GCF of 6073/778, 9213/615
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6073/778, 9213/615 i.e 1/478470 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6073/778, 9213/615.
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 6073/778,9213/615?
Given fractions are 6073/778,9213/615
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 6073/778,9213/615, numerators are 6073,9213
Denominators are 778,615
The GCF of 6073,9213 is 1 .
LCM of 778,615 is 478470.
The greatest common factor of 6073/778,9213/615 = [GCF of 6073,9213]/[LCM of 778,615]= 1/478470
Therefore, the GCF of 6073/778,9213/615 is 1/478470.
To find the highest common factor of 6073,9213, we have to find the factors of both numbers and list the highest common factor.
The factors of 6073 are 1, 6073
The factors of 9213 are 1, 3, 37, 83, 111, 249, 3071, 9213
The HCF of 6073,9213 is 1.
Lets's calculate GCF of 6073,9213
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6073,9213 By Matching Biggest Common Factor Method
Now, list down the factors of 6073
:1,6073
Now, list down the factors of 9213
:1,3,37,83,111,249,3071,9213
Greatest Common Factor
We found the factors 6073,9213 . The biggest common factor number is the GCF number.
So the greatest common factor 6073,9213 is 1.
Lets's calculate LCM of 778,615
Given numbers has no common factors except 1. So, there LCM is their product i.e 478470
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/478470
Therefore, the GCF of Fractions 6073/778,9213/615 is 1/478470
Least Common Multiple of 778,615 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 778,615 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(778,615) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(778,615) x common factors =1 x 1 = 1
LCM(778,615) = ( 778 × 615 ) / 1
LCM(778,615) = 478470 / 1
LCM(778,615) = 478470
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FAQs on GCF of Fractions of 6073/778, 9213/615
1. What is the HCF of 6073,9213?
The HCF of 6073,9213 is 1
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 6073/778, 9213/615?
Answer: GCF of Numerators as per given numbers 6073/778, 9213/615 is
GCF of Numerators i.e. for 6073,9213 is 1
LCM of denominators i.e. for 778,615 is 478470.
Thus, GCF of Fractions is 1/478470.Finally, GCF of Fractions for 6073/778, 9213/615 is 1/478470.