GCF of 1755/648, 3150/4754
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1755/648, 3150/4754 i.e 45/1540296 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1755/648, 3150/4754.
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 1755/648,3150/4754?
Given fractions are 1755/648,3150/4754
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 1755/648,3150/4754, numerators are 1755,3150
Denominators are 648,4754
The GCF of 1755,3150 is 45 .
LCM of 648,4754 is 1540296.
The greatest common factor of 1755/648,3150/4754 = [GCF of 1755,3150]/[LCM of 648,4754]= 45/1540296
Therefore, the GCF of 1755/648,3150/4754 is 45/1540296.
To find the highest common factor of 1755,3150, we have to find the factors of both numbers and list the highest common factor.
The factors of 1755 are 1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 117, 135, 195, 351, 585, 1755
The factors of 3150 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 30, 35, 42, 45, 50, 63, 70, 75, 90, 105, 126, 150, 175, 210, 225, 315, 350, 450, 525, 630, 1050, 1575, 3150
The HCF of 1755,3150 is 45.
Lets's calculate GCF of 1755,3150
| 3 | 1755, 3150 |
| 3 | 585, 1050 |
| 5 | 195, 350 |
| 39, 70 |
∴ So the GCF of the given numbers is 3 x 3 x 5 = 45
Greatest Common Factor of 1755,3150 By Matching Biggest Common Factor Method
Now, list down the factors of 1755
:1,3,5,9,13,15,27,39,45,65,117,135,195,351,585,1755
Now, list down the factors of 3150
:1,2,3,5,6,7,9,10,14,15,18,21,25,30,35,42,45,50,63,70,75,90,105,126,150,175,210,225,315,350,450,525,630,1050,1575,3150
Greatest Common Factor
We found the factors 1755,3150 . The biggest common factor number is the GCF number.
So the greatest common factor 1755,3150 is 45.
Lets's calculate LCM of 648,4754
| 2 | 648, 4754 |
| 324, 2377 |
∴ So the LCM of the given numbers is 2 x 324 x 2377 = 1540296
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 45/1540296
Therefore, the GCF of Fractions 1755/648,3150/4754 is 45/1540296
Least Common Multiple of 648,4754 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 648,4754 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(648,4754) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(648,4754) x common factors =2 x 1 = 2
LCM(648,4754) = ( 648 × 4754 ) / 2
LCM(648,4754) = 3080592 / 2
LCM(648,4754) = 1540296
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FAQs on GCF of Fractions of 1755/648, 3150/4754
1. What is the HCF of 1755,3150?
The HCF of 1755,3150 is 45
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 1755/648, 3150/4754?
Answer: GCF of Numerators as per given numbers 1755/648, 3150/4754 is
GCF of Numerators i.e. for 1755,3150 is 45
LCM of denominators i.e. for 648,4754 is 1540296.
Thus, GCF of Fractions is 45/1540296.Finally, GCF of Fractions for 1755/648, 3150/4754 is 45/1540296.