GCF of 5668/816, 1780/3998
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5668/816, 1780/3998 i.e 4/1631184 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5668/816, 1780/3998.
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 5668/816,1780/3998?
Given fractions are 5668/816,1780/3998
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 5668/816,1780/3998, numerators are 5668,1780
Denominators are 816,3998
The GCF of 5668,1780 is 4 .
LCM of 816,3998 is 1631184.
The greatest common factor of 5668/816,1780/3998 = [GCF of 5668,1780]/[LCM of 816,3998]= 4/1631184
Therefore, the GCF of 5668/816,1780/3998 is 4/1631184.
To find the highest common factor of 5668,1780, we have to find the factors of both numbers and list the highest common factor.
The factors of 5668 are 1, 2, 4, 13, 26, 52, 109, 218, 436, 1417, 2834, 5668
The factors of 1780 are 1, 2, 4, 5, 10, 20, 89, 178, 356, 445, 890, 1780
The HCF of 5668,1780 is 4.
Lets's calculate GCF of 5668,1780
| 2 | 5668, 1780 |
| 2 | 2834, 890 |
| 1417, 445 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 5668,1780 By Matching Biggest Common Factor Method
Now, list down the factors of 5668
:1,2,4,13,26,52,109,218,436,1417,2834,5668
Now, list down the factors of 1780
:1,2,4,5,10,20,89,178,356,445,890,1780
Greatest Common Factor
We found the factors 5668,1780 . The biggest common factor number is the GCF number.
So the greatest common factor 5668,1780 is 4.
Lets's calculate LCM of 816,3998
| 2 | 816, 3998 |
| 408, 1999 |
∴ So the LCM of the given numbers is 2 x 408 x 1999 = 1631184
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1631184
Therefore, the GCF of Fractions 5668/816,1780/3998 is 4/1631184
Least Common Multiple of 816,3998 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 816,3998 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(816,3998) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(816,3998) x common factors =2 x 1 = 2
LCM(816,3998) = ( 816 × 3998 ) / 2
LCM(816,3998) = 3262368 / 2
LCM(816,3998) = 1631184
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FAQs on GCF of Fractions of 5668/816, 1780/3998
1. What is the HCF of 5668,1780?
The HCF of 5668,1780 is 4
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 5668/816, 1780/3998?
Answer: GCF of Numerators as per given numbers 5668/816, 1780/3998 is
GCF of Numerators i.e. for 5668,1780 is 4
LCM of denominators i.e. for 816,3998 is 1631184.
Thus, GCF of Fractions is 4/1631184.Finally, GCF of Fractions for 5668/816, 1780/3998 is 4/1631184.