GCF of 7270/787, 6422/6304
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7270/787, 6422/6304 i.e 2/4961248 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7270/787, 6422/6304.
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 7270/787,6422/6304?
Given fractions are 7270/787,6422/6304
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 7270/787,6422/6304, numerators are 7270,6422
Denominators are 787,6304
The GCF of 7270,6422 is 2 .
LCM of 787,6304 is 4961248.
The greatest common factor of 7270/787,6422/6304 = [GCF of 7270,6422]/[LCM of 787,6304]= 2/4961248
Therefore, the GCF of 7270/787,6422/6304 is 2/4961248.
To find the highest common factor of 7270,6422, we have to find the factors of both numbers and list the highest common factor.
The factors of 7270 are 1, 2, 5, 10, 727, 1454, 3635, 7270
The factors of 6422 are 1, 2, 13, 19, 26, 38, 169, 247, 338, 494, 3211, 6422
The HCF of 7270,6422 is 2.
Lets's calculate GCF of 7270,6422
| 2 | 7270, 6422 |
| 3635, 3211 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7270,6422 By Matching Biggest Common Factor Method
Now, list down the factors of 7270
:1,2,5,10,727,1454,3635,7270
Now, list down the factors of 6422
:1,2,13,19,26,38,169,247,338,494,3211,6422
Greatest Common Factor
We found the factors 7270,6422 . The biggest common factor number is the GCF number.
So the greatest common factor 7270,6422 is 2.
Lets's calculate LCM of 787,6304
Given numbers has no common factors except 1. So, there LCM is their product i.e 4961248
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4961248
Therefore, the GCF of Fractions 7270/787,6422/6304 is 2/4961248
Least Common Multiple of 787,6304 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 787,6304 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(787,6304) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(787,6304) x common factors =1 x 1 = 1
LCM(787,6304) = ( 787 × 6304 ) / 1
LCM(787,6304) = 4961248 / 1
LCM(787,6304) = 4961248
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FAQs on GCF of Fractions of 7270/787, 6422/6304
1. What is the HCF of 7270,6422?
The HCF of 7270,6422 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 7270/787, 6422/6304?
Answer: GCF of Numerators as per given numbers 7270/787, 6422/6304 is
GCF of Numerators i.e. for 7270,6422 is 2
LCM of denominators i.e. for 787,6304 is 4961248.
Thus, GCF of Fractions is 2/4961248.Finally, GCF of Fractions for 7270/787, 6422/6304 is 2/4961248.