GCF of 7430/975, 9580/7039
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7430/975, 9580/7039 i.e 10/6863025 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7430/975, 9580/7039.
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 7430/975,9580/7039?
Given fractions are 7430/975,9580/7039
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 7430/975,9580/7039, numerators are 7430,9580
Denominators are 975,7039
The GCF of 7430,9580 is 10 .
LCM of 975,7039 is 6863025.
The greatest common factor of 7430/975,9580/7039 = [GCF of 7430,9580]/[LCM of 975,7039]= 10/6863025
Therefore, the GCF of 7430/975,9580/7039 is 10/6863025.
To find the highest common factor of 7430,9580, we have to find the factors of both numbers and list the highest common factor.
The factors of 7430 are 1, 2, 5, 10, 743, 1486, 3715, 7430
The factors of 9580 are 1, 2, 4, 5, 10, 20, 479, 958, 1916, 2395, 4790, 9580
The HCF of 7430,9580 is 10.
Lets's calculate GCF of 7430,9580
| 2 | 7430, 9580 |
| 5 | 3715, 4790 |
| 743, 958 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 7430,9580 By Matching Biggest Common Factor Method
Now, list down the factors of 7430
:1,2,5,10,743,1486,3715,7430
Now, list down the factors of 9580
:1,2,4,5,10,20,479,958,1916,2395,4790,9580
Greatest Common Factor
We found the factors 7430,9580 . The biggest common factor number is the GCF number.
So the greatest common factor 7430,9580 is 10.
Lets's calculate LCM of 975,7039
Given numbers has no common factors except 1. So, there LCM is their product i.e 6863025
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/6863025
Therefore, the GCF of Fractions 7430/975,9580/7039 is 10/6863025
Least Common Multiple of 975,7039 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 975,7039 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(975,7039) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(975,7039) x common factors =1 x 1 = 1
LCM(975,7039) = ( 975 × 7039 ) / 1
LCM(975,7039) = 6863025 / 1
LCM(975,7039) = 6863025
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FAQs on GCF of Fractions of 7430/975, 9580/7039
1. What is the HCF of 7430,9580?
The HCF of 7430,9580 is 10
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 7430/975, 9580/7039?
Answer: GCF of Numerators as per given numbers 7430/975, 9580/7039 is
GCF of Numerators i.e. for 7430,9580 is 10
LCM of denominators i.e. for 975,7039 is 6863025.
Thus, GCF of Fractions is 10/6863025.Finally, GCF of Fractions for 7430/975, 9580/7039 is 10/6863025.