Highest Common Factor of 733, 465, 367 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 733, 465, 367 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 733, 465, 367 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 733, 465, 367 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 733, 465, 367 is 1.
HCF(733, 465, 367) = 1
HCF of 733, 465, 367 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 733, 465, 367 is 1.
Highest Common Factor of 733,465,367 is 1
Step 1: Since 733 > 465, we apply the division lemma to 733 and 465, to get
733 = 465 x 1 + 268
Step 2: Since the reminder 465 ≠ 0, we apply division lemma to 268 and 465, to get
465 = 268 x 1 + 197
Step 3: We consider the new divisor 268 and the new remainder 197, and apply the division lemma to get
268 = 197 x 1 + 71
We consider the new divisor 197 and the new remainder 71,and apply the division lemma to get
197 = 71 x 2 + 55
We consider the new divisor 71 and the new remainder 55,and apply the division lemma to get
71 = 55 x 1 + 16
We consider the new divisor 55 and the new remainder 16,and apply the division lemma to get
55 = 16 x 3 + 7
We consider the new divisor 16 and the new remainder 7,and apply the division lemma to get
16 = 7 x 2 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 733 and 465 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(16,7) = HCF(55,16) = HCF(71,55) = HCF(197,71) = HCF(268,197) = HCF(465,268) = HCF(733,465) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 367 > 1, we apply the division lemma to 367 and 1, to get
367 = 1 x 367 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 367 is 1
Notice that 1 = HCF(367,1) .
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Frequently Asked Questions on HCF of 733, 465, 367 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 733, 465, 367?
Answer: HCF of 733, 465, 367 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 733, 465, 367 using Euclid's Algorithm?
Answer: For arbitrary numbers 733, 465, 367 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.