GCF of 865/202, 964/666, 450/274
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 865/202, 964/666, 450/274 i.e 1/9215442 easily. The following is the detailed procedure to determine the greatest common factor of fractions 865/202, 964/666, 450/274.
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 865/202,964/666,450/274?
Given fractions are 865/202,964/666,450/274
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 865/202,964/666,450/274, numerators are 865,964,450
Denominators are 202,666,274
The GCF of 865,964,450 is 1 .
LCM of 202,666,274 is 9215442.
The greatest common factor of 865/202,964/666,450/274 = [GCF of 865,964,450]/[LCM of 202,666,274]= 1/9215442
Therefore, the GCF of 865/202,964/666,450/274 is 1/9215442.
To find the highest common factor of 865,964,450, we have to find the factors of both numbers and list the highest common factor.
The factors of 865 are 1, 5, 173, 865
The factors of 964 are 1, 2, 4, 241, 482, 964
The factors of 450 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
The HCF of 865,964,450 is 1.
Lets's calculate GCF of 865,964,450
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 865,964,450 By Matching Biggest Common Factor Method
Now, list down the factors of 865
:1,5,173,865
Now, list down the factors of 964
:1,2,4,241,482,964
Now, list down the factors of 450
:1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450
Greatest Common Factor
We found the factors 865,964,450 . The biggest common factor number is the GCF number.
So the greatest common factor 865,964,450 is 1.
Lets's calculate LCM of 202,666,274
| 2 | 202, 666, 274 |
| 101, 333, 137 |
∴ So the LCM of the given numbers is 2 x 101 x 333 x 137 = 9215442
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9215442
Therefore, the GCF of Fractions 865/202,964/666,450/274 is 1/9215442
Least Common Multiple of 202,666,274 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 202,666,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(202,666,274) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(202,666,274) x common factors =2 x 2 = 4
LCM(202,666,274) = ( 202 × 666 × 274 ) / 4
LCM(202,666,274) = 36861768 / 4
LCM(202,666,274) = 9215442
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 865/202, 964/666, 450/274
1. What is the HCF of 865,964,450?
The HCF of 865,964,450 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 865/202, 964/666, 450/274?
Answer: GCF of Numerators as per given numbers 865/202, 964/666, 450/274 is
GCF of Numerators i.e. for 865,964,450 is 1
LCM of denominators i.e. for 202,666,274 is 9215442.
Thus, GCF of Fractions is 1/9215442.Finally, GCF of Fractions for 865/202, 964/666, 450/274 is 1/9215442.