GCF of 7387/473, 8880/360
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7387/473, 8880/360 i.e 1/170280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7387/473, 8880/360.
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 7387/473,8880/360?
Given fractions are 7387/473,8880/360
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 7387/473,8880/360, numerators are 7387,8880
Denominators are 473,360
The GCF of 7387,8880 is 1 .
LCM of 473,360 is 170280.
The greatest common factor of 7387/473,8880/360 = [GCF of 7387,8880]/[LCM of 473,360]= 1/170280
Therefore, the GCF of 7387/473,8880/360 is 1/170280.
To find the highest common factor of 7387,8880, we have to find the factors of both numbers and list the highest common factor.
The factors of 7387 are 1, 83, 89, 7387
The factors of 8880 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 37, 40, 48, 60, 74, 80, 111, 120, 148, 185, 222, 240, 296, 370, 444, 555, 592, 740, 888, 1110, 1480, 1776, 2220, 2960, 4440, 8880
The HCF of 7387,8880 is 1.
Lets's calculate GCF of 7387,8880
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7387,8880 By Matching Biggest Common Factor Method
Now, list down the factors of 7387
:1,83,89,7387
Now, list down the factors of 8880
:1,2,3,4,5,6,8,10,12,15,16,20,24,30,37,40,48,60,74,80,111,120,148,185,222,240,296,370,444,555,592,740,888,1110,1480,1776,2220,2960,4440,8880
Greatest Common Factor
We found the factors 7387,8880 . The biggest common factor number is the GCF number.
So the greatest common factor 7387,8880 is 1.
Lets's calculate LCM of 473,360
Given numbers has no common factors except 1. So, there LCM is their product i.e 170280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/170280
Therefore, the GCF of Fractions 7387/473,8880/360 is 1/170280
Least Common Multiple of 473,360 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 473,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(473,360) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(473,360) x common factors =1 x 1 = 1
LCM(473,360) = ( 473 × 360 ) / 1
LCM(473,360) = 170280 / 1
LCM(473,360) = 170280
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FAQs on GCF of Fractions of 7387/473, 8880/360
1. What is the HCF of 7387,8880?
The HCF of 7387,8880 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 7387/473, 8880/360?
Answer: GCF of Numerators as per given numbers 7387/473, 8880/360 is
GCF of Numerators i.e. for 7387,8880 is 1
LCM of denominators i.e. for 473,360 is 170280.
Thus, GCF of Fractions is 1/170280.Finally, GCF of Fractions for 7387/473, 8880/360 is 1/170280.