Highest Common Factor of 333, 806, 274, 338 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, 806, 274, 338 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 333, 806, 274, 338 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, 806, 274, 338 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, 806, 274, 338 is 1.
HCF(333, 806, 274, 338) = 1
HCF of 333, 806, 274, 338 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, 806, 274, 338 is 1.
Highest Common Factor of 333,806,274,338 is 1
Step 1: Since 806 > 333, we apply the division lemma to 806 and 333, to get
806 = 333 x 2 + 140
Step 2: Since the reminder 333 ≠ 0, we apply division lemma to 140 and 333, to get
333 = 140 x 2 + 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 806 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(333,140) = HCF(806,333) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 274 > 1, we apply the division lemma to 274 and 1, to get
274 = 1 x 274 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 274 is 1
Notice that 1 = HCF(274,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 338 > 1, we apply the division lemma to 338 and 1, to get
338 = 1 x 338 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 338 is 1
Notice that 1 = HCF(338,1) .
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Frequently Asked Questions on HCF of 333, 806, 274, 338 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, 806, 274, 338?
Answer: HCF of 333, 806, 274, 338 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 333, 806, 274, 338 using Euclid's Algorithm?
Answer: For arbitrary numbers 333, 806, 274, 338 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.