GCF of 741/719, 4428/719
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 741/719, 4428/719 i.e 3/719 easily. The following is the detailed procedure to determine the greatest common factor of fractions 741/719, 4428/719.
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 741/719,4428/719?
Given fractions are 741/719,4428/719
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 741/719,4428/719, numerators are 741,4428
Denominators are 719,719
The GCF of 741,4428 is 3 .
LCM of 719,719 is 719.
The greatest common factor of 741/719,4428/719 = [GCF of 741,4428]/[LCM of 719,719]= 3/719
Therefore, the GCF of 741/719,4428/719 is 3/719.
To find the highest common factor of 741,4428, 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 4428 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 41, 54, 82, 108, 123, 164, 246, 369, 492, 738, 1107, 1476, 2214, 4428
The HCF of 741,4428 is 3.
Lets's calculate GCF of 741,4428
| 3 | 741, 4428 |
| 247, 1476 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 741,4428 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 4428
:1,2,3,4,6,9,12,18,27,36,41,54,82,108,123,164,246,369,492,738,1107,1476,2214,4428
Greatest Common Factor
We found the factors 741,4428 . The biggest common factor number is the GCF number.
So the greatest common factor 741,4428 is 3.
Lets's calculate LCM of 719,719
| 719 | 719, 719 |
| 1, 1 |
∴ So the LCM of the given numbers is 719 x 1 x 1 = 719
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/719
Therefore, the GCF of Fractions 741/719,4428/719 is 3/719
Least Common Multiple of 719,719 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 719,719 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(719,719) = 719
common factors(in case of two or more numbers have common factors) = 1
GCF(719,719) x common factors =719 x 1 = 719
LCM(719,719) = ( 719 × 719 ) / 719
LCM(719,719) = 516961 / 719
LCM(719,719) = 719
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FAQs on GCF of Fractions of 741/719, 4428/719
1. What is the HCF of 741,4428?
The HCF of 741,4428 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 741/719, 4428/719?
Answer: GCF of Numerators as per given numbers 741/719, 4428/719 is
GCF of Numerators i.e. for 741,4428 is 3
LCM of denominators i.e. for 719,719 is 719.
Thus, GCF of Fractions is 3/719.Finally, GCF of Fractions for 741/719, 4428/719 is 3/719.