GCF of 5244/973, 5980/9978
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5244/973, 5980/9978 i.e 92/9708594 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5244/973, 5980/9978.
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 5244/973,5980/9978?
Given fractions are 5244/973,5980/9978
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 5244/973,5980/9978, numerators are 5244,5980
Denominators are 973,9978
The GCF of 5244,5980 is 92 .
LCM of 973,9978 is 9708594.
The greatest common factor of 5244/973,5980/9978 = [GCF of 5244,5980]/[LCM of 973,9978]= 92/9708594
Therefore, the GCF of 5244/973,5980/9978 is 92/9708594.
To find the highest common factor of 5244,5980, we have to find the factors of both numbers and list the highest common factor.
The factors of 5244 are 1, 2, 3, 4, 6, 12, 19, 23, 38, 46, 57, 69, 76, 92, 114, 138, 228, 276, 437, 874, 1311, 1748, 2622, 5244
The factors of 5980 are 1, 2, 4, 5, 10, 13, 20, 23, 26, 46, 52, 65, 92, 115, 130, 230, 260, 299, 460, 598, 1196, 1495, 2990, 5980
The HCF of 5244,5980 is 92.
Lets's calculate GCF of 5244,5980
| 2 | 5244, 5980 |
| 2 | 2622, 2990 |
| 23 | 1311, 1495 |
| 57, 65 |
∴ So the GCF of the given numbers is 2 x 2 x 23 = 92
Greatest Common Factor of 5244,5980 By Matching Biggest Common Factor Method
Now, list down the factors of 5244
:1,2,3,4,6,12,19,23,38,46,57,69,76,92,114,138,228,276,437,874,1311,1748,2622,5244
Now, list down the factors of 5980
:1,2,4,5,10,13,20,23,26,46,52,65,92,115,130,230,260,299,460,598,1196,1495,2990,5980
Greatest Common Factor
We found the factors 5244,5980 . The biggest common factor number is the GCF number.
So the greatest common factor 5244,5980 is 92.
Lets's calculate LCM of 973,9978
Given numbers has no common factors except 1. So, there LCM is their product i.e 9708594
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 92/9708594
Therefore, the GCF of Fractions 5244/973,5980/9978 is 92/9708594
Least Common Multiple of 973,9978 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 973,9978 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(973,9978) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(973,9978) x common factors =1 x 1 = 1
LCM(973,9978) = ( 973 × 9978 ) / 1
LCM(973,9978) = 9708594 / 1
LCM(973,9978) = 9708594
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FAQs on GCF of Fractions of 5244/973, 5980/9978
1. What is the HCF of 5244,5980?
The HCF of 5244,5980 is 92
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 5244/973, 5980/9978?
Answer: GCF of Numerators as per given numbers 5244/973, 5980/9978 is
GCF of Numerators i.e. for 5244,5980 is 92
LCM of denominators i.e. for 973,9978 is 9708594.
Thus, GCF of Fractions is 92/9708594.Finally, GCF of Fractions for 5244/973, 5980/9978 is 92/9708594.