GCF of 327/70, 723/6812
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 327/70, 723/6812 i.e 3/238420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 327/70, 723/6812.
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 327/70,723/6812?
Given fractions are 327/70,723/6812
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 327/70,723/6812, numerators are 327,723
Denominators are 70,6812
The GCF of 327,723 is 3 .
LCM of 70,6812 is 238420.
The greatest common factor of 327/70,723/6812 = [GCF of 327,723]/[LCM of 70,6812]= 3/238420
Therefore, the GCF of 327/70,723/6812 is 3/238420.
To find the highest common factor of 327,723, we have to find the factors of both numbers and list the highest common factor.
The factors of 327 are 1, 3, 109, 327
The factors of 723 are 1, 3, 241, 723
The HCF of 327,723 is 3.
Lets's calculate GCF of 327,723
| 3 | 327, 723 |
| 109, 241 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 327,723 By Matching Biggest Common Factor Method
Now, list down the factors of 327
:1,3,109,327
Now, list down the factors of 723
:1,3,241,723
Greatest Common Factor
We found the factors 327,723 . The biggest common factor number is the GCF number.
So the greatest common factor 327,723 is 3.
Lets's calculate LCM of 70,6812
| 2 | 70, 6812 |
| 35, 3406 |
∴ So the LCM of the given numbers is 2 x 35 x 3406 = 238420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/238420
Therefore, the GCF of Fractions 327/70,723/6812 is 3/238420
Least Common Multiple of 70,6812 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 70,6812 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,6812) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(70,6812) x common factors =2 x 1 = 2
LCM(70,6812) = ( 70 × 6812 ) / 2
LCM(70,6812) = 476840 / 2
LCM(70,6812) = 238420
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FAQs on GCF of Fractions of 327/70, 723/6812
1. What is the HCF of 327,723?
The HCF of 327,723 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 327/70, 723/6812?
Answer: GCF of Numerators as per given numbers 327/70, 723/6812 is
GCF of Numerators i.e. for 327,723 is 3
LCM of denominators i.e. for 70,6812 is 238420.
Thus, GCF of Fractions is 3/238420.Finally, GCF of Fractions for 327/70, 723/6812 is 3/238420.