GCF of 6040/353, 9175/7778
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6040/353, 9175/7778 i.e 5/2745634 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6040/353, 9175/7778.
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 6040/353,9175/7778?
Given fractions are 6040/353,9175/7778
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 6040/353,9175/7778, numerators are 6040,9175
Denominators are 353,7778
The GCF of 6040,9175 is 5 .
LCM of 353,7778 is 2745634.
The greatest common factor of 6040/353,9175/7778 = [GCF of 6040,9175]/[LCM of 353,7778]= 5/2745634
Therefore, the GCF of 6040/353,9175/7778 is 5/2745634.
To find the highest common factor of 6040,9175, we have to find the factors of both numbers and list the highest common factor.
The factors of 6040 are 1, 2, 4, 5, 8, 10, 20, 40, 151, 302, 604, 755, 1208, 1510, 3020, 6040
The factors of 9175 are 1, 5, 25, 367, 1835, 9175
The HCF of 6040,9175 is 5.
Lets's calculate GCF of 6040,9175
| 5 | 6040, 9175 |
| 1208, 1835 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 6040,9175 By Matching Biggest Common Factor Method
Now, list down the factors of 6040
:1,2,4,5,8,10,20,40,151,302,604,755,1208,1510,3020,6040
Now, list down the factors of 9175
:1,5,25,367,1835,9175
Greatest Common Factor
We found the factors 6040,9175 . The biggest common factor number is the GCF number.
So the greatest common factor 6040,9175 is 5.
Lets's calculate LCM of 353,7778
Given numbers has no common factors except 1. So, there LCM is their product i.e 2745634
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2745634
Therefore, the GCF of Fractions 6040/353,9175/7778 is 5/2745634
Least Common Multiple of 353,7778 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 353,7778 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(353,7778) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(353,7778) x common factors =1 x 1 = 1
LCM(353,7778) = ( 353 × 7778 ) / 1
LCM(353,7778) = 2745634 / 1
LCM(353,7778) = 2745634
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FAQs on GCF of Fractions of 6040/353, 9175/7778
1. What is the HCF of 6040,9175?
The HCF of 6040,9175 is 5
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 6040/353, 9175/7778?
Answer: GCF of Numerators as per given numbers 6040/353, 9175/7778 is
GCF of Numerators i.e. for 6040,9175 is 5
LCM of denominators i.e. for 353,7778 is 2745634.
Thus, GCF of Fractions is 5/2745634.Finally, GCF of Fractions for 6040/353, 9175/7778 is 5/2745634.