GCF of 177/254, 3187/678
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 177/254, 3187/678 i.e 1/86106 easily. The following is the detailed procedure to determine the greatest common factor of fractions 177/254, 3187/678.
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 177/254,3187/678?
Given fractions are 177/254,3187/678
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 177/254,3187/678, numerators are 177,3187
Denominators are 254,678
The GCF of 177,3187 is 1 .
LCM of 254,678 is 86106.
The greatest common factor of 177/254,3187/678 = [GCF of 177,3187]/[LCM of 254,678]= 1/86106
Therefore, the GCF of 177/254,3187/678 is 1/86106.
To find the highest common factor of 177,3187, we have to find the factors of both numbers and list the highest common factor.
The factors of 177 are 1, 3, 59, 177
The factors of 3187 are 1, 3187
The HCF of 177,3187 is 1.
Lets's calculate GCF of 177,3187
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 177,3187 By Matching Biggest Common Factor Method
Now, list down the factors of 177
:1,3,59,177
Now, list down the factors of 3187
:1,3187
Greatest Common Factor
We found the factors 177,3187 . The biggest common factor number is the GCF number.
So the greatest common factor 177,3187 is 1.
Lets's calculate LCM of 254,678
| 2 | 254, 678 |
| 127, 339 |
∴ So the LCM of the given numbers is 2 x 127 x 339 = 86106
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/86106
Therefore, the GCF of Fractions 177/254,3187/678 is 1/86106
Least Common Multiple of 254,678 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 254,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(254,678) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(254,678) x common factors =2 x 1 = 2
LCM(254,678) = ( 254 × 678 ) / 2
LCM(254,678) = 172212 / 2
LCM(254,678) = 86106
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FAQs on GCF of Fractions of 177/254, 3187/678
1. What is the HCF of 177,3187?
The HCF of 177,3187 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 177/254, 3187/678?
Answer: GCF of Numerators as per given numbers 177/254, 3187/678 is
GCF of Numerators i.e. for 177,3187 is 1
LCM of denominators i.e. for 254,678 is 86106.
Thus, GCF of Fractions is 1/86106.Finally, GCF of Fractions for 177/254, 3187/678 is 1/86106.