GCF of 1048/220, 3544/7485
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1048/220, 3544/7485 i.e 8/329340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1048/220, 3544/7485.
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 1048/220,3544/7485?
Given fractions are 1048/220,3544/7485
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 1048/220,3544/7485, numerators are 1048,3544
Denominators are 220,7485
The GCF of 1048,3544 is 8 .
LCM of 220,7485 is 329340.
The greatest common factor of 1048/220,3544/7485 = [GCF of 1048,3544]/[LCM of 220,7485]= 8/329340
Therefore, the GCF of 1048/220,3544/7485 is 8/329340.
To find the highest common factor of 1048,3544, we have to find the factors of both numbers and list the highest common factor.
The factors of 1048 are 1, 2, 4, 8, 131, 262, 524, 1048
The factors of 3544 are 1, 2, 4, 8, 443, 886, 1772, 3544
The HCF of 1048,3544 is 8.
Lets's calculate GCF of 1048,3544
| 2 | 1048, 3544 |
| 2 | 524, 1772 |
| 2 | 262, 886 |
| 131, 443 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 1048,3544 By Matching Biggest Common Factor Method
Now, list down the factors of 1048
:1,2,4,8,131,262,524,1048
Now, list down the factors of 3544
:1,2,4,8,443,886,1772,3544
Greatest Common Factor
We found the factors 1048,3544 . The biggest common factor number is the GCF number.
So the greatest common factor 1048,3544 is 8.
Lets's calculate LCM of 220,7485
| 5 | 220, 7485 |
| 44, 1497 |
∴ So the LCM of the given numbers is 5 x 44 x 1497 = 329340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/329340
Therefore, the GCF of Fractions 1048/220,3544/7485 is 8/329340
Least Common Multiple of 220,7485 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 220,7485 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(220,7485) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(220,7485) x common factors =5 x 1 = 5
LCM(220,7485) = ( 220 × 7485 ) / 5
LCM(220,7485) = 1646700 / 5
LCM(220,7485) = 329340
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FAQs on GCF of Fractions of 1048/220, 3544/7485
1. What is the HCF of 1048,3544?
The HCF of 1048,3544 is 8
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 1048/220, 3544/7485?
Answer: GCF of Numerators as per given numbers 1048/220, 3544/7485 is
GCF of Numerators i.e. for 1048,3544 is 8
LCM of denominators i.e. for 220,7485 is 329340.
Thus, GCF of Fractions is 8/329340.Finally, GCF of Fractions for 1048/220, 3544/7485 is 8/329340.