GCF of 65/449, 903/766, 921/972
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 65/449, 903/766, 921/972 i.e 1/167151924 easily. The following is the detailed procedure to determine the greatest common factor of fractions 65/449, 903/766, 921/972.
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 65/449,903/766,921/972?
Given fractions are 65/449,903/766,921/972
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 65/449,903/766,921/972, numerators are 65,903,921
Denominators are 449,766,972
The GCF of 65,903,921 is 1 .
LCM of 449,766,972 is 167151924.
The greatest common factor of 65/449,903/766,921/972 = [GCF of 65,903,921]/[LCM of 449,766,972]= 1/167151924
Therefore, the GCF of 65/449,903/766,921/972 is 1/167151924.
To find the highest common factor of 65,903,921, 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 903 are 1, 3, 7, 21, 43, 129, 301, 903
The factors of 921 are 1, 3, 307, 921
The HCF of 65,903,921 is 1.
Lets's calculate GCF of 65,903,921
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 65,903,921 By Matching Biggest Common Factor Method
Now, list down the factors of 65
:1,5,13,65
Now, list down the factors of 903
:1,3,7,21,43,129,301,903
Now, list down the factors of 921
:1,3,307,921
Greatest Common Factor
We found the factors 65,903,921 . The biggest common factor number is the GCF number.
So the greatest common factor 65,903,921 is 1.
Lets's calculate LCM of 449,766,972
| 2 | 449, 766, 972 |
| 449, 383, 486 |
∴ So the LCM of the given numbers is 2 x 449 x 383 x 486 = 167151924
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/167151924
Therefore, the GCF of Fractions 65/449,903/766,921/972 is 1/167151924
Least Common Multiple of 449,766,972 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 449,766,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(449,766,972) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(449,766,972) x common factors =1 x 2 = 2
LCM(449,766,972) = ( 449 × 766 × 972 ) / 2
LCM(449,766,972) = 334303848 / 2
LCM(449,766,972) = 167151924
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 65/449, 903/766, 921/972
1. What is the HCF of 65,903,921?
The HCF of 65,903,921 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 65/449, 903/766, 921/972?
Answer: GCF of Numerators as per given numbers 65/449, 903/766, 921/972 is
GCF of Numerators i.e. for 65,903,921 is 1
LCM of denominators i.e. for 449,766,972 is 167151924.
Thus, GCF of Fractions is 1/167151924.Finally, GCF of Fractions for 65/449, 903/766, 921/972 is 1/167151924.