GCF of 7713/580, 7792/7258
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7713/580, 7792/7258 i.e 1/2104820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7713/580, 7792/7258.
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 7713/580,7792/7258?
Given fractions are 7713/580,7792/7258
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 7713/580,7792/7258, numerators are 7713,7792
Denominators are 580,7258
The GCF of 7713,7792 is 1 .
LCM of 580,7258 is 2104820.
The greatest common factor of 7713/580,7792/7258 = [GCF of 7713,7792]/[LCM of 580,7258]= 1/2104820
Therefore, the GCF of 7713/580,7792/7258 is 1/2104820.
To find the highest common factor of 7713,7792, we have to find the factors of both numbers and list the highest common factor.
The factors of 7713 are 1, 3, 9, 857, 2571, 7713
The factors of 7792 are 1, 2, 4, 8, 16, 487, 974, 1948, 3896, 7792
The HCF of 7713,7792 is 1.
Lets's calculate GCF of 7713,7792
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7713,7792 By Matching Biggest Common Factor Method
Now, list down the factors of 7713
:1,3,9,857,2571,7713
Now, list down the factors of 7792
:1,2,4,8,16,487,974,1948,3896,7792
Greatest Common Factor
We found the factors 7713,7792 . The biggest common factor number is the GCF number.
So the greatest common factor 7713,7792 is 1.
Lets's calculate LCM of 580,7258
| 2 | 580, 7258 |
| 290, 3629 |
∴ So the LCM of the given numbers is 2 x 290 x 3629 = 2104820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2104820
Therefore, the GCF of Fractions 7713/580,7792/7258 is 1/2104820
Least Common Multiple of 580,7258 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 580,7258 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(580,7258) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(580,7258) x common factors =2 x 1 = 2
LCM(580,7258) = ( 580 × 7258 ) / 2
LCM(580,7258) = 4209640 / 2
LCM(580,7258) = 2104820
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FAQs on GCF of Fractions of 7713/580, 7792/7258
1. What is the HCF of 7713,7792?
The HCF of 7713,7792 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 7713/580, 7792/7258?
Answer: GCF of Numerators as per given numbers 7713/580, 7792/7258 is
GCF of Numerators i.e. for 7713,7792 is 1
LCM of denominators i.e. for 580,7258 is 2104820.
Thus, GCF of Fractions is 1/2104820.Finally, GCF of Fractions for 7713/580, 7792/7258 is 1/2104820.