GCF of 2976/182, 4061/1084
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2976/182, 4061/1084 i.e 31/98644 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2976/182, 4061/1084.
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 2976/182,4061/1084?
Given fractions are 2976/182,4061/1084
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 2976/182,4061/1084, numerators are 2976,4061
Denominators are 182,1084
The GCF of 2976,4061 is 31 .
LCM of 182,1084 is 98644.
The greatest common factor of 2976/182,4061/1084 = [GCF of 2976,4061]/[LCM of 182,1084]= 31/98644
Therefore, the GCF of 2976/182,4061/1084 is 31/98644.
To find the highest common factor of 2976,4061, we have to find the factors of both numbers and list the highest common factor.
The factors of 2976 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 32, 48, 62, 93, 96, 124, 186, 248, 372, 496, 744, 992, 1488, 2976
The factors of 4061 are 1, 31, 131, 4061
The HCF of 2976,4061 is 31.
Lets's calculate GCF of 2976,4061
| 31 | 2976, 4061 |
| 96, 131 |
∴ So the GCF of the given numbers is 31 = 31
Greatest Common Factor of 2976,4061 By Matching Biggest Common Factor Method
Now, list down the factors of 2976
:1,2,3,4,6,8,12,16,24,31,32,48,62,93,96,124,186,248,372,496,744,992,1488,2976
Now, list down the factors of 4061
:1,31,131,4061
Greatest Common Factor
We found the factors 2976,4061 . The biggest common factor number is the GCF number.
So the greatest common factor 2976,4061 is 31.
Lets's calculate LCM of 182,1084
| 2 | 182, 1084 |
| 91, 542 |
∴ So the LCM of the given numbers is 2 x 91 x 542 = 98644
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/98644
Therefore, the GCF of Fractions 2976/182,4061/1084 is 31/98644
Least Common Multiple of 182,1084 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 182,1084 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(182,1084) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(182,1084) x common factors =2 x 1 = 2
LCM(182,1084) = ( 182 × 1084 ) / 2
LCM(182,1084) = 197288 / 2
LCM(182,1084) = 98644
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FAQs on GCF of Fractions of 2976/182, 4061/1084
1. What is the HCF of 2976,4061?
The HCF of 2976,4061 is 31
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 2976/182, 4061/1084?
Answer: GCF of Numerators as per given numbers 2976/182, 4061/1084 is
GCF of Numerators i.e. for 2976,4061 is 31
LCM of denominators i.e. for 182,1084 is 98644.
Thus, GCF of Fractions is 31/98644.Finally, GCF of Fractions for 2976/182, 4061/1084 is 31/98644.