GCF of 7882/497, 7659/379
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7882/497, 7659/379 i.e 1/188363 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7882/497, 7659/379.
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 7882/497,7659/379?
Given fractions are 7882/497,7659/379
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 7882/497,7659/379, numerators are 7882,7659
Denominators are 497,379
The GCF of 7882,7659 is 1 .
LCM of 497,379 is 188363.
The greatest common factor of 7882/497,7659/379 = [GCF of 7882,7659]/[LCM of 497,379]= 1/188363
Therefore, the GCF of 7882/497,7659/379 is 1/188363.
To find the highest common factor of 7882,7659, we have to find the factors of both numbers and list the highest common factor.
The factors of 7882 are 1, 2, 7, 14, 563, 1126, 3941, 7882
The factors of 7659 are 1, 3, 9, 23, 37, 69, 111, 207, 333, 851, 2553, 7659
The HCF of 7882,7659 is 1.
Lets's calculate GCF of 7882,7659
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7882,7659 By Matching Biggest Common Factor Method
Now, list down the factors of 7882
:1,2,7,14,563,1126,3941,7882
Now, list down the factors of 7659
:1,3,9,23,37,69,111,207,333,851,2553,7659
Greatest Common Factor
We found the factors 7882,7659 . The biggest common factor number is the GCF number.
So the greatest common factor 7882,7659 is 1.
Lets's calculate LCM of 497,379
Given numbers has no common factors except 1. So, there LCM is their product i.e 188363
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/188363
Therefore, the GCF of Fractions 7882/497,7659/379 is 1/188363
Least Common Multiple of 497,379 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 497,379 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(497,379) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(497,379) x common factors =1 x 1 = 1
LCM(497,379) = ( 497 × 379 ) / 1
LCM(497,379) = 188363 / 1
LCM(497,379) = 188363
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FAQs on GCF of Fractions of 7882/497, 7659/379
1. What is the HCF of 7882,7659?
The HCF of 7882,7659 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 7882/497, 7659/379?
Answer: GCF of Numerators as per given numbers 7882/497, 7659/379 is
GCF of Numerators i.e. for 7882,7659 is 1
LCM of denominators i.e. for 497,379 is 188363.
Thus, GCF of Fractions is 1/188363.Finally, GCF of Fractions for 7882/497, 7659/379 is 1/188363.