GCF of 8880/830, 7393/1498
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8880/830, 7393/1498 i.e 1/621670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8880/830, 7393/1498.
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 8880/830,7393/1498?
Given fractions are 8880/830,7393/1498
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 8880/830,7393/1498, numerators are 8880,7393
Denominators are 830,1498
The GCF of 8880,7393 is 1 .
LCM of 830,1498 is 621670.
The greatest common factor of 8880/830,7393/1498 = [GCF of 8880,7393]/[LCM of 830,1498]= 1/621670
Therefore, the GCF of 8880/830,7393/1498 is 1/621670.
To find the highest common factor of 8880,7393, we have to find the factors of both numbers and list the highest common factor.
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 factors of 7393 are 1, 7393
The HCF of 8880,7393 is 1.
Lets's calculate GCF of 8880,7393
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8880,7393 By Matching Biggest Common Factor Method
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
Now, list down the factors of 7393
:1,7393
Greatest Common Factor
We found the factors 8880,7393 . The biggest common factor number is the GCF number.
So the greatest common factor 8880,7393 is 1.
Lets's calculate LCM of 830,1498
| 2 | 830, 1498 |
| 415, 749 |
∴ So the LCM of the given numbers is 2 x 415 x 749 = 621670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/621670
Therefore, the GCF of Fractions 8880/830,7393/1498 is 1/621670
Least Common Multiple of 830,1498 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 830,1498 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(830,1498) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(830,1498) x common factors =2 x 1 = 2
LCM(830,1498) = ( 830 × 1498 ) / 2
LCM(830,1498) = 1243340 / 2
LCM(830,1498) = 621670
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FAQs on GCF of Fractions of 8880/830, 7393/1498
1. What is the HCF of 8880,7393?
The HCF of 8880,7393 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 8880/830, 7393/1498?
Answer: GCF of Numerators as per given numbers 8880/830, 7393/1498 is
GCF of Numerators i.e. for 8880,7393 is 1
LCM of denominators i.e. for 830,1498 is 621670.
Thus, GCF of Fractions is 1/621670.Finally, GCF of Fractions for 8880/830, 7393/1498 is 1/621670.