GCF of 5788/212, 1982/428
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5788/212, 1982/428 i.e 2/22684 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5788/212, 1982/428.
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 5788/212,1982/428?
Given fractions are 5788/212,1982/428
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 5788/212,1982/428, numerators are 5788,1982
Denominators are 212,428
The GCF of 5788,1982 is 2 .
LCM of 212,428 is 22684.
The greatest common factor of 5788/212,1982/428 = [GCF of 5788,1982]/[LCM of 212,428]= 2/22684
Therefore, the GCF of 5788/212,1982/428 is 2/22684.
To find the highest common factor of 5788,1982, we have to find the factors of both numbers and list the highest common factor.
The factors of 5788 are 1, 2, 4, 1447, 2894, 5788
The factors of 1982 are 1, 2, 991, 1982
The HCF of 5788,1982 is 2.
Lets's calculate GCF of 5788,1982
| 2 | 5788, 1982 |
| 2894, 991 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5788,1982 By Matching Biggest Common Factor Method
Now, list down the factors of 5788
:1,2,4,1447,2894,5788
Now, list down the factors of 1982
:1,2,991,1982
Greatest Common Factor
We found the factors 5788,1982 . The biggest common factor number is the GCF number.
So the greatest common factor 5788,1982 is 2.
Lets's calculate LCM of 212,428
| 2 | 212, 428 |
| 2 | 106, 214 |
| 53, 107 |
∴ So the LCM of the given numbers is 2 x 2 x 53 x 107 = 22684
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/22684
Therefore, the GCF of Fractions 5788/212,1982/428 is 2/22684
Least Common Multiple of 212,428 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 212,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(212,428) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(212,428) x common factors =4 x 1 = 4
LCM(212,428) = ( 212 × 428 ) / 4
LCM(212,428) = 90736 / 4
LCM(212,428) = 22684
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FAQs on GCF of Fractions of 5788/212, 1982/428
1. What is the HCF of 5788,1982?
The HCF of 5788,1982 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 5788/212, 1982/428?
Answer: GCF of Numerators as per given numbers 5788/212, 1982/428 is
GCF of Numerators i.e. for 5788,1982 is 2
LCM of denominators i.e. for 212,428 is 22684.
Thus, GCF of Fractions is 2/22684.Finally, GCF of Fractions for 5788/212, 1982/428 is 2/22684.