GCF of 1628/271, 8380/5318
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1628/271, 8380/5318 i.e 4/1441178 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1628/271, 8380/5318.
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 1628/271,8380/5318?
Given fractions are 1628/271,8380/5318
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 1628/271,8380/5318, numerators are 1628,8380
Denominators are 271,5318
The GCF of 1628,8380 is 4 .
LCM of 271,5318 is 1441178.
The greatest common factor of 1628/271,8380/5318 = [GCF of 1628,8380]/[LCM of 271,5318]= 4/1441178
Therefore, the GCF of 1628/271,8380/5318 is 4/1441178.
To find the highest common factor of 1628,8380, we have to find the factors of both numbers and list the highest common factor.
The factors of 1628 are 1, 2, 4, 11, 22, 37, 44, 74, 148, 407, 814, 1628
The factors of 8380 are 1, 2, 4, 5, 10, 20, 419, 838, 1676, 2095, 4190, 8380
The HCF of 1628,8380 is 4.
Lets's calculate GCF of 1628,8380
| 2 | 1628, 8380 |
| 2 | 814, 4190 |
| 407, 2095 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 1628,8380 By Matching Biggest Common Factor Method
Now, list down the factors of 1628
:1,2,4,11,22,37,44,74,148,407,814,1628
Now, list down the factors of 8380
:1,2,4,5,10,20,419,838,1676,2095,4190,8380
Greatest Common Factor
We found the factors 1628,8380 . The biggest common factor number is the GCF number.
So the greatest common factor 1628,8380 is 4.
Lets's calculate LCM of 271,5318
Given numbers has no common factors except 1. So, there LCM is their product i.e 1441178
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1441178
Therefore, the GCF of Fractions 1628/271,8380/5318 is 4/1441178
Least Common Multiple of 271,5318 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 271,5318 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(271,5318) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(271,5318) x common factors =1 x 1 = 1
LCM(271,5318) = ( 271 × 5318 ) / 1
LCM(271,5318) = 1441178 / 1
LCM(271,5318) = 1441178
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FAQs on GCF of Fractions of 1628/271, 8380/5318
1. What is the HCF of 1628,8380?
The HCF of 1628,8380 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 1628/271, 8380/5318?
Answer: GCF of Numerators as per given numbers 1628/271, 8380/5318 is
GCF of Numerators i.e. for 1628,8380 is 4
LCM of denominators i.e. for 271,5318 is 1441178.
Thus, GCF of Fractions is 4/1441178.Finally, GCF of Fractions for 1628/271, 8380/5318 is 4/1441178.