GCF of 7598/451, 8468/439
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7598/451, 8468/439 i.e 58/197989 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7598/451, 8468/439.
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 7598/451,8468/439?
Given fractions are 7598/451,8468/439
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 7598/451,8468/439, numerators are 7598,8468
Denominators are 451,439
The GCF of 7598,8468 is 58 .
LCM of 451,439 is 197989.
The greatest common factor of 7598/451,8468/439 = [GCF of 7598,8468]/[LCM of 451,439]= 58/197989
Therefore, the GCF of 7598/451,8468/439 is 58/197989.
To find the highest common factor of 7598,8468, we have to find the factors of both numbers and list the highest common factor.
The factors of 7598 are 1, 2, 29, 58, 131, 262, 3799, 7598
The factors of 8468 are 1, 2, 4, 29, 58, 73, 116, 146, 292, 2117, 4234, 8468
The HCF of 7598,8468 is 58.
Lets's calculate GCF of 7598,8468
| 2 | 7598, 8468 |
| 29 | 3799, 4234 |
| 131, 146 |
∴ So the GCF of the given numbers is 2 x 29 = 58
Greatest Common Factor of 7598,8468 By Matching Biggest Common Factor Method
Now, list down the factors of 7598
:1,2,29,58,131,262,3799,7598
Now, list down the factors of 8468
:1,2,4,29,58,73,116,146,292,2117,4234,8468
Greatest Common Factor
We found the factors 7598,8468 . The biggest common factor number is the GCF number.
So the greatest common factor 7598,8468 is 58.
Lets's calculate LCM of 451,439
Given numbers has no common factors except 1. So, there LCM is their product i.e 197989
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 58/197989
Therefore, the GCF of Fractions 7598/451,8468/439 is 58/197989
Least Common Multiple of 451,439 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 451,439 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(451,439) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(451,439) x common factors =1 x 1 = 1
LCM(451,439) = ( 451 × 439 ) / 1
LCM(451,439) = 197989 / 1
LCM(451,439) = 197989
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FAQs on GCF of Fractions of 7598/451, 8468/439
1. What is the HCF of 7598,8468?
The HCF of 7598,8468 is 58
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 7598/451, 8468/439?
Answer: GCF of Numerators as per given numbers 7598/451, 8468/439 is
GCF of Numerators i.e. for 7598,8468 is 58
LCM of denominators i.e. for 451,439 is 197989.
Thus, GCF of Fractions is 58/197989.Finally, GCF of Fractions for 7598/451, 8468/439 is 58/197989.