GCF of 436/841, 546/666
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 436/841, 546/666 i.e 2/560106 easily. The following is the detailed procedure to determine the greatest common factor of fractions 436/841, 546/666.
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 436/841,546/666?
Given fractions are 436/841,546/666
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 436/841,546/666, numerators are 436,546
Denominators are 841,666
The GCF of 436,546 is 2 .
LCM of 841,666 is 560106.
The greatest common factor of 436/841,546/666 = [GCF of 436,546]/[LCM of 841,666]= 2/560106
Therefore, the GCF of 436/841,546/666 is 2/560106.
To find the highest common factor of 436,546, we have to find the factors of both numbers and list the highest common factor.
The factors of 436 are 1, 2, 4, 109, 218, 436
The factors of 546 are 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
The HCF of 436,546 is 2.
Lets's calculate GCF of 436,546
| 2 | 436, 546 |
| 218, 273 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 436,546 By Matching Biggest Common Factor Method
Now, list down the factors of 436
:1,2,4,109,218,436
Now, list down the factors of 546
:1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546
Greatest Common Factor
We found the factors 436,546 . The biggest common factor number is the GCF number.
So the greatest common factor 436,546 is 2.
Lets's calculate LCM of 841,666
Given numbers has no common factors except 1. So, there LCM is their product i.e 560106
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/560106
Therefore, the GCF of Fractions 436/841,546/666 is 2/560106
Least Common Multiple of 841,666 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 841,666 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(841,666) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(841,666) x common factors =1 x 1 = 1
LCM(841,666) = ( 841 × 666 ) / 1
LCM(841,666) = 560106 / 1
LCM(841,666) = 560106
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FAQs on GCF of Fractions of 436/841, 546/666
1. What is the HCF of 436,546?
The HCF of 436,546 is 2
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 436/841, 546/666?
Answer: GCF of Numerators as per given numbers 436/841, 546/666 is
GCF of Numerators i.e. for 436,546 is 2
LCM of denominators i.e. for 841,666 is 560106.
Thus, GCF of Fractions is 2/560106.Finally, GCF of Fractions for 436/841, 546/666 is 2/560106.