GCF of 7638/743, 7030/815
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7638/743, 7030/815 i.e 38/605545 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7638/743, 7030/815.
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 7638/743,7030/815?
Given fractions are 7638/743,7030/815
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 7638/743,7030/815, numerators are 7638,7030
Denominators are 743,815
The GCF of 7638,7030 is 38 .
LCM of 743,815 is 605545.
The greatest common factor of 7638/743,7030/815 = [GCF of 7638,7030]/[LCM of 743,815]= 38/605545
Therefore, the GCF of 7638/743,7030/815 is 38/605545.
To find the highest common factor of 7638,7030, we have to find the factors of both numbers and list the highest common factor.
The factors of 7638 are 1, 2, 3, 6, 19, 38, 57, 67, 114, 134, 201, 402, 1273, 2546, 3819, 7638
The factors of 7030 are 1, 2, 5, 10, 19, 37, 38, 74, 95, 185, 190, 370, 703, 1406, 3515, 7030
The HCF of 7638,7030 is 38.
Lets's calculate GCF of 7638,7030
| 2 | 7638, 7030 |
| 19 | 3819, 3515 |
| 201, 185 |
∴ So the GCF of the given numbers is 2 x 19 = 38
Greatest Common Factor of 7638,7030 By Matching Biggest Common Factor Method
Now, list down the factors of 7638
:1,2,3,6,19,38,57,67,114,134,201,402,1273,2546,3819,7638
Now, list down the factors of 7030
:1,2,5,10,19,37,38,74,95,185,190,370,703,1406,3515,7030
Greatest Common Factor
We found the factors 7638,7030 . The biggest common factor number is the GCF number.
So the greatest common factor 7638,7030 is 38.
Lets's calculate LCM of 743,815
Given numbers has no common factors except 1. So, there LCM is their product i.e 605545
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 38/605545
Therefore, the GCF of Fractions 7638/743,7030/815 is 38/605545
Least Common Multiple of 743,815 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 743,815 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(743,815) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(743,815) x common factors =1 x 1 = 1
LCM(743,815) = ( 743 × 815 ) / 1
LCM(743,815) = 605545 / 1
LCM(743,815) = 605545
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FAQs on GCF of Fractions of 7638/743, 7030/815
1. What is the HCF of 7638,7030?
The HCF of 7638,7030 is 38
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 7638/743, 7030/815?
Answer: GCF of Numerators as per given numbers 7638/743, 7030/815 is
GCF of Numerators i.e. for 7638,7030 is 38
LCM of denominators i.e. for 743,815 is 605545.
Thus, GCF of Fractions is 38/605545.Finally, GCF of Fractions for 7638/743, 7030/815 is 38/605545.