GCF of 647/113, 273/410, 725/126
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 647/113, 273/410, 725/126 i.e 1/2918790 easily. The following is the detailed procedure to determine the greatest common factor of fractions 647/113, 273/410, 725/126.
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 647/113,273/410,725/126?
Given fractions are 647/113,273/410,725/126
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 647/113,273/410,725/126, numerators are 647,273,725
Denominators are 113,410,126
The GCF of 647,273,725 is 1 .
LCM of 113,410,126 is 2918790.
The greatest common factor of 647/113,273/410,725/126 = [GCF of 647,273,725]/[LCM of 113,410,126]= 1/2918790
Therefore, the GCF of 647/113,273/410,725/126 is 1/2918790.
To find the highest common factor of 647,273,725, we have to find the factors of both numbers and list the highest common factor.
The factors of 647 are 1, 647
The factors of 273 are 1, 3, 7, 13, 21, 39, 91, 273
The factors of 725 are 1, 5, 25, 29, 145, 725
The HCF of 647,273,725 is 1.
Lets's calculate GCF of 647,273,725
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 647,273,725 By Matching Biggest Common Factor Method
Now, list down the factors of 647
:1,647
Now, list down the factors of 273
:1,3,7,13,21,39,91,273
Now, list down the factors of 725
:1,5,25,29,145,725
Greatest Common Factor
We found the factors 647,273,725 . The biggest common factor number is the GCF number.
So the greatest common factor 647,273,725 is 1.
Lets's calculate LCM of 113,410,126
| 2 | 113, 410, 126 |
| 113, 205, 63 |
∴ So the LCM of the given numbers is 2 x 113 x 205 x 63 = 2918790
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2918790
Therefore, the GCF of Fractions 647/113,273/410,725/126 is 1/2918790
Least Common Multiple of 113,410,126 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 113,410,126 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(113,410,126) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(113,410,126) x common factors =1 x 2 = 2
LCM(113,410,126) = ( 113 × 410 × 126 ) / 2
LCM(113,410,126) = 5837580 / 2
LCM(113,410,126) = 2918790
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FAQs on GCF of Fractions of 647/113, 273/410, 725/126
1. What is the HCF of 647,273,725?
The HCF of 647,273,725 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 647/113, 273/410, 725/126?
Answer: GCF of Numerators as per given numbers 647/113, 273/410, 725/126 is
GCF of Numerators i.e. for 647,273,725 is 1
LCM of denominators i.e. for 113,410,126 is 2918790.
Thus, GCF of Fractions is 1/2918790.Finally, GCF of Fractions for 647/113, 273/410, 725/126 is 1/2918790.