GCF of 7430/751, 7958/6595
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7430/751, 7958/6595 i.e 2/4952845 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7430/751, 7958/6595.
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 7430/751,7958/6595?
Given fractions are 7430/751,7958/6595
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 7430/751,7958/6595, numerators are 7430,7958
Denominators are 751,6595
The GCF of 7430,7958 is 2 .
LCM of 751,6595 is 4952845.
The greatest common factor of 7430/751,7958/6595 = [GCF of 7430,7958]/[LCM of 751,6595]= 2/4952845
Therefore, the GCF of 7430/751,7958/6595 is 2/4952845.
To find the highest common factor of 7430,7958, 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 7958 are 1, 2, 23, 46, 173, 346, 3979, 7958
The HCF of 7430,7958 is 2.
Lets's calculate GCF of 7430,7958
| 2 | 7430, 7958 |
| 3715, 3979 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7430,7958 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 7958
:1,2,23,46,173,346,3979,7958
Greatest Common Factor
We found the factors 7430,7958 . The biggest common factor number is the GCF number.
So the greatest common factor 7430,7958 is 2.
Lets's calculate LCM of 751,6595
Given numbers has no common factors except 1. So, there LCM is their product i.e 4952845
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4952845
Therefore, the GCF of Fractions 7430/751,7958/6595 is 2/4952845
Least Common Multiple of 751,6595 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 751,6595 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(751,6595) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(751,6595) x common factors =1 x 1 = 1
LCM(751,6595) = ( 751 × 6595 ) / 1
LCM(751,6595) = 4952845 / 1
LCM(751,6595) = 4952845
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FAQs on GCF of Fractions of 7430/751, 7958/6595
1. What is the HCF of 7430,7958?
The HCF of 7430,7958 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 7430/751, 7958/6595?
Answer: GCF of Numerators as per given numbers 7430/751, 7958/6595 is
GCF of Numerators i.e. for 7430,7958 is 2
LCM of denominators i.e. for 751,6595 is 4952845.
Thus, GCF of Fractions is 2/4952845.Finally, GCF of Fractions for 7430/751, 7958/6595 is 2/4952845.