GCF of 7253/562, 4440/5602
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7253/562, 4440/5602 i.e 1/1574162 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7253/562, 4440/5602.
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 7253/562,4440/5602?
Given fractions are 7253/562,4440/5602
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 7253/562,4440/5602, numerators are 7253,4440
Denominators are 562,5602
The GCF of 7253,4440 is 1 .
LCM of 562,5602 is 1574162.
The greatest common factor of 7253/562,4440/5602 = [GCF of 7253,4440]/[LCM of 562,5602]= 1/1574162
Therefore, the GCF of 7253/562,4440/5602 is 1/1574162.
To find the highest common factor of 7253,4440, we have to find the factors of both numbers and list the highest common factor.
The factors of 7253 are 1, 7253
The factors of 4440 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 37, 40, 60, 74, 111, 120, 148, 185, 222, 296, 370, 444, 555, 740, 888, 1110, 1480, 2220, 4440
The HCF of 7253,4440 is 1.
Lets's calculate GCF of 7253,4440
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7253,4440 By Matching Biggest Common Factor Method
Now, list down the factors of 7253
:1,7253
Now, list down the factors of 4440
:1,2,3,4,5,6,8,10,12,15,20,24,30,37,40,60,74,111,120,148,185,222,296,370,444,555,740,888,1110,1480,2220,4440
Greatest Common Factor
We found the factors 7253,4440 . The biggest common factor number is the GCF number.
So the greatest common factor 7253,4440 is 1.
Lets's calculate LCM of 562,5602
| 2 | 562, 5602 |
| 281, 2801 |
∴ So the LCM of the given numbers is 2 x 281 x 2801 = 1574162
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1574162
Therefore, the GCF of Fractions 7253/562,4440/5602 is 1/1574162
Least Common Multiple of 562,5602 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 562,5602 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(562,5602) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(562,5602) x common factors =2 x 1 = 2
LCM(562,5602) = ( 562 × 5602 ) / 2
LCM(562,5602) = 3148324 / 2
LCM(562,5602) = 1574162
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FAQs on GCF of Fractions of 7253/562, 4440/5602
1. What is the HCF of 7253,4440?
The HCF of 7253,4440 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 7253/562, 4440/5602?
Answer: GCF of Numerators as per given numbers 7253/562, 4440/5602 is
GCF of Numerators i.e. for 7253,4440 is 1
LCM of denominators i.e. for 562,5602 is 1574162.
Thus, GCF of Fractions is 1/1574162.Finally, GCF of Fractions for 7253/562, 4440/5602 is 1/1574162.