GCF of 7979/987, 7248/404
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7979/987, 7248/404 i.e 1/398748 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7979/987, 7248/404.
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 7979/987,7248/404?
Given fractions are 7979/987,7248/404
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 7979/987,7248/404, numerators are 7979,7248
Denominators are 987,404
The GCF of 7979,7248 is 1 .
LCM of 987,404 is 398748.
The greatest common factor of 7979/987,7248/404 = [GCF of 7979,7248]/[LCM of 987,404]= 1/398748
Therefore, the GCF of 7979/987,7248/404 is 1/398748.
To find the highest common factor of 7979,7248, we have to find the factors of both numbers and list the highest common factor.
The factors of 7979 are 1, 79, 101, 7979
The factors of 7248 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 151, 302, 453, 604, 906, 1208, 1812, 2416, 3624, 7248
The HCF of 7979,7248 is 1.
Lets's calculate GCF of 7979,7248
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7979,7248 By Matching Biggest Common Factor Method
Now, list down the factors of 7979
:1,79,101,7979
Now, list down the factors of 7248
:1,2,3,4,6,8,12,16,24,48,151,302,453,604,906,1208,1812,2416,3624,7248
Greatest Common Factor
We found the factors 7979,7248 . The biggest common factor number is the GCF number.
So the greatest common factor 7979,7248 is 1.
Lets's calculate LCM of 987,404
Given numbers has no common factors except 1. So, there LCM is their product i.e 398748
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/398748
Therefore, the GCF of Fractions 7979/987,7248/404 is 1/398748
Least Common Multiple of 987,404 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 987,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(987,404) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(987,404) x common factors =1 x 1 = 1
LCM(987,404) = ( 987 × 404 ) / 1
LCM(987,404) = 398748 / 1
LCM(987,404) = 398748
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FAQs on GCF of Fractions of 7979/987, 7248/404
1. What is the HCF of 7979,7248?
The HCF of 7979,7248 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 7979/987, 7248/404?
Answer: GCF of Numerators as per given numbers 7979/987, 7248/404 is
GCF of Numerators i.e. for 7979,7248 is 1
LCM of denominators i.e. for 987,404 is 398748.
Thus, GCF of Fractions is 1/398748.Finally, GCF of Fractions for 7979/987, 7248/404 is 1/398748.