GCF of 9968/996, 5267/7023
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9968/996, 5267/7023 i.e 1/2331636 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9968/996, 5267/7023.
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 9968/996,5267/7023?
Given fractions are 9968/996,5267/7023
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 9968/996,5267/7023, numerators are 9968,5267
Denominators are 996,7023
The GCF of 9968,5267 is 1 .
LCM of 996,7023 is 2331636.
The greatest common factor of 9968/996,5267/7023 = [GCF of 9968,5267]/[LCM of 996,7023]= 1/2331636
Therefore, the GCF of 9968/996,5267/7023 is 1/2331636.
To find the highest common factor of 9968,5267, we have to find the factors of both numbers and list the highest common factor.
The factors of 9968 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 89, 112, 178, 356, 623, 712, 1246, 1424, 2492, 4984, 9968
The factors of 5267 are 1, 23, 229, 5267
The HCF of 9968,5267 is 1.
Lets's calculate GCF of 9968,5267
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9968,5267 By Matching Biggest Common Factor Method
Now, list down the factors of 9968
:1,2,4,7,8,14,16,28,56,89,112,178,356,623,712,1246,1424,2492,4984,9968
Now, list down the factors of 5267
:1,23,229,5267
Greatest Common Factor
We found the factors 9968,5267 . The biggest common factor number is the GCF number.
So the greatest common factor 9968,5267 is 1.
Lets's calculate LCM of 996,7023
| 3 | 996, 7023 |
| 332, 2341 |
∴ So the LCM of the given numbers is 3 x 332 x 2341 = 2331636
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2331636
Therefore, the GCF of Fractions 9968/996,5267/7023 is 1/2331636
Least Common Multiple of 996,7023 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 996,7023 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(996,7023) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(996,7023) x common factors =3 x 1 = 3
LCM(996,7023) = ( 996 × 7023 ) / 3
LCM(996,7023) = 6994908 / 3
LCM(996,7023) = 2331636
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FAQs on GCF of Fractions of 9968/996, 5267/7023
1. What is the HCF of 9968,5267?
The HCF of 9968,5267 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 9968/996, 5267/7023?
Answer: GCF of Numerators as per given numbers 9968/996, 5267/7023 is
GCF of Numerators i.e. for 9968,5267 is 1
LCM of denominators i.e. for 996,7023 is 2331636.
Thus, GCF of Fractions is 1/2331636.Finally, GCF of Fractions for 9968/996, 5267/7023 is 1/2331636.