GCF of 753/312, 2010/628
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 753/312, 2010/628 i.e 3/48984 easily. The following is the detailed procedure to determine the greatest common factor of fractions 753/312, 2010/628.
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 753/312,2010/628?
Given fractions are 753/312,2010/628
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 753/312,2010/628, numerators are 753,2010
Denominators are 312,628
The GCF of 753,2010 is 3 .
LCM of 312,628 is 48984.
The greatest common factor of 753/312,2010/628 = [GCF of 753,2010]/[LCM of 312,628]= 3/48984
Therefore, the GCF of 753/312,2010/628 is 3/48984.
To find the highest common factor of 753,2010, we have to find the factors of both numbers and list the highest common factor.
The factors of 753 are 1, 3, 251, 753
The factors of 2010 are 1, 2, 3, 5, 6, 10, 15, 30, 67, 134, 201, 335, 402, 670, 1005, 2010
The HCF of 753,2010 is 3.
Lets's calculate GCF of 753,2010
| 3 | 753, 2010 |
| 251, 670 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 753,2010 By Matching Biggest Common Factor Method
Now, list down the factors of 753
:1,3,251,753
Now, list down the factors of 2010
:1,2,3,5,6,10,15,30,67,134,201,335,402,670,1005,2010
Greatest Common Factor
We found the factors 753,2010 . The biggest common factor number is the GCF number.
So the greatest common factor 753,2010 is 3.
Lets's calculate LCM of 312,628
| 2 | 312, 628 |
| 2 | 156, 314 |
| 78, 157 |
∴ So the LCM of the given numbers is 2 x 2 x 78 x 157 = 48984
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/48984
Therefore, the GCF of Fractions 753/312,2010/628 is 3/48984
Least Common Multiple of 312,628 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 312,628 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(312,628) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(312,628) x common factors =4 x 1 = 4
LCM(312,628) = ( 312 × 628 ) / 4
LCM(312,628) = 195936 / 4
LCM(312,628) = 48984
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 753/312, 2010/628
1. What is the HCF of 753,2010?
The HCF of 753,2010 is 3
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 753/312, 2010/628?
Answer: GCF of Numerators as per given numbers 753/312, 2010/628 is
GCF of Numerators i.e. for 753,2010 is 3
LCM of denominators i.e. for 312,628 is 48984.
Thus, GCF of Fractions is 3/48984.Finally, GCF of Fractions for 753/312, 2010/628 is 3/48984.