GCF of 7822/365, 2057/7575
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7822/365, 2057/7575 i.e 1/552975 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7822/365, 2057/7575.
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 7822/365,2057/7575?
Given fractions are 7822/365,2057/7575
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 7822/365,2057/7575, numerators are 7822,2057
Denominators are 365,7575
The GCF of 7822,2057 is 1 .
LCM of 365,7575 is 552975.
The greatest common factor of 7822/365,2057/7575 = [GCF of 7822,2057]/[LCM of 365,7575]= 1/552975
Therefore, the GCF of 7822/365,2057/7575 is 1/552975.
To find the highest common factor of 7822,2057, we have to find the factors of both numbers and list the highest common factor.
The factors of 7822 are 1, 2, 3911, 7822
The factors of 2057 are 1, 11, 17, 121, 187, 2057
The HCF of 7822,2057 is 1.
Lets's calculate GCF of 7822,2057
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7822,2057 By Matching Biggest Common Factor Method
Now, list down the factors of 7822
:1,2,3911,7822
Now, list down the factors of 2057
:1,11,17,121,187,2057
Greatest Common Factor
We found the factors 7822,2057 . The biggest common factor number is the GCF number.
So the greatest common factor 7822,2057 is 1.
Lets's calculate LCM of 365,7575
| 5 | 365, 7575 |
| 73, 1515 |
∴ So the LCM of the given numbers is 5 x 73 x 1515 = 552975
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/552975
Therefore, the GCF of Fractions 7822/365,2057/7575 is 1/552975
Least Common Multiple of 365,7575 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 365,7575 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(365,7575) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(365,7575) x common factors =5 x 1 = 5
LCM(365,7575) = ( 365 × 7575 ) / 5
LCM(365,7575) = 2764875 / 5
LCM(365,7575) = 552975
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FAQs on GCF of Fractions of 7822/365, 2057/7575
1. What is the HCF of 7822,2057?
The HCF of 7822,2057 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 7822/365, 2057/7575?
Answer: GCF of Numerators as per given numbers 7822/365, 2057/7575 is
GCF of Numerators i.e. for 7822,2057 is 1
LCM of denominators i.e. for 365,7575 is 552975.
Thus, GCF of Fractions is 1/552975.Finally, GCF of Fractions for 7822/365, 2057/7575 is 1/552975.