GCF of 5324/989, 7977/2576
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5324/989, 7977/2576 i.e 1/110768 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5324/989, 7977/2576.
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 5324/989,7977/2576?
Given fractions are 5324/989,7977/2576
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 5324/989,7977/2576, numerators are 5324,7977
Denominators are 989,2576
The GCF of 5324,7977 is 1 .
LCM of 989,2576 is 110768.
The greatest common factor of 5324/989,7977/2576 = [GCF of 5324,7977]/[LCM of 989,2576]= 1/110768
Therefore, the GCF of 5324/989,7977/2576 is 1/110768.
To find the highest common factor of 5324,7977, we have to find the factors of both numbers and list the highest common factor.
The factors of 5324 are 1, 2, 4, 11, 22, 44, 121, 242, 484, 1331, 2662, 5324
The factors of 7977 are 1, 3, 2659, 7977
The HCF of 5324,7977 is 1.
Lets's calculate GCF of 5324,7977
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5324,7977 By Matching Biggest Common Factor Method
Now, list down the factors of 5324
:1,2,4,11,22,44,121,242,484,1331,2662,5324
Now, list down the factors of 7977
:1,3,2659,7977
Greatest Common Factor
We found the factors 5324,7977 . The biggest common factor number is the GCF number.
So the greatest common factor 5324,7977 is 1.
Lets's calculate LCM of 989,2576
| 23 | 989, 2576 |
| 43, 112 |
∴ So the LCM of the given numbers is 23 x 43 x 112 = 110768
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/110768
Therefore, the GCF of Fractions 5324/989,7977/2576 is 1/110768
Least Common Multiple of 989,2576 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 989,2576 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(989,2576) = 23
common factors(in case of two or more numbers have common factors) = 1
GCF(989,2576) x common factors =23 x 1 = 23
LCM(989,2576) = ( 989 × 2576 ) / 23
LCM(989,2576) = 2547664 / 23
LCM(989,2576) = 110768
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FAQs on GCF of Fractions of 5324/989, 7977/2576
1. What is the HCF of 5324,7977?
The HCF of 5324,7977 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 5324/989, 7977/2576?
Answer: GCF of Numerators as per given numbers 5324/989, 7977/2576 is
GCF of Numerators i.e. for 5324,7977 is 1
LCM of denominators i.e. for 989,2576 is 110768.
Thus, GCF of Fractions is 1/110768.Finally, GCF of Fractions for 5324/989, 7977/2576 is 1/110768.