GCF of 4725/546, 1648/7494
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4725/546, 1648/7494 i.e 1/681954 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4725/546, 1648/7494.
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 4725/546,1648/7494?
Given fractions are 4725/546,1648/7494
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 4725/546,1648/7494, numerators are 4725,1648
Denominators are 546,7494
The GCF of 4725,1648 is 1 .
LCM of 546,7494 is 681954.
The greatest common factor of 4725/546,1648/7494 = [GCF of 4725,1648]/[LCM of 546,7494]= 1/681954
Therefore, the GCF of 4725/546,1648/7494 is 1/681954.
To find the highest common factor of 4725,1648, we have to find the factors of both numbers and list the highest common factor.
The factors of 4725 are 1, 3, 5, 7, 9, 15, 21, 25, 27, 35, 45, 63, 75, 105, 135, 175, 189, 225, 315, 525, 675, 945, 1575, 4725
The factors of 1648 are 1, 2, 4, 8, 16, 103, 206, 412, 824, 1648
The HCF of 4725,1648 is 1.
Lets's calculate GCF of 4725,1648
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4725,1648 By Matching Biggest Common Factor Method
Now, list down the factors of 4725
:1,3,5,7,9,15,21,25,27,35,45,63,75,105,135,175,189,225,315,525,675,945,1575,4725
Now, list down the factors of 1648
:1,2,4,8,16,103,206,412,824,1648
Greatest Common Factor
We found the factors 4725,1648 . The biggest common factor number is the GCF number.
So the greatest common factor 4725,1648 is 1.
Lets's calculate LCM of 546,7494
| 2 | 546, 7494 |
| 3 | 273, 3747 |
| 91, 1249 |
∴ So the LCM of the given numbers is 2 x 3 x 91 x 1249 = 681954
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/681954
Therefore, the GCF of Fractions 4725/546,1648/7494 is 1/681954
Least Common Multiple of 546,7494 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 546,7494 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(546,7494) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(546,7494) x common factors =6 x 1 = 6
LCM(546,7494) = ( 546 × 7494 ) / 6
LCM(546,7494) = 4091724 / 6
LCM(546,7494) = 681954
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FAQs on GCF of Fractions of 4725/546, 1648/7494
1. What is the HCF of 4725,1648?
The HCF of 4725,1648 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 4725/546, 1648/7494?
Answer: GCF of Numerators as per given numbers 4725/546, 1648/7494 is
GCF of Numerators i.e. for 4725,1648 is 1
LCM of denominators i.e. for 546,7494 is 681954.
Thus, GCF of Fractions is 1/681954.Finally, GCF of Fractions for 4725/546, 1648/7494 is 1/681954.