GCF of 334/64, 840/421
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 334/64, 840/421 i.e 2/26944 easily. The following is the detailed procedure to determine the greatest common factor of fractions 334/64, 840/421.
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 334/64,840/421?
Given fractions are 334/64,840/421
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 334/64,840/421, numerators are 334,840
Denominators are 64,421
The GCF of 334,840 is 2 .
LCM of 64,421 is 26944.
The greatest common factor of 334/64,840/421 = [GCF of 334,840]/[LCM of 64,421]= 2/26944
Therefore, the GCF of 334/64,840/421 is 2/26944.
To find the highest common factor of 334,840, we have to find the factors of both numbers and list the highest common factor.
The factors of 334 are 1, 2, 167, 334
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 HCF of 334,840 is 2.
Lets's calculate GCF of 334,840
| 2 | 334, 840 |
| 167, 420 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 334,840 By Matching Biggest Common Factor Method
Now, list down the factors of 334
:1,2,167,334
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
Greatest Common Factor
We found the factors 334,840 . The biggest common factor number is the GCF number.
So the greatest common factor 334,840 is 2.
Lets's calculate LCM of 64,421
Given numbers has no common factors except 1. So, there LCM is their product i.e 26944
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/26944
Therefore, the GCF of Fractions 334/64,840/421 is 2/26944
Least Common Multiple of 64,421 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 64,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,421) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(64,421) x common factors =1 x 1 = 1
LCM(64,421) = ( 64 × 421 ) / 1
LCM(64,421) = 26944 / 1
LCM(64,421) = 26944
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FAQs on GCF of Fractions of 334/64, 840/421
1. What is the HCF of 334,840?
The HCF of 334,840 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 334/64, 840/421?
Answer: GCF of Numerators as per given numbers 334/64, 840/421 is
GCF of Numerators i.e. for 334,840 is 2
LCM of denominators i.e. for 64,421 is 26944.
Thus, GCF of Fractions is 2/26944.Finally, GCF of Fractions for 334/64, 840/421 is 2/26944.