GCF of 5318/780, 8474/5291
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5318/780, 8474/5291 i.e 2/317460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5318/780, 8474/5291.
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 5318/780,8474/5291?
Given fractions are 5318/780,8474/5291
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 5318/780,8474/5291, numerators are 5318,8474
Denominators are 780,5291
The GCF of 5318,8474 is 2 .
LCM of 780,5291 is 317460.
The greatest common factor of 5318/780,8474/5291 = [GCF of 5318,8474]/[LCM of 780,5291]= 2/317460
Therefore, the GCF of 5318/780,8474/5291 is 2/317460.
To find the highest common factor of 5318,8474, we have to find the factors of both numbers and list the highest common factor.
The factors of 5318 are 1, 2, 2659, 5318
The factors of 8474 are 1, 2, 19, 38, 223, 446, 4237, 8474
The HCF of 5318,8474 is 2.
Lets's calculate GCF of 5318,8474
| 2 | 5318, 8474 |
| 2659, 4237 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5318,8474 By Matching Biggest Common Factor Method
Now, list down the factors of 5318
:1,2,2659,5318
Now, list down the factors of 8474
:1,2,19,38,223,446,4237,8474
Greatest Common Factor
We found the factors 5318,8474 . The biggest common factor number is the GCF number.
So the greatest common factor 5318,8474 is 2.
Lets's calculate LCM of 780,5291
| 13 | 780, 5291 |
| 60, 407 |
∴ So the LCM of the given numbers is 13 x 60 x 407 = 317460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/317460
Therefore, the GCF of Fractions 5318/780,8474/5291 is 2/317460
Least Common Multiple of 780,5291 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 780,5291 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(780,5291) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(780,5291) x common factors =13 x 1 = 13
LCM(780,5291) = ( 780 × 5291 ) / 13
LCM(780,5291) = 4126980 / 13
LCM(780,5291) = 317460
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FAQs on GCF of Fractions of 5318/780, 8474/5291
1. What is the HCF of 5318,8474?
The HCF of 5318,8474 is 2
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 5318/780, 8474/5291?
Answer: GCF of Numerators as per given numbers 5318/780, 8474/5291 is
GCF of Numerators i.e. for 5318,8474 is 2
LCM of denominators i.e. for 780,5291 is 317460.
Thus, GCF of Fractions is 2/317460.Finally, GCF of Fractions for 5318/780, 8474/5291 is 2/317460.