GCF of 741/782, 1281/4675
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 741/782, 1281/4675 i.e 3/215050 easily. The following is the detailed procedure to determine the greatest common factor of fractions 741/782, 1281/4675.
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 741/782,1281/4675?
Given fractions are 741/782,1281/4675
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 741/782,1281/4675, numerators are 741,1281
Denominators are 782,4675
The GCF of 741,1281 is 3 .
LCM of 782,4675 is 215050.
The greatest common factor of 741/782,1281/4675 = [GCF of 741,1281]/[LCM of 782,4675]= 3/215050
Therefore, the GCF of 741/782,1281/4675 is 3/215050.
To find the highest common factor of 741,1281, 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 1281 are 1, 3, 7, 21, 61, 183, 427, 1281
The HCF of 741,1281 is 3.
Lets's calculate GCF of 741,1281
| 3 | 741, 1281 |
| 247, 427 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 741,1281 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 1281
:1,3,7,21,61,183,427,1281
Greatest Common Factor
We found the factors 741,1281 . The biggest common factor number is the GCF number.
So the greatest common factor 741,1281 is 3.
Lets's calculate LCM of 782,4675
| 17 | 782, 4675 |
| 46, 275 |
∴ So the LCM of the given numbers is 17 x 46 x 275 = 215050
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/215050
Therefore, the GCF of Fractions 741/782,1281/4675 is 3/215050
Least Common Multiple of 782,4675 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 782,4675 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(782,4675) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(782,4675) x common factors =17 x 1 = 17
LCM(782,4675) = ( 782 × 4675 ) / 17
LCM(782,4675) = 3655850 / 17
LCM(782,4675) = 215050
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FAQs on GCF of Fractions of 741/782, 1281/4675
1. What is the HCF of 741,1281?
The HCF of 741,1281 is 3
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 741/782, 1281/4675?
Answer: GCF of Numerators as per given numbers 741/782, 1281/4675 is
GCF of Numerators i.e. for 741,1281 is 3
LCM of denominators i.e. for 782,4675 is 215050.
Thus, GCF of Fractions is 3/215050.Finally, GCF of Fractions for 741/782, 1281/4675 is 3/215050.