GCF of 1250/489, 7254/8270
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1250/489, 7254/8270 i.e 2/4044030 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1250/489, 7254/8270.
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 1250/489,7254/8270?
Given fractions are 1250/489,7254/8270
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 1250/489,7254/8270, numerators are 1250,7254
Denominators are 489,8270
The GCF of 1250,7254 is 2 .
LCM of 489,8270 is 4044030.
The greatest common factor of 1250/489,7254/8270 = [GCF of 1250,7254]/[LCM of 489,8270]= 2/4044030
Therefore, the GCF of 1250/489,7254/8270 is 2/4044030.
To find the highest common factor of 1250,7254, we have to find the factors of both numbers and list the highest common factor.
The factors of 1250 are 1, 2, 5, 10, 25, 50, 125, 250, 625, 1250
The factors of 7254 are 1, 2, 3, 6, 9, 13, 18, 26, 31, 39, 62, 78, 93, 117, 186, 234, 279, 403, 558, 806, 1209, 2418, 3627, 7254
The HCF of 1250,7254 is 2.
Lets's calculate GCF of 1250,7254
| 2 | 1250, 7254 |
| 625, 3627 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1250,7254 By Matching Biggest Common Factor Method
Now, list down the factors of 1250
:1,2,5,10,25,50,125,250,625,1250
Now, list down the factors of 7254
:1,2,3,6,9,13,18,26,31,39,62,78,93,117,186,234,279,403,558,806,1209,2418,3627,7254
Greatest Common Factor
We found the factors 1250,7254 . The biggest common factor number is the GCF number.
So the greatest common factor 1250,7254 is 2.
Lets's calculate LCM of 489,8270
Given numbers has no common factors except 1. So, there LCM is their product i.e 4044030
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4044030
Therefore, the GCF of Fractions 1250/489,7254/8270 is 2/4044030
Least Common Multiple of 489,8270 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 489,8270 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(489,8270) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(489,8270) x common factors =1 x 1 = 1
LCM(489,8270) = ( 489 × 8270 ) / 1
LCM(489,8270) = 4044030 / 1
LCM(489,8270) = 4044030
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FAQs on GCF of Fractions of 1250/489, 7254/8270
1. What is the HCF of 1250,7254?
The HCF of 1250,7254 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 1250/489, 7254/8270?
Answer: GCF of Numerators as per given numbers 1250/489, 7254/8270 is
GCF of Numerators i.e. for 1250,7254 is 2
LCM of denominators i.e. for 489,8270 is 4044030.
Thus, GCF of Fractions is 2/4044030.Finally, GCF of Fractions for 1250/489, 7254/8270 is 2/4044030.