Highest Common Factor of 733, 6181, 5366 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, 6181, 5366 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 733, 6181, 5366 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, 6181, 5366 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, 6181, 5366 is 1.
HCF(733, 6181, 5366) = 1
HCF of 733, 6181, 5366 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, 6181, 5366 is 1.
Highest Common Factor of 733,6181,5366 is 1
Step 1: Since 6181 > 733, we apply the division lemma to 6181 and 733, to get
6181 = 733 x 8 + 317
Step 2: Since the reminder 733 ≠ 0, we apply division lemma to 317 and 733, to get
733 = 317 x 2 + 99
Step 3: We consider the new divisor 317 and the new remainder 99, and apply the division lemma to get
317 = 99 x 3 + 20
We consider the new divisor 99 and the new remainder 20,and apply the division lemma to get
99 = 20 x 4 + 19
We consider the new divisor 20 and the new remainder 19,and apply the division lemma to get
20 = 19 x 1 + 1
We consider the new divisor 19 and the new remainder 1,and apply the division lemma to get
19 = 1 x 19 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 733 and 6181 is 1
Notice that 1 = HCF(19,1) = HCF(20,19) = HCF(99,20) = HCF(317,99) = HCF(733,317) = HCF(6181,733) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 5366 > 1, we apply the division lemma to 5366 and 1, to get
5366 = 1 x 5366 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 5366 is 1
Notice that 1 = HCF(5366,1) .
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Frequently Asked Questions on HCF of 733, 6181, 5366 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, 6181, 5366?
Answer: HCF of 733, 6181, 5366 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 733, 6181, 5366 using Euclid's Algorithm?
Answer: For arbitrary numbers 733, 6181, 5366 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.