GCF of 65/14, 731/54, 882/865
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 65/14, 731/54, 882/865 i.e 1/326970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 65/14, 731/54, 882/865.
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 65/14,731/54,882/865?
Given fractions are 65/14,731/54,882/865
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 65/14,731/54,882/865, numerators are 65,731,882
Denominators are 14,54,865
The GCF of 65,731,882 is 1 .
LCM of 14,54,865 is 326970.
The greatest common factor of 65/14,731/54,882/865 = [GCF of 65,731,882]/[LCM of 14,54,865]= 1/326970
Therefore, the GCF of 65/14,731/54,882/865 is 1/326970.
To find the highest common factor of 65,731,882, we have to find the factors of both numbers and list the highest common factor.
The factors of 65 are 1, 5, 13, 65
The factors of 731 are 1, 17, 43, 731
The factors of 882 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
The HCF of 65,731,882 is 1.
Lets's calculate GCF of 65,731,882
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 65,731,882 By Matching Biggest Common Factor Method
Now, list down the factors of 65
:1,5,13,65
Now, list down the factors of 731
:1,17,43,731
Now, list down the factors of 882
:1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882
Greatest Common Factor
We found the factors 65,731,882 . The biggest common factor number is the GCF number.
So the greatest common factor 65,731,882 is 1.
Lets's calculate LCM of 14,54,865
| 2 | 14, 54, 865 |
| 7, 27, 865 |
∴ So the LCM of the given numbers is 2 x 7 x 27 x 865 = 326970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/326970
Therefore, the GCF of Fractions 65/14,731/54,882/865 is 1/326970
Least Common Multiple of 14,54,865 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 14,54,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,54,865) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(14,54,865) x common factors =1 x 2 = 2
LCM(14,54,865) = ( 14 × 54 × 865 ) / 2
LCM(14,54,865) = 653940 / 2
LCM(14,54,865) = 326970
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 65/14, 731/54, 882/865
1. What is the HCF of 65,731,882?
The HCF of 65,731,882 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 65/14, 731/54, 882/865?
Answer: GCF of Numerators as per given numbers 65/14, 731/54, 882/865 is
GCF of Numerators i.e. for 65,731,882 is 1
LCM of denominators i.e. for 14,54,865 is 326970.
Thus, GCF of Fractions is 1/326970.Finally, GCF of Fractions for 65/14, 731/54, 882/865 is 1/326970.