GCF of 3734/220, 7220/2247
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3734/220, 7220/2247 i.e 2/494340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3734/220, 7220/2247.
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 3734/220,7220/2247?
Given fractions are 3734/220,7220/2247
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 3734/220,7220/2247, numerators are 3734,7220
Denominators are 220,2247
The GCF of 3734,7220 is 2 .
LCM of 220,2247 is 494340.
The greatest common factor of 3734/220,7220/2247 = [GCF of 3734,7220]/[LCM of 220,2247]= 2/494340
Therefore, the GCF of 3734/220,7220/2247 is 2/494340.
To find the highest common factor of 3734,7220, we have to find the factors of both numbers and list the highest common factor.
The factors of 3734 are 1, 2, 1867, 3734
The factors of 7220 are 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 361, 380, 722, 1444, 1805, 3610, 7220
The HCF of 3734,7220 is 2.
Lets's calculate GCF of 3734,7220
| 2 | 3734, 7220 |
| 1867, 3610 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3734,7220 By Matching Biggest Common Factor Method
Now, list down the factors of 3734
:1,2,1867,3734
Now, list down the factors of 7220
:1,2,4,5,10,19,20,38,76,95,190,361,380,722,1444,1805,3610,7220
Greatest Common Factor
We found the factors 3734,7220 . The biggest common factor number is the GCF number.
So the greatest common factor 3734,7220 is 2.
Lets's calculate LCM of 220,2247
Given numbers has no common factors except 1. So, there LCM is their product i.e 494340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/494340
Therefore, the GCF of Fractions 3734/220,7220/2247 is 2/494340
Least Common Multiple of 220,2247 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 220,2247 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(220,2247) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(220,2247) x common factors =1 x 1 = 1
LCM(220,2247) = ( 220 × 2247 ) / 1
LCM(220,2247) = 494340 / 1
LCM(220,2247) = 494340
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3734/220, 7220/2247
1. What is the HCF of 3734,7220?
The HCF of 3734,7220 is 2
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 3734/220, 7220/2247?
Answer: GCF of Numerators as per given numbers 3734/220, 7220/2247 is
GCF of Numerators i.e. for 3734,7220 is 2
LCM of denominators i.e. for 220,2247 is 494340.
Thus, GCF of Fractions is 2/494340.Finally, GCF of Fractions for 3734/220, 7220/2247 is 2/494340.