GCF of 645/192, 265/518, 887/252
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 645/192, 265/518, 887/252 i.e 1/149184 easily. The following is the detailed procedure to determine the greatest common factor of fractions 645/192, 265/518, 887/252.
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 645/192,265/518,887/252?
Given fractions are 645/192,265/518,887/252
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 645/192,265/518,887/252, numerators are 645,265,887
Denominators are 192,518,252
The GCF of 645,265,887 is 1 .
LCM of 192,518,252 is 149184.
The greatest common factor of 645/192,265/518,887/252 = [GCF of 645,265,887]/[LCM of 192,518,252]= 1/149184
Therefore, the GCF of 645/192,265/518,887/252 is 1/149184.
To find the highest common factor of 645,265,887, we have to find the factors of both numbers and list the highest common factor.
The factors of 645 are 1, 3, 5, 15, 43, 129, 215, 645
The factors of 265 are 1, 5, 53, 265
The factors of 887 are 1, 887
The HCF of 645,265,887 is 1.
Lets's calculate GCF of 645,265,887
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 645,265,887 By Matching Biggest Common Factor Method
Now, list down the factors of 645
:1,3,5,15,43,129,215,645
Now, list down the factors of 265
:1,5,53,265
Now, list down the factors of 887
:1,887
Greatest Common Factor
We found the factors 645,265,887 . The biggest common factor number is the GCF number.
So the greatest common factor 645,265,887 is 1.
Lets's calculate LCM of 192,518,252
| 2 | 192, 518, 252 |
| 2 | 96, 259, 126 |
| 3 | 48, 259, 63 |
| 7 | 16, 259, 21 |
| 16, 37, 3 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 16 x 37 x 3 = 149184
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/149184
Therefore, the GCF of Fractions 645/192,265/518,887/252 is 1/149184
Least Common Multiple of 192,518,252 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 192,518,252 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(192,518,252) = 2
common factors(in case of two or more numbers have common factors) = 84
GCF(192,518,252) x common factors =2 x 84 = 168
LCM(192,518,252) = ( 192 × 518 × 252 ) / 168
LCM(192,518,252) = 25062912 / 168
LCM(192,518,252) = 149184
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FAQs on GCF of Fractions of 645/192, 265/518, 887/252
1. What is the HCF of 645,265,887?
The HCF of 645,265,887 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 645/192, 265/518, 887/252?
Answer: GCF of Numerators as per given numbers 645/192, 265/518, 887/252 is
GCF of Numerators i.e. for 645,265,887 is 1
LCM of denominators i.e. for 192,518,252 is 149184.
Thus, GCF of Fractions is 1/149184.Finally, GCF of Fractions for 645/192, 265/518, 887/252 is 1/149184.