GCF of 1460/567, 3481/669
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1460/567, 3481/669 i.e 1/126441 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1460/567, 3481/669.
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 1460/567,3481/669?
Given fractions are 1460/567,3481/669
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 1460/567,3481/669, numerators are 1460,3481
Denominators are 567,669
The GCF of 1460,3481 is 1 .
LCM of 567,669 is 126441.
The greatest common factor of 1460/567,3481/669 = [GCF of 1460,3481]/[LCM of 567,669]= 1/126441
Therefore, the GCF of 1460/567,3481/669 is 1/126441.
To find the highest common factor of 1460,3481, we have to find the factors of both numbers and list the highest common factor.
The factors of 1460 are 1, 2, 4, 5, 10, 20, 73, 146, 292, 365, 730, 1460
The factors of 3481 are 1, 59, 3481
The HCF of 1460,3481 is 1.
Lets's calculate GCF of 1460,3481
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1460,3481 By Matching Biggest Common Factor Method
Now, list down the factors of 1460
:1,2,4,5,10,20,73,146,292,365,730,1460
Now, list down the factors of 3481
:1,59,3481
Greatest Common Factor
We found the factors 1460,3481 . The biggest common factor number is the GCF number.
So the greatest common factor 1460,3481 is 1.
Lets's calculate LCM of 567,669
| 3 | 567, 669 |
| 189, 223 |
∴ So the LCM of the given numbers is 3 x 189 x 223 = 126441
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/126441
Therefore, the GCF of Fractions 1460/567,3481/669 is 1/126441
Least Common Multiple of 567,669 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 567,669 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(567,669) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(567,669) x common factors =3 x 1 = 3
LCM(567,669) = ( 567 × 669 ) / 3
LCM(567,669) = 379323 / 3
LCM(567,669) = 126441
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FAQs on GCF of Fractions of 1460/567, 3481/669
1. What is the HCF of 1460,3481?
The HCF of 1460,3481 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 1460/567, 3481/669?
Answer: GCF of Numerators as per given numbers 1460/567, 3481/669 is
GCF of Numerators i.e. for 1460,3481 is 1
LCM of denominators i.e. for 567,669 is 126441.
Thus, GCF of Fractions is 1/126441.Finally, GCF of Fractions for 1460/567, 3481/669 is 1/126441.