GCF of 7138/620, 7582/9124
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7138/620, 7582/9124 i.e 2/1414220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7138/620, 7582/9124.
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 7138/620,7582/9124?
Given fractions are 7138/620,7582/9124
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 7138/620,7582/9124, numerators are 7138,7582
Denominators are 620,9124
The GCF of 7138,7582 is 2 .
LCM of 620,9124 is 1414220.
The greatest common factor of 7138/620,7582/9124 = [GCF of 7138,7582]/[LCM of 620,9124]= 2/1414220
Therefore, the GCF of 7138/620,7582/9124 is 2/1414220.
To find the highest common factor of 7138,7582, we have to find the factors of both numbers and list the highest common factor.
The factors of 7138 are 1, 2, 43, 83, 86, 166, 3569, 7138
The factors of 7582 are 1, 2, 17, 34, 223, 446, 3791, 7582
The HCF of 7138,7582 is 2.
Lets's calculate GCF of 7138,7582
| 2 | 7138, 7582 |
| 3569, 3791 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7138,7582 By Matching Biggest Common Factor Method
Now, list down the factors of 7138
:1,2,43,83,86,166,3569,7138
Now, list down the factors of 7582
:1,2,17,34,223,446,3791,7582
Greatest Common Factor
We found the factors 7138,7582 . The biggest common factor number is the GCF number.
So the greatest common factor 7138,7582 is 2.
Lets's calculate LCM of 620,9124
| 2 | 620, 9124 |
| 2 | 310, 4562 |
| 155, 2281 |
∴ So the LCM of the given numbers is 2 x 2 x 155 x 2281 = 1414220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1414220
Therefore, the GCF of Fractions 7138/620,7582/9124 is 2/1414220
Least Common Multiple of 620,9124 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 620,9124 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(620,9124) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(620,9124) x common factors =4 x 1 = 4
LCM(620,9124) = ( 620 × 9124 ) / 4
LCM(620,9124) = 5656880 / 4
LCM(620,9124) = 1414220
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FAQs on GCF of Fractions of 7138/620, 7582/9124
1. What is the HCF of 7138,7582?
The HCF of 7138,7582 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 7138/620, 7582/9124?
Answer: GCF of Numerators as per given numbers 7138/620, 7582/9124 is
GCF of Numerators i.e. for 7138,7582 is 2
LCM of denominators i.e. for 620,9124 is 1414220.
Thus, GCF of Fractions is 2/1414220.Finally, GCF of Fractions for 7138/620, 7582/9124 is 2/1414220.