GCF of 87/13, 347/42, 119/728
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 87/13, 347/42, 119/728 i.e 1/2184 easily. The following is the detailed procedure to determine the greatest common factor of fractions 87/13, 347/42, 119/728.
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 87/13,347/42,119/728?
Given fractions are 87/13,347/42,119/728
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 87/13,347/42,119/728, numerators are 87,347,119
Denominators are 13,42,728
The GCF of 87,347,119 is 1 .
LCM of 13,42,728 is 2184.
The greatest common factor of 87/13,347/42,119/728 = [GCF of 87,347,119]/[LCM of 13,42,728]= 1/2184
Therefore, the GCF of 87/13,347/42,119/728 is 1/2184.
To find the highest common factor of 87,347,119, we have to find the factors of both numbers and list the highest common factor.
The factors of 87 are 1, 3, 29, 87
The factors of 347 are 1, 347
The factors of 119 are 1, 7, 17, 119
The HCF of 87,347,119 is 1.
Lets's calculate GCF of 87,347,119
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 87,347,119 By Matching Biggest Common Factor Method
Now, list down the factors of 87
:1,3,29,87
Now, list down the factors of 347
:1,347
Now, list down the factors of 119
:1,7,17,119
Greatest Common Factor
We found the factors 87,347,119 . The biggest common factor number is the GCF number.
So the greatest common factor 87,347,119 is 1.
Lets's calculate LCM of 13,42,728
| 2 | 13, 42, 728 |
| 7 | 13, 21, 364 |
| 13 | 13, 3, 52 |
| 1, 3, 4 |
∴ So the LCM of the given numbers is 2 x 7 x 13 x 1 x 3 x 4 = 2184
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2184
Therefore, the GCF of Fractions 87/13,347/42,119/728 is 1/2184
Least Common Multiple of 13,42,728 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 13,42,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,42,728) = 1
common factors(in case of two or more numbers have common factors) = 182
GCF(13,42,728) x common factors =1 x 182 = 182
LCM(13,42,728) = ( 13 × 42 × 728 ) / 182
LCM(13,42,728) = 397488 / 182
LCM(13,42,728) = 2184
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FAQs on GCF of Fractions of 87/13, 347/42, 119/728
1. What is the HCF of 87,347,119?
The HCF of 87,347,119 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 87/13, 347/42, 119/728?
Answer: GCF of Numerators as per given numbers 87/13, 347/42, 119/728 is
GCF of Numerators i.e. for 87,347,119 is 1
LCM of denominators i.e. for 13,42,728 is 2184.
Thus, GCF of Fractions is 1/2184.Finally, GCF of Fractions for 87/13, 347/42, 119/728 is 1/2184.