GCF of 5628/660, 8671/3848
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5628/660, 8671/3848 i.e 1/634920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5628/660, 8671/3848.
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 5628/660,8671/3848?
Given fractions are 5628/660,8671/3848
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 5628/660,8671/3848, numerators are 5628,8671
Denominators are 660,3848
The GCF of 5628,8671 is 1 .
LCM of 660,3848 is 634920.
The greatest common factor of 5628/660,8671/3848 = [GCF of 5628,8671]/[LCM of 660,3848]= 1/634920
Therefore, the GCF of 5628/660,8671/3848 is 1/634920.
To find the highest common factor of 5628,8671, we have to find the factors of both numbers and list the highest common factor.
The factors of 5628 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 67, 84, 134, 201, 268, 402, 469, 804, 938, 1407, 1876, 2814, 5628
The factors of 8671 are 1, 13, 23, 29, 299, 377, 667, 8671
The HCF of 5628,8671 is 1.
Lets's calculate GCF of 5628,8671
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5628,8671 By Matching Biggest Common Factor Method
Now, list down the factors of 5628
:1,2,3,4,6,7,12,14,21,28,42,67,84,134,201,268,402,469,804,938,1407,1876,2814,5628
Now, list down the factors of 8671
:1,13,23,29,299,377,667,8671
Greatest Common Factor
We found the factors 5628,8671 . The biggest common factor number is the GCF number.
So the greatest common factor 5628,8671 is 1.
Lets's calculate LCM of 660,3848
| 2 | 660, 3848 |
| 2 | 330, 1924 |
| 165, 962 |
∴ So the LCM of the given numbers is 2 x 2 x 165 x 962 = 634920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/634920
Therefore, the GCF of Fractions 5628/660,8671/3848 is 1/634920
Least Common Multiple of 660,3848 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 660,3848 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(660,3848) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(660,3848) x common factors =4 x 1 = 4
LCM(660,3848) = ( 660 × 3848 ) / 4
LCM(660,3848) = 2539680 / 4
LCM(660,3848) = 634920
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FAQs on GCF of Fractions of 5628/660, 8671/3848
1. What is the HCF of 5628,8671?
The HCF of 5628,8671 is 1
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 5628/660, 8671/3848?
Answer: GCF of Numerators as per given numbers 5628/660, 8671/3848 is
GCF of Numerators i.e. for 5628,8671 is 1
LCM of denominators i.e. for 660,3848 is 634920.
Thus, GCF of Fractions is 1/634920.Finally, GCF of Fractions for 5628/660, 8671/3848 is 1/634920.