GCF of 411/690, 420/699
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 411/690, 420/699 i.e 3/160770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 411/690, 420/699.
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 411/690,420/699?
Given fractions are 411/690,420/699
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 411/690,420/699, numerators are 411,420
Denominators are 690,699
The GCF of 411,420 is 3 .
LCM of 690,699 is 160770.
The greatest common factor of 411/690,420/699 = [GCF of 411,420]/[LCM of 690,699]= 3/160770
Therefore, the GCF of 411/690,420/699 is 3/160770.
To find the highest common factor of 411,420, we have to find the factors of both numbers and list the highest common factor.
The factors of 411 are 1, 3, 137, 411
The factors of 420 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
The HCF of 411,420 is 3.
Lets's calculate GCF of 411,420
| 3 | 411, 420 |
| 137, 140 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 411,420 By Matching Biggest Common Factor Method
Now, list down the factors of 411
:1,3,137,411
Now, list down the factors of 420
:1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420
Greatest Common Factor
We found the factors 411,420 . The biggest common factor number is the GCF number.
So the greatest common factor 411,420 is 3.
Lets's calculate LCM of 690,699
| 3 | 690, 699 |
| 230, 233 |
∴ So the LCM of the given numbers is 3 x 230 x 233 = 160770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/160770
Therefore, the GCF of Fractions 411/690,420/699 is 3/160770
Least Common Multiple of 690,699 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 690,699 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(690,699) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(690,699) x common factors =3 x 1 = 3
LCM(690,699) = ( 690 × 699 ) / 3
LCM(690,699) = 482310 / 3
LCM(690,699) = 160770
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FAQs on GCF of Fractions of 411/690, 420/699
1. What is the HCF of 411,420?
The HCF of 411,420 is 3
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 411/690, 420/699?
Answer: GCF of Numerators as per given numbers 411/690, 420/699 is
GCF of Numerators i.e. for 411,420 is 3
LCM of denominators i.e. for 690,699 is 160770.
Thus, GCF of Fractions is 3/160770.Finally, GCF of Fractions for 411/690, 420/699 is 3/160770.