GCF of 9515/212, 6750/7250
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9515/212, 6750/7250 i.e 5/768500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9515/212, 6750/7250.
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 9515/212,6750/7250?
Given fractions are 9515/212,6750/7250
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 9515/212,6750/7250, numerators are 9515,6750
Denominators are 212,7250
The GCF of 9515,6750 is 5 .
LCM of 212,7250 is 768500.
The greatest common factor of 9515/212,6750/7250 = [GCF of 9515,6750]/[LCM of 212,7250]= 5/768500
Therefore, the GCF of 9515/212,6750/7250 is 5/768500.
To find the highest common factor of 9515,6750, we have to find the factors of both numbers and list the highest common factor.
The factors of 9515 are 1, 5, 11, 55, 173, 865, 1903, 9515
The factors of 6750 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 125, 135, 150, 225, 250, 270, 375, 450, 675, 750, 1125, 1350, 2250, 3375, 6750
The HCF of 9515,6750 is 5.
Lets's calculate GCF of 9515,6750
| 5 | 9515, 6750 |
| 1903, 1350 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 9515,6750 By Matching Biggest Common Factor Method
Now, list down the factors of 9515
:1,5,11,55,173,865,1903,9515
Now, list down the factors of 6750
:1,2,3,5,6,9,10,15,18,25,27,30,45,50,54,75,90,125,135,150,225,250,270,375,450,675,750,1125,1350,2250,3375,6750
Greatest Common Factor
We found the factors 9515,6750 . The biggest common factor number is the GCF number.
So the greatest common factor 9515,6750 is 5.
Lets's calculate LCM of 212,7250
| 2 | 212, 7250 |
| 106, 3625 |
∴ So the LCM of the given numbers is 2 x 106 x 3625 = 768500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/768500
Therefore, the GCF of Fractions 9515/212,6750/7250 is 5/768500
Least Common Multiple of 212,7250 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 212,7250 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(212,7250) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(212,7250) x common factors =2 x 1 = 2
LCM(212,7250) = ( 212 × 7250 ) / 2
LCM(212,7250) = 1537000 / 2
LCM(212,7250) = 768500
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FAQs on GCF of Fractions of 9515/212, 6750/7250
1. What is the HCF of 9515,6750?
The HCF of 9515,6750 is 5
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 9515/212, 6750/7250?
Answer: GCF of Numerators as per given numbers 9515/212, 6750/7250 is
GCF of Numerators i.e. for 9515,6750 is 5
LCM of denominators i.e. for 212,7250 is 768500.
Thus, GCF of Fractions is 5/768500.Finally, GCF of Fractions for 9515/212, 6750/7250 is 5/768500.