GCF of 187/664, 1696/418
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 187/664, 1696/418 i.e 1/138776 easily. The following is the detailed procedure to determine the greatest common factor of fractions 187/664, 1696/418.
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 187/664,1696/418?
Given fractions are 187/664,1696/418
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 187/664,1696/418, numerators are 187,1696
Denominators are 664,418
The GCF of 187,1696 is 1 .
LCM of 664,418 is 138776.
The greatest common factor of 187/664,1696/418 = [GCF of 187,1696]/[LCM of 664,418]= 1/138776
Therefore, the GCF of 187/664,1696/418 is 1/138776.
To find the highest common factor of 187,1696, we have to find the factors of both numbers and list the highest common factor.
The factors of 187 are 1, 11, 17, 187
The factors of 1696 are 1, 2, 4, 8, 16, 32, 53, 106, 212, 424, 848, 1696
The HCF of 187,1696 is 1.
Lets's calculate GCF of 187,1696
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 187,1696 By Matching Biggest Common Factor Method
Now, list down the factors of 187
:1,11,17,187
Now, list down the factors of 1696
:1,2,4,8,16,32,53,106,212,424,848,1696
Greatest Common Factor
We found the factors 187,1696 . The biggest common factor number is the GCF number.
So the greatest common factor 187,1696 is 1.
Lets's calculate LCM of 664,418
| 2 | 664, 418 |
| 332, 209 |
∴ So the LCM of the given numbers is 2 x 332 x 209 = 138776
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/138776
Therefore, the GCF of Fractions 187/664,1696/418 is 1/138776
Least Common Multiple of 664,418 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 664,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(664,418) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(664,418) x common factors =2 x 1 = 2
LCM(664,418) = ( 664 × 418 ) / 2
LCM(664,418) = 277552 / 2
LCM(664,418) = 138776
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FAQs on GCF of Fractions of 187/664, 1696/418
1. What is the HCF of 187,1696?
The HCF of 187,1696 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 187/664, 1696/418?
Answer: GCF of Numerators as per given numbers 187/664, 1696/418 is
GCF of Numerators i.e. for 187,1696 is 1
LCM of denominators i.e. for 664,418 is 138776.
Thus, GCF of Fractions is 1/138776.Finally, GCF of Fractions for 187/664, 1696/418 is 1/138776.