GCF of 6775/716, 4300/309
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6775/716, 4300/309 i.e 25/221244 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6775/716, 4300/309.
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 6775/716,4300/309?
Given fractions are 6775/716,4300/309
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 6775/716,4300/309, numerators are 6775,4300
Denominators are 716,309
The GCF of 6775,4300 is 25 .
LCM of 716,309 is 221244.
The greatest common factor of 6775/716,4300/309 = [GCF of 6775,4300]/[LCM of 716,309]= 25/221244
Therefore, the GCF of 6775/716,4300/309 is 25/221244.
To find the highest common factor of 6775,4300, we have to find the factors of both numbers and list the highest common factor.
The factors of 6775 are 1, 5, 25, 271, 1355, 6775
The factors of 4300 are 1, 2, 4, 5, 10, 20, 25, 43, 50, 86, 100, 172, 215, 430, 860, 1075, 2150, 4300
The HCF of 6775,4300 is 25.
Lets's calculate GCF of 6775,4300
| 5 | 6775, 4300 |
| 5 | 1355, 860 |
| 271, 172 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Greatest Common Factor of 6775,4300 By Matching Biggest Common Factor Method
Now, list down the factors of 6775
:1,5,25,271,1355,6775
Now, list down the factors of 4300
:1,2,4,5,10,20,25,43,50,86,100,172,215,430,860,1075,2150,4300
Greatest Common Factor
We found the factors 6775,4300 . The biggest common factor number is the GCF number.
So the greatest common factor 6775,4300 is 25.
Lets's calculate LCM of 716,309
Given numbers has no common factors except 1. So, there LCM is their product i.e 221244
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/221244
Therefore, the GCF of Fractions 6775/716,4300/309 is 25/221244
Least Common Multiple of 716,309 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 716,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(716,309) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(716,309) x common factors =1 x 1 = 1
LCM(716,309) = ( 716 × 309 ) / 1
LCM(716,309) = 221244 / 1
LCM(716,309) = 221244
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FAQs on GCF of Fractions of 6775/716, 4300/309
1. What is the HCF of 6775,4300?
The HCF of 6775,4300 is 25
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 6775/716, 4300/309?
Answer: GCF of Numerators as per given numbers 6775/716, 4300/309 is
GCF of Numerators i.e. for 6775,4300 is 25
LCM of denominators i.e. for 716,309 is 221244.
Thus, GCF of Fractions is 25/221244.Finally, GCF of Fractions for 6775/716, 4300/309 is 25/221244.