GCF of 7495/417, 7623/9831
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7495/417, 7623/9831 i.e 1/1366509 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7495/417, 7623/9831.
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 7495/417,7623/9831?
Given fractions are 7495/417,7623/9831
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 7495/417,7623/9831, numerators are 7495,7623
Denominators are 417,9831
The GCF of 7495,7623 is 1 .
LCM of 417,9831 is 1366509.
The greatest common factor of 7495/417,7623/9831 = [GCF of 7495,7623]/[LCM of 417,9831]= 1/1366509
Therefore, the GCF of 7495/417,7623/9831 is 1/1366509.
To find the highest common factor of 7495,7623, we have to find the factors of both numbers and list the highest common factor.
The factors of 7495 are 1, 5, 1499, 7495
The factors of 7623 are 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 121, 231, 363, 693, 847, 1089, 2541, 7623
The HCF of 7495,7623 is 1.
Lets's calculate GCF of 7495,7623
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7495,7623 By Matching Biggest Common Factor Method
Now, list down the factors of 7495
:1,5,1499,7495
Now, list down the factors of 7623
:1,3,7,9,11,21,33,63,77,99,121,231,363,693,847,1089,2541,7623
Greatest Common Factor
We found the factors 7495,7623 . The biggest common factor number is the GCF number.
So the greatest common factor 7495,7623 is 1.
Lets's calculate LCM of 417,9831
| 3 | 417, 9831 |
| 139, 3277 |
∴ So the LCM of the given numbers is 3 x 139 x 3277 = 1366509
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1366509
Therefore, the GCF of Fractions 7495/417,7623/9831 is 1/1366509
Least Common Multiple of 417,9831 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 417,9831 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(417,9831) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(417,9831) x common factors =3 x 1 = 3
LCM(417,9831) = ( 417 × 9831 ) / 3
LCM(417,9831) = 4099527 / 3
LCM(417,9831) = 1366509
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FAQs on GCF of Fractions of 7495/417, 7623/9831
1. What is the HCF of 7495,7623?
The HCF of 7495,7623 is 1
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 7495/417, 7623/9831?
Answer: GCF of Numerators as per given numbers 7495/417, 7623/9831 is
GCF of Numerators i.e. for 7495,7623 is 1
LCM of denominators i.e. for 417,9831 is 1366509.
Thus, GCF of Fractions is 1/1366509.Finally, GCF of Fractions for 7495/417, 7623/9831 is 1/1366509.