GCF of 996/71, 492/416
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 996/71, 492/416 i.e 12/29536 easily. The following is the detailed procedure to determine the greatest common factor of fractions 996/71, 492/416.
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 996/71,492/416?
Given fractions are 996/71,492/416
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 996/71,492/416, numerators are 996,492
Denominators are 71,416
The GCF of 996,492 is 12 .
LCM of 71,416 is 29536.
The greatest common factor of 996/71,492/416 = [GCF of 996,492]/[LCM of 71,416]= 12/29536
Therefore, the GCF of 996/71,492/416 is 12/29536.
To find the highest common factor of 996,492, we have to find the factors of both numbers and list the highest common factor.
The factors of 996 are 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
The factors of 492 are 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
The HCF of 996,492 is 12.
Lets's calculate GCF of 996,492
| 2 | 996, 492 |
| 2 | 498, 246 |
| 3 | 249, 123 |
| 83, 41 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 996,492 By Matching Biggest Common Factor Method
Now, list down the factors of 996
:1,2,3,4,6,12,83,166,249,332,498,996
Now, list down the factors of 492
:1,2,3,4,6,12,41,82,123,164,246,492
Greatest Common Factor
We found the factors 996,492 . The biggest common factor number is the GCF number.
So the greatest common factor 996,492 is 12.
Lets's calculate LCM of 71,416
Given numbers has no common factors except 1. So, there LCM is their product i.e 29536
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/29536
Therefore, the GCF of Fractions 996/71,492/416 is 12/29536
Least Common Multiple of 71,416 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 71,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,416) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,416) x common factors =1 x 1 = 1
LCM(71,416) = ( 71 × 416 ) / 1
LCM(71,416) = 29536 / 1
LCM(71,416) = 29536
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FAQs on GCF of Fractions of 996/71, 492/416
1. What is the HCF of 996,492?
The HCF of 996,492 is 12
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 996/71, 492/416?
Answer: GCF of Numerators as per given numbers 996/71, 492/416 is
GCF of Numerators i.e. for 996,492 is 12
LCM of denominators i.e. for 71,416 is 29536.
Thus, GCF of Fractions is 12/29536.Finally, GCF of Fractions for 996/71, 492/416 is 12/29536.