GCF of 741/202, 784/457, 775/244
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 741/202, 784/457, 775/244 i.e 1/11262308 easily. The following is the detailed procedure to determine the greatest common factor of fractions 741/202, 784/457, 775/244.
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 741/202,784/457,775/244?
Given fractions are 741/202,784/457,775/244
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 741/202,784/457,775/244, numerators are 741,784,775
Denominators are 202,457,244
The GCF of 741,784,775 is 1 .
LCM of 202,457,244 is 11262308.
The greatest common factor of 741/202,784/457,775/244 = [GCF of 741,784,775]/[LCM of 202,457,244]= 1/11262308
Therefore, the GCF of 741/202,784/457,775/244 is 1/11262308.
To find the highest common factor of 741,784,775, we have to find the factors of both numbers and list the highest common factor.
The factors of 741 are 1, 3, 13, 19, 39, 57, 247, 741
The factors of 784 are 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
The factors of 775 are 1, 5, 25, 31, 155, 775
The HCF of 741,784,775 is 1.
Lets's calculate GCF of 741,784,775
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 741,784,775 By Matching Biggest Common Factor Method
Now, list down the factors of 741
:1,3,13,19,39,57,247,741
Now, list down the factors of 784
:1,2,4,7,8,14,16,28,49,56,98,112,196,392,784
Now, list down the factors of 775
:1,5,25,31,155,775
Greatest Common Factor
We found the factors 741,784,775 . The biggest common factor number is the GCF number.
So the greatest common factor 741,784,775 is 1.
Lets's calculate LCM of 202,457,244
| 2 | 202, 457, 244 |
| 101, 457, 122 |
∴ So the LCM of the given numbers is 2 x 101 x 457 x 122 = 11262308
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11262308
Therefore, the GCF of Fractions 741/202,784/457,775/244 is 1/11262308
Least Common Multiple of 202,457,244 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 202,457,244 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(202,457,244) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(202,457,244) x common factors =1 x 2 = 2
LCM(202,457,244) = ( 202 × 457 × 244 ) / 2
LCM(202,457,244) = 22524616 / 2
LCM(202,457,244) = 11262308
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 741/202, 784/457, 775/244
1. What is the HCF of 741,784,775?
The HCF of 741,784,775 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 741/202, 784/457, 775/244?
Answer: GCF of Numerators as per given numbers 741/202, 784/457, 775/244 is
GCF of Numerators i.e. for 741,784,775 is 1
LCM of denominators i.e. for 202,457,244 is 11262308.
Thus, GCF of Fractions is 1/11262308.Finally, GCF of Fractions for 741/202, 784/457, 775/244 is 1/11262308.