GCF of 840/339, 421/672
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 840/339, 421/672 i.e 1/75936 easily. The following is the detailed procedure to determine the greatest common factor of fractions 840/339, 421/672.
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 840/339,421/672?
Given fractions are 840/339,421/672
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 840/339,421/672, numerators are 840,421
Denominators are 339,672
The GCF of 840,421 is 1 .
LCM of 339,672 is 75936.
The greatest common factor of 840/339,421/672 = [GCF of 840,421]/[LCM of 339,672]= 1/75936
Therefore, the GCF of 840/339,421/672 is 1/75936.
To find the highest common factor of 840,421, we have to find the factors of both numbers and list the highest common factor.
The factors of 840 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
The factors of 421 are 1, 421
The HCF of 840,421 is 1.
Lets's calculate GCF of 840,421
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 840,421 By Matching Biggest Common Factor Method
Now, list down the factors of 840
:1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840
Now, list down the factors of 421
:1,421
Greatest Common Factor
We found the factors 840,421 . The biggest common factor number is the GCF number.
So the greatest common factor 840,421 is 1.
Lets's calculate LCM of 339,672
| 3 | 339, 672 |
| 113, 224 |
∴ So the LCM of the given numbers is 3 x 113 x 224 = 75936
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/75936
Therefore, the GCF of Fractions 840/339,421/672 is 1/75936
Least Common Multiple of 339,672 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 339,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(339,672) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(339,672) x common factors =3 x 1 = 3
LCM(339,672) = ( 339 × 672 ) / 3
LCM(339,672) = 227808 / 3
LCM(339,672) = 75936
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FAQs on GCF of Fractions of 840/339, 421/672
1. What is the HCF of 840,421?
The HCF of 840,421 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 840/339, 421/672?
Answer: GCF of Numerators as per given numbers 840/339, 421/672 is
GCF of Numerators i.e. for 840,421 is 1
LCM of denominators i.e. for 339,672 is 75936.
Thus, GCF of Fractions is 1/75936.Finally, GCF of Fractions for 840/339, 421/672 is 1/75936.