GCF of 3744/902, 5789/4614
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3744/902, 5789/4614 i.e 1/2080914 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3744/902, 5789/4614.
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 3744/902,5789/4614?
Given fractions are 3744/902,5789/4614
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 3744/902,5789/4614, numerators are 3744,5789
Denominators are 902,4614
The GCF of 3744,5789 is 1 .
LCM of 902,4614 is 2080914.
The greatest common factor of 3744/902,5789/4614 = [GCF of 3744,5789]/[LCM of 902,4614]= 1/2080914
Therefore, the GCF of 3744/902,5789/4614 is 1/2080914.
To find the highest common factor of 3744,5789, 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 5789 are 1, 7, 827, 5789
The HCF of 3744,5789 is 1.
Lets's calculate GCF of 3744,5789
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3744,5789 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 5789
:1,7,827,5789
Greatest Common Factor
We found the factors 3744,5789 . The biggest common factor number is the GCF number.
So the greatest common factor 3744,5789 is 1.
Lets's calculate LCM of 902,4614
| 2 | 902, 4614 |
| 451, 2307 |
∴ So the LCM of the given numbers is 2 x 451 x 2307 = 2080914
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2080914
Therefore, the GCF of Fractions 3744/902,5789/4614 is 1/2080914
Least Common Multiple of 902,4614 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 902,4614 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(902,4614) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(902,4614) x common factors =2 x 1 = 2
LCM(902,4614) = ( 902 × 4614 ) / 2
LCM(902,4614) = 4161828 / 2
LCM(902,4614) = 2080914
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FAQs on GCF of Fractions of 3744/902, 5789/4614
1. What is the HCF of 3744,5789?
The HCF of 3744,5789 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 3744/902, 5789/4614?
Answer: GCF of Numerators as per given numbers 3744/902, 5789/4614 is
GCF of Numerators i.e. for 3744,5789 is 1
LCM of denominators i.e. for 902,4614 is 2080914.
Thus, GCF of Fractions is 1/2080914.Finally, GCF of Fractions for 3744/902, 5789/4614 is 1/2080914.