GCF of 7642/590, 6538/1060
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7642/590, 6538/1060 i.e 2/62540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7642/590, 6538/1060.
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 7642/590,6538/1060?
Given fractions are 7642/590,6538/1060
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 7642/590,6538/1060, numerators are 7642,6538
Denominators are 590,1060
The GCF of 7642,6538 is 2 .
LCM of 590,1060 is 62540.
The greatest common factor of 7642/590,6538/1060 = [GCF of 7642,6538]/[LCM of 590,1060]= 2/62540
Therefore, the GCF of 7642/590,6538/1060 is 2/62540.
To find the highest common factor of 7642,6538, we have to find the factors of both numbers and list the highest common factor.
The factors of 7642 are 1, 2, 3821, 7642
The factors of 6538 are 1, 2, 7, 14, 467, 934, 3269, 6538
The HCF of 7642,6538 is 2.
Lets's calculate GCF of 7642,6538
| 2 | 7642, 6538 |
| 3821, 3269 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7642,6538 By Matching Biggest Common Factor Method
Now, list down the factors of 7642
:1,2,3821,7642
Now, list down the factors of 6538
:1,2,7,14,467,934,3269,6538
Greatest Common Factor
We found the factors 7642,6538 . The biggest common factor number is the GCF number.
So the greatest common factor 7642,6538 is 2.
Lets's calculate LCM of 590,1060
| 2 | 590, 1060 |
| 5 | 295, 530 |
| 59, 106 |
∴ So the LCM of the given numbers is 2 x 5 x 59 x 106 = 62540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/62540
Therefore, the GCF of Fractions 7642/590,6538/1060 is 2/62540
Least Common Multiple of 590,1060 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 590,1060 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(590,1060) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(590,1060) x common factors =10 x 1 = 10
LCM(590,1060) = ( 590 × 1060 ) / 10
LCM(590,1060) = 625400 / 10
LCM(590,1060) = 62540
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FAQs on GCF of Fractions of 7642/590, 6538/1060
1. What is the HCF of 7642,6538?
The HCF of 7642,6538 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 7642/590, 6538/1060?
Answer: GCF of Numerators as per given numbers 7642/590, 6538/1060 is
GCF of Numerators i.e. for 7642,6538 is 2
LCM of denominators i.e. for 590,1060 is 62540.
Thus, GCF of Fractions is 2/62540.Finally, GCF of Fractions for 7642/590, 6538/1060 is 2/62540.