GCF of 7148/489, 7650/135
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7148/489, 7650/135 i.e 2/22005 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7148/489, 7650/135.
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 7148/489,7650/135?
Given fractions are 7148/489,7650/135
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 7148/489,7650/135, numerators are 7148,7650
Denominators are 489,135
The GCF of 7148,7650 is 2 .
LCM of 489,135 is 22005.
The greatest common factor of 7148/489,7650/135 = [GCF of 7148,7650]/[LCM of 489,135]= 2/22005
Therefore, the GCF of 7148/489,7650/135 is 2/22005.
To find the highest common factor of 7148,7650, we have to find the factors of both numbers and list the highest common factor.
The factors of 7148 are 1, 2, 4, 1787, 3574, 7148
The factors of 7650 are 1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 25, 30, 34, 45, 50, 51, 75, 85, 90, 102, 150, 153, 170, 225, 255, 306, 425, 450, 510, 765, 850, 1275, 1530, 2550, 3825, 7650
The HCF of 7148,7650 is 2.
Lets's calculate GCF of 7148,7650
| 2 | 7148, 7650 |
| 3574, 3825 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7148,7650 By Matching Biggest Common Factor Method
Now, list down the factors of 7148
:1,2,4,1787,3574,7148
Now, list down the factors of 7650
:1,2,3,5,6,9,10,15,17,18,25,30,34,45,50,51,75,85,90,102,150,153,170,225,255,306,425,450,510,765,850,1275,1530,2550,3825,7650
Greatest Common Factor
We found the factors 7148,7650 . The biggest common factor number is the GCF number.
So the greatest common factor 7148,7650 is 2.
Lets's calculate LCM of 489,135
| 3 | 489, 135 |
| 163, 45 |
∴ So the LCM of the given numbers is 3 x 163 x 45 = 22005
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/22005
Therefore, the GCF of Fractions 7148/489,7650/135 is 2/22005
Least Common Multiple of 489,135 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 489,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(489,135) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(489,135) x common factors =3 x 1 = 3
LCM(489,135) = ( 489 × 135 ) / 3
LCM(489,135) = 66015 / 3
LCM(489,135) = 22005
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FAQs on GCF of Fractions of 7148/489, 7650/135
1. What is the HCF of 7148,7650?
The HCF of 7148,7650 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 7148/489, 7650/135?
Answer: GCF of Numerators as per given numbers 7148/489, 7650/135 is
GCF of Numerators i.e. for 7148,7650 is 2
LCM of denominators i.e. for 489,135 is 22005.
Thus, GCF of Fractions is 2/22005.Finally, GCF of Fractions for 7148/489, 7650/135 is 2/22005.