GCF of 992/156, 302/242
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 992/156, 302/242 i.e 2/18876 easily. The following is the detailed procedure to determine the greatest common factor of fractions 992/156, 302/242.
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 992/156,302/242?
Given fractions are 992/156,302/242
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 992/156,302/242, numerators are 992,302
Denominators are 156,242
The GCF of 992,302 is 2 .
LCM of 156,242 is 18876.
The greatest common factor of 992/156,302/242 = [GCF of 992,302]/[LCM of 156,242]= 2/18876
Therefore, the GCF of 992/156,302/242 is 2/18876.
To find the highest common factor of 992,302, we have to find the factors of both numbers and list the highest common factor.
The factors of 992 are 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
The factors of 302 are 1, 2, 151, 302
The HCF of 992,302 is 2.
Lets's calculate GCF of 992,302
| 2 | 992, 302 |
| 496, 151 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 992,302 By Matching Biggest Common Factor Method
Now, list down the factors of 992
:1,2,4,8,16,31,32,62,124,248,496,992
Now, list down the factors of 302
:1,2,151,302
Greatest Common Factor
We found the factors 992,302 . The biggest common factor number is the GCF number.
So the greatest common factor 992,302 is 2.
Lets's calculate LCM of 156,242
| 2 | 156, 242 |
| 78, 121 |
∴ So the LCM of the given numbers is 2 x 78 x 121 = 18876
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/18876
Therefore, the GCF of Fractions 992/156,302/242 is 2/18876
Least Common Multiple of 156,242 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 156,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(156,242) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(156,242) x common factors =2 x 1 = 2
LCM(156,242) = ( 156 × 242 ) / 2
LCM(156,242) = 37752 / 2
LCM(156,242) = 18876
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FAQs on GCF of Fractions of 992/156, 302/242
1. What is the HCF of 992,302?
The HCF of 992,302 is 2
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 992/156, 302/242?
Answer: GCF of Numerators as per given numbers 992/156, 302/242 is
GCF of Numerators i.e. for 992,302 is 2
LCM of denominators i.e. for 156,242 is 18876.
Thus, GCF of Fractions is 2/18876.Finally, GCF of Fractions for 992/156, 302/242 is 2/18876.