GCF of 7372/311, 6213/7279
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7372/311, 6213/7279 i.e 19/2263769 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7372/311, 6213/7279.
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 7372/311,6213/7279?
Given fractions are 7372/311,6213/7279
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 7372/311,6213/7279, numerators are 7372,6213
Denominators are 311,7279
The GCF of 7372,6213 is 19 .
LCM of 311,7279 is 2263769.
The greatest common factor of 7372/311,6213/7279 = [GCF of 7372,6213]/[LCM of 311,7279]= 19/2263769
Therefore, the GCF of 7372/311,6213/7279 is 19/2263769.
To find the highest common factor of 7372,6213, we have to find the factors of both numbers and list the highest common factor.
The factors of 7372 are 1, 2, 4, 19, 38, 76, 97, 194, 388, 1843, 3686, 7372
The factors of 6213 are 1, 3, 19, 57, 109, 327, 2071, 6213
The HCF of 7372,6213 is 19.
Lets's calculate GCF of 7372,6213
| 19 | 7372, 6213 |
| 388, 327 |
∴ So the GCF of the given numbers is 19 = 19
Greatest Common Factor of 7372,6213 By Matching Biggest Common Factor Method
Now, list down the factors of 7372
:1,2,4,19,38,76,97,194,388,1843,3686,7372
Now, list down the factors of 6213
:1,3,19,57,109,327,2071,6213
Greatest Common Factor
We found the factors 7372,6213 . The biggest common factor number is the GCF number.
So the greatest common factor 7372,6213 is 19.
Lets's calculate LCM of 311,7279
Given numbers has no common factors except 1. So, there LCM is their product i.e 2263769
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/2263769
Therefore, the GCF of Fractions 7372/311,6213/7279 is 19/2263769
Least Common Multiple of 311,7279 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 311,7279 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(311,7279) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(311,7279) x common factors =1 x 1 = 1
LCM(311,7279) = ( 311 × 7279 ) / 1
LCM(311,7279) = 2263769 / 1
LCM(311,7279) = 2263769
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FAQs on GCF of Fractions of 7372/311, 6213/7279
1. What is the HCF of 7372,6213?
The HCF of 7372,6213 is 19
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 7372/311, 6213/7279?
Answer: GCF of Numerators as per given numbers 7372/311, 6213/7279 is
GCF of Numerators i.e. for 7372,6213 is 19
LCM of denominators i.e. for 311,7279 is 2263769.
Thus, GCF of Fractions is 19/2263769.Finally, GCF of Fractions for 7372/311, 6213/7279 is 19/2263769.