GCF of 5628/640, 1101/5682
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5628/640, 1101/5682 i.e 3/1818240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5628/640, 1101/5682.
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 5628/640,1101/5682?
Given fractions are 5628/640,1101/5682
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 5628/640,1101/5682, numerators are 5628,1101
Denominators are 640,5682
The GCF of 5628,1101 is 3 .
LCM of 640,5682 is 1818240.
The greatest common factor of 5628/640,1101/5682 = [GCF of 5628,1101]/[LCM of 640,5682]= 3/1818240
Therefore, the GCF of 5628/640,1101/5682 is 3/1818240.
To find the highest common factor of 5628,1101, 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 1101 are 1, 3, 367, 1101
The HCF of 5628,1101 is 3.
Lets's calculate GCF of 5628,1101
| 3 | 5628, 1101 |
| 1876, 367 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5628,1101 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 1101
:1,3,367,1101
Greatest Common Factor
We found the factors 5628,1101 . The biggest common factor number is the GCF number.
So the greatest common factor 5628,1101 is 3.
Lets's calculate LCM of 640,5682
| 2 | 640, 5682 |
| 320, 2841 |
∴ So the LCM of the given numbers is 2 x 320 x 2841 = 1818240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1818240
Therefore, the GCF of Fractions 5628/640,1101/5682 is 3/1818240
Least Common Multiple of 640,5682 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 640,5682 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(640,5682) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(640,5682) x common factors =2 x 1 = 2
LCM(640,5682) = ( 640 × 5682 ) / 2
LCM(640,5682) = 3636480 / 2
LCM(640,5682) = 1818240
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FAQs on GCF of Fractions of 5628/640, 1101/5682
1. What is the HCF of 5628,1101?
The HCF of 5628,1101 is 3
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 5628/640, 1101/5682?
Answer: GCF of Numerators as per given numbers 5628/640, 1101/5682 is
GCF of Numerators i.e. for 5628,1101 is 3
LCM of denominators i.e. for 640,5682 is 1818240.
Thus, GCF of Fractions is 3/1818240.Finally, GCF of Fractions for 5628/640, 1101/5682 is 3/1818240.