GCF of 3744/747, 4693/6474
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3744/747, 4693/6474 i.e 13/19422 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3744/747, 4693/6474.
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 3744/747,4693/6474?
Given fractions are 3744/747,4693/6474
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 3744/747,4693/6474, numerators are 3744,4693
Denominators are 747,6474
The GCF of 3744,4693 is 13 .
LCM of 747,6474 is 19422.
The greatest common factor of 3744/747,4693/6474 = [GCF of 3744,4693]/[LCM of 747,6474]= 13/19422
Therefore, the GCF of 3744/747,4693/6474 is 13/19422.
To find the highest common factor of 3744,4693, we have to find the factors of both numbers and list the highest common factor.
The factors of 3744 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 32, 36, 39, 48, 52, 72, 78, 96, 104, 117, 144, 156, 208, 234, 288, 312, 416, 468, 624, 936, 1248, 1872, 3744
The factors of 4693 are 1, 13, 19, 247, 361, 4693
The HCF of 3744,4693 is 13.
Lets's calculate GCF of 3744,4693
| 13 | 3744, 4693 |
| 288, 361 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 3744,4693 By Matching Biggest Common Factor Method
Now, list down the factors of 3744
:1,2,3,4,6,8,9,12,13,16,18,24,26,32,36,39,48,52,72,78,96,104,117,144,156,208,234,288,312,416,468,624,936,1248,1872,3744
Now, list down the factors of 4693
:1,13,19,247,361,4693
Greatest Common Factor
We found the factors 3744,4693 . The biggest common factor number is the GCF number.
So the greatest common factor 3744,4693 is 13.
Lets's calculate LCM of 747,6474
| 3 | 747, 6474 |
| 83 | 249, 2158 |
| 3, 26 |
∴ So the LCM of the given numbers is 3 x 83 x 3 x 26 = 19422
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/19422
Therefore, the GCF of Fractions 3744/747,4693/6474 is 13/19422
Least Common Multiple of 747,6474 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 747,6474 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(747,6474) = 249
common factors(in case of two or more numbers have common factors) = 1
GCF(747,6474) x common factors =249 x 1 = 249
LCM(747,6474) = ( 747 × 6474 ) / 249
LCM(747,6474) = 4836078 / 249
LCM(747,6474) = 19422
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FAQs on GCF of Fractions of 3744/747, 4693/6474
1. What is the HCF of 3744,4693?
The HCF of 3744,4693 is 13
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 3744/747, 4693/6474?
Answer: GCF of Numerators as per given numbers 3744/747, 4693/6474 is
GCF of Numerators i.e. for 3744,4693 is 13
LCM of denominators i.e. for 747,6474 is 19422.
Thus, GCF of Fractions is 13/19422.Finally, GCF of Fractions for 3744/747, 4693/6474 is 13/19422.