GCF of 895/24, 902/66, 217/72
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 895/24, 902/66, 217/72 i.e 1/792 easily. The following is the detailed procedure to determine the greatest common factor of fractions 895/24, 902/66, 217/72.
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 895/24,902/66,217/72?
Given fractions are 895/24,902/66,217/72
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 895/24,902/66,217/72, numerators are 895,902,217
Denominators are 24,66,72
The GCF of 895,902,217 is 1 .
LCM of 24,66,72 is 792.
The greatest common factor of 895/24,902/66,217/72 = [GCF of 895,902,217]/[LCM of 24,66,72]= 1/792
Therefore, the GCF of 895/24,902/66,217/72 is 1/792.
To find the highest common factor of 895,902,217, we have to find the factors of both numbers and list the highest common factor.
The factors of 895 are 1, 5, 179, 895
The factors of 902 are 1, 2, 11, 22, 41, 82, 451, 902
The factors of 217 are 1, 7, 31, 217
The HCF of 895,902,217 is 1.
Lets's calculate GCF of 895,902,217
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 895,902,217 By Matching Biggest Common Factor Method
Now, list down the factors of 895
:1,5,179,895
Now, list down the factors of 902
:1,2,11,22,41,82,451,902
Now, list down the factors of 217
:1,7,31,217
Greatest Common Factor
We found the factors 895,902,217 . The biggest common factor number is the GCF number.
So the greatest common factor 895,902,217 is 1.
Lets's calculate LCM of 24,66,72
| 2 | 24, 66, 72 |
| 2 | 12, 33, 36 |
| 2 | 6, 33, 18 |
| 3 | 3, 33, 9 |
| 1, 11, 3 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 1 x 11 x 3 = 792
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/792
Therefore, the GCF of Fractions 895/24,902/66,217/72 is 1/792
Least Common Multiple of 24,66,72 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 24,66,72 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,66,72) = 6
common factors(in case of two or more numbers have common factors) = 24
GCF(24,66,72) x common factors =6 x 24 = 144
LCM(24,66,72) = ( 24 × 66 × 72 ) / 144
LCM(24,66,72) = 114048 / 144
LCM(24,66,72) = 792
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FAQs on GCF of Fractions of 895/24, 902/66, 217/72
1. What is the HCF of 895,902,217?
The HCF of 895,902,217 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 895/24, 902/66, 217/72?
Answer: GCF of Numerators as per given numbers 895/24, 902/66, 217/72 is
GCF of Numerators i.e. for 895,902,217 is 1
LCM of denominators i.e. for 24,66,72 is 792.
Thus, GCF of Fractions is 1/792.Finally, GCF of Fractions for 895/24, 902/66, 217/72 is 1/792.