GCF of 8901/420, 7979/7368
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8901/420, 7979/7368 i.e 1/257880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8901/420, 7979/7368.
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 8901/420,7979/7368?
Given fractions are 8901/420,7979/7368
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 8901/420,7979/7368, numerators are 8901,7979
Denominators are 420,7368
The GCF of 8901,7979 is 1 .
LCM of 420,7368 is 257880.
The greatest common factor of 8901/420,7979/7368 = [GCF of 8901,7979]/[LCM of 420,7368]= 1/257880
Therefore, the GCF of 8901/420,7979/7368 is 1/257880.
To find the highest common factor of 8901,7979, we have to find the factors of both numbers and list the highest common factor.
The factors of 8901 are 1, 3, 9, 23, 43, 69, 129, 207, 387, 989, 2967, 8901
The factors of 7979 are 1, 79, 101, 7979
The HCF of 8901,7979 is 1.
Lets's calculate GCF of 8901,7979
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8901,7979 By Matching Biggest Common Factor Method
Now, list down the factors of 8901
:1,3,9,23,43,69,129,207,387,989,2967,8901
Now, list down the factors of 7979
:1,79,101,7979
Greatest Common Factor
We found the factors 8901,7979 . The biggest common factor number is the GCF number.
So the greatest common factor 8901,7979 is 1.
Lets's calculate LCM of 420,7368
| 2 | 420, 7368 |
| 2 | 210, 3684 |
| 3 | 105, 1842 |
| 35, 614 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 35 x 614 = 257880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/257880
Therefore, the GCF of Fractions 8901/420,7979/7368 is 1/257880
Least Common Multiple of 420,7368 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 420,7368 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(420,7368) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(420,7368) x common factors =12 x 1 = 12
LCM(420,7368) = ( 420 × 7368 ) / 12
LCM(420,7368) = 3094560 / 12
LCM(420,7368) = 257880
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FAQs on GCF of Fractions of 8901/420, 7979/7368
1. What is the HCF of 8901,7979?
The HCF of 8901,7979 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 8901/420, 7979/7368?
Answer: GCF of Numerators as per given numbers 8901/420, 7979/7368 is
GCF of Numerators i.e. for 8901,7979 is 1
LCM of denominators i.e. for 420,7368 is 257880.
Thus, GCF of Fractions is 1/257880.Finally, GCF of Fractions for 8901/420, 7979/7368 is 1/257880.