Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 333, 4241 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 333, 4241 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 333, 4241 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 333, 4241 is 1.
HCF(333, 4241) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 333, 4241 is 1.
Step 1: Since 4241 > 333, we apply the division lemma to 4241 and 333, to get
4241 = 333 x 12 + 245
Step 2: Since the reminder 333 ≠ 0, we apply division lemma to 245 and 333, to get
333 = 245 x 1 + 88
Step 3: We consider the new divisor 245 and the new remainder 88, and apply the division lemma to get
245 = 88 x 2 + 69
We consider the new divisor 88 and the new remainder 69,and apply the division lemma to get
88 = 69 x 1 + 19
We consider the new divisor 69 and the new remainder 19,and apply the division lemma to get
69 = 19 x 3 + 12
We consider the new divisor 19 and the new remainder 12,and apply the division lemma to get
19 = 12 x 1 + 7
We consider the new divisor 12 and the new remainder 7,and apply the division lemma to get
12 = 7 x 1 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 333 and 4241 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(12,7) = HCF(19,12) = HCF(69,19) = HCF(88,69) = HCF(245,88) = HCF(333,245) = HCF(4241,333) .
Here are some samples of HCF using Euclid's Algorithm calculations.
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 333, 4241?
Answer: HCF of 333, 4241 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 333, 4241 using Euclid's Algorithm?
Answer: For arbitrary numbers 333, 4241 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.