Highest Common Factor of 333, 193, 198 using Euclid's algorithm
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, 193, 198 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 333, 193, 198 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, 193, 198 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, 193, 198 is 1.
HCF(333, 193, 198) = 1
HCF of 333, 193, 198 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 333, 193, 198 is 1.
Highest Common Factor of 333,193,198 is 1
Step 1: Since 333 > 193, we apply the division lemma to 333 and 193, to get
333 = 193 x 1 + 140
Step 2: Since the reminder 193 ≠ 0, we apply division lemma to 140 and 193, to get
193 = 140 x 1 + 53
Step 3: We consider the new divisor 140 and the new remainder 53, and apply the division lemma to get
140 = 53 x 2 + 34
We consider the new divisor 53 and the new remainder 34,and apply the division lemma to get
53 = 34 x 1 + 19
We consider the new divisor 34 and the new remainder 19,and apply the division lemma to get
34 = 19 x 1 + 15
We consider the new divisor 19 and the new remainder 15,and apply the division lemma to get
19 = 15 x 1 + 4
We consider the new divisor 15 and the new remainder 4,and apply the division lemma to get
15 = 4 x 3 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 333 and 193 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(15,4) = HCF(19,15) = HCF(34,19) = HCF(53,34) = HCF(140,53) = HCF(193,140) = HCF(333,193) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 198 > 1, we apply the division lemma to 198 and 1, to get
198 = 1 x 198 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 198 is 1
Notice that 1 = HCF(198,1) .
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Frequently Asked Questions on HCF of 333, 193, 198 using Euclid's Algorithm
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, 193, 198?
Answer: HCF of 333, 193, 198 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 333, 193, 198 using Euclid's Algorithm?
Answer: For arbitrary numbers 333, 193, 198 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
