GCF of 6750/428, 5283/2612
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6750/428, 5283/2612 i.e 9/279484 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6750/428, 5283/2612.
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 6750/428,5283/2612?
Given fractions are 6750/428,5283/2612
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 6750/428,5283/2612, numerators are 6750,5283
Denominators are 428,2612
The GCF of 6750,5283 is 9 .
LCM of 428,2612 is 279484.
The greatest common factor of 6750/428,5283/2612 = [GCF of 6750,5283]/[LCM of 428,2612]= 9/279484
Therefore, the GCF of 6750/428,5283/2612 is 9/279484.
To find the highest common factor of 6750,5283, 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 5283 are 1, 3, 9, 587, 1761, 5283
The HCF of 6750,5283 is 9.
Lets's calculate GCF of 6750,5283
| 3 | 6750, 5283 |
| 3 | 2250, 1761 |
| 750, 587 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 6750,5283 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 5283
:1,3,9,587,1761,5283
Greatest Common Factor
We found the factors 6750,5283 . The biggest common factor number is the GCF number.
So the greatest common factor 6750,5283 is 9.
Lets's calculate LCM of 428,2612
| 2 | 428, 2612 |
| 2 | 214, 1306 |
| 107, 653 |
∴ So the LCM of the given numbers is 2 x 2 x 107 x 653 = 279484
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/279484
Therefore, the GCF of Fractions 6750/428,5283/2612 is 9/279484
Least Common Multiple of 428,2612 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 428,2612 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(428,2612) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(428,2612) x common factors =4 x 1 = 4
LCM(428,2612) = ( 428 × 2612 ) / 4
LCM(428,2612) = 1117936 / 4
LCM(428,2612) = 279484
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6750/428, 5283/2612
1. What is the HCF of 6750,5283?
The HCF of 6750,5283 is 9
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 6750/428, 5283/2612?
Answer: GCF of Numerators as per given numbers 6750/428, 5283/2612 is
GCF of Numerators i.e. for 6750,5283 is 9
LCM of denominators i.e. for 428,2612 is 279484.
Thus, GCF of Fractions is 9/279484.Finally, GCF of Fractions for 6750/428, 5283/2612 is 9/279484.