GCF of 87/508, 204/418, 695/736
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 87/508, 204/418, 695/736 i.e 1/19535648 easily. The following is the detailed procedure to determine the greatest common factor of fractions 87/508, 204/418, 695/736.
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 87/508,204/418,695/736?
Given fractions are 87/508,204/418,695/736
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 87/508,204/418,695/736, numerators are 87,204,695
Denominators are 508,418,736
The GCF of 87,204,695 is 1 .
LCM of 508,418,736 is 19535648.
The greatest common factor of 87/508,204/418,695/736 = [GCF of 87,204,695]/[LCM of 508,418,736]= 1/19535648
Therefore, the GCF of 87/508,204/418,695/736 is 1/19535648.
To find the highest common factor of 87,204,695, 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 204 are 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
The factors of 695 are 1, 5, 139, 695
The HCF of 87,204,695 is 1.
Lets's calculate GCF of 87,204,695
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 87,204,695 By Matching Biggest Common Factor Method
Now, list down the factors of 87
:1,3,29,87
Now, list down the factors of 204
:1,2,3,4,6,12,17,34,51,68,102,204
Now, list down the factors of 695
:1,5,139,695
Greatest Common Factor
We found the factors 87,204,695 . The biggest common factor number is the GCF number.
So the greatest common factor 87,204,695 is 1.
Lets's calculate LCM of 508,418,736
| 2 | 508, 418, 736 |
| 2 | 254, 209, 368 |
| 127, 209, 184 |
∴ So the LCM of the given numbers is 2 x 2 x 127 x 209 x 184 = 19535648
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19535648
Therefore, the GCF of Fractions 87/508,204/418,695/736 is 1/19535648
Least Common Multiple of 508,418,736 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 508,418,736 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(508,418,736) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(508,418,736) x common factors =2 x 4 = 8
LCM(508,418,736) = ( 508 × 418 × 736 ) / 8
LCM(508,418,736) = 156285184 / 8
LCM(508,418,736) = 19535648
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 87/508, 204/418, 695/736
1. What is the HCF of 87,204,695?
The HCF of 87,204,695 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 87/508, 204/418, 695/736?
Answer: GCF of Numerators as per given numbers 87/508, 204/418, 695/736 is
GCF of Numerators i.e. for 87,204,695 is 1
LCM of denominators i.e. for 508,418,736 is 19535648.
Thus, GCF of Fractions is 1/19535648.Finally, GCF of Fractions for 87/508, 204/418, 695/736 is 1/19535648.