LCM(64,48,678,326) = 678998016 / 192
LCM(64,48,678,326) = 3536448
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FAQs on GCF of Fractions of 1/64, 68/48, 64/678, 173/326
1. What is the HCF of 1,68,64,173?
The HCF of 1,68,64,173 is 1
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 1/64, 68/48, 64/678, 173/326?
Answer: GCF of Numerators as per given numbers 1/64, 68/48, 64/678, 173/326 is
GCF of Numerators i.e. for 1,68,64,173 is 1
LCM of denominators i.e. for 64,48,678,326 is 3536448.
Thus, GCF of Fractions is 1/3536448.Finally, GCF of Fractions for 1/64, 68/48, 64/678, 173/326 is 1/3536448.