GCF of 6750/306, 4610/5322
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6750/306, 4610/5322 i.e 10/271422 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6750/306, 4610/5322.
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 6750/306,4610/5322?
Given fractions are 6750/306,4610/5322
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 6750/306,4610/5322, numerators are 6750,4610
Denominators are 306,5322
The GCF of 6750,4610 is 10 .
LCM of 306,5322 is 271422.
The greatest common factor of 6750/306,4610/5322 = [GCF of 6750,4610]/[LCM of 306,5322]= 10/271422
Therefore, the GCF of 6750/306,4610/5322 is 10/271422.
To find the highest common factor of 6750,4610, we have to find the factors of both numbers and list the highest common factor.
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 factors of 4610 are 1, 2, 5, 10, 461, 922, 2305, 4610
The HCF of 6750,4610 is 10.
Lets's calculate GCF of 6750,4610
| 2 | 6750, 4610 |
| 5 | 3375, 2305 |
| 675, 461 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 6750,4610 By Matching Biggest Common Factor Method
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
Now, list down the factors of 4610
:1,2,5,10,461,922,2305,4610
Greatest Common Factor
We found the factors 6750,4610 . The biggest common factor number is the GCF number.
So the greatest common factor 6750,4610 is 10.
Lets's calculate LCM of 306,5322
| 2 | 306, 5322 |
| 3 | 153, 2661 |
| 51, 887 |
∴ So the LCM of the given numbers is 2 x 3 x 51 x 887 = 271422
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/271422
Therefore, the GCF of Fractions 6750/306,4610/5322 is 10/271422
Least Common Multiple of 306,5322 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 306,5322 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(306,5322) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(306,5322) x common factors =6 x 1 = 6
LCM(306,5322) = ( 306 × 5322 ) / 6
LCM(306,5322) = 1628532 / 6
LCM(306,5322) = 271422
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FAQs on GCF of Fractions of 6750/306, 4610/5322
1. What is the HCF of 6750,4610?
The HCF of 6750,4610 is 10
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 6750/306, 4610/5322?
Answer: GCF of Numerators as per given numbers 6750/306, 4610/5322 is
GCF of Numerators i.e. for 6750,4610 is 10
LCM of denominators i.e. for 306,5322 is 271422.
Thus, GCF of Fractions is 10/271422.Finally, GCF of Fractions for 6750/306, 4610/5322 is 10/271422.