GCF of 1045/548, 3755/1598
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1045/548, 3755/1598 i.e 5/437852 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1045/548, 3755/1598.
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 1045/548,3755/1598?
Given fractions are 1045/548,3755/1598
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 1045/548,3755/1598, numerators are 1045,3755
Denominators are 548,1598
The GCF of 1045,3755 is 5 .
LCM of 548,1598 is 437852.
The greatest common factor of 1045/548,3755/1598 = [GCF of 1045,3755]/[LCM of 548,1598]= 5/437852
Therefore, the GCF of 1045/548,3755/1598 is 5/437852.
To find the highest common factor of 1045,3755, we have to find the factors of both numbers and list the highest common factor.
The factors of 1045 are 1, 5, 11, 19, 55, 95, 209, 1045
The factors of 3755 are 1, 5, 751, 3755
The HCF of 1045,3755 is 5.
Lets's calculate GCF of 1045,3755
| 5 | 1045, 3755 |
| 209, 751 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 1045,3755 By Matching Biggest Common Factor Method
Now, list down the factors of 1045
:1,5,11,19,55,95,209,1045
Now, list down the factors of 3755
:1,5,751,3755
Greatest Common Factor
We found the factors 1045,3755 . The biggest common factor number is the GCF number.
So the greatest common factor 1045,3755 is 5.
Lets's calculate LCM of 548,1598
| 2 | 548, 1598 |
| 274, 799 |
∴ So the LCM of the given numbers is 2 x 274 x 799 = 437852
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/437852
Therefore, the GCF of Fractions 1045/548,3755/1598 is 5/437852
Least Common Multiple of 548,1598 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 548,1598 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(548,1598) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(548,1598) x common factors =2 x 1 = 2
LCM(548,1598) = ( 548 × 1598 ) / 2
LCM(548,1598) = 875704 / 2
LCM(548,1598) = 437852
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FAQs on GCF of Fractions of 1045/548, 3755/1598
1. What is the HCF of 1045,3755?
The HCF of 1045,3755 is 5
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 1045/548, 3755/1598?
Answer: GCF of Numerators as per given numbers 1045/548, 3755/1598 is
GCF of Numerators i.e. for 1045,3755 is 5
LCM of denominators i.e. for 548,1598 is 437852.
Thus, GCF of Fractions is 5/437852.Finally, GCF of Fractions for 1045/548, 3755/1598 is 5/437852.