Highest Common Factor of 731, 435 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 731, 435 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 731, 435 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 731, 435 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 731, 435 is 1.
HCF(731, 435) = 1
HCF of 731, 435 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 731, 435 is 1.
Highest Common Factor of 731,435 is 1
Step 1: Since 731 > 435, we apply the division lemma to 731 and 435, to get
731 = 435 x 1 + 296
Step 2: Since the reminder 435 ≠ 0, we apply division lemma to 296 and 435, to get
435 = 296 x 1 + 139
Step 3: We consider the new divisor 296 and the new remainder 139, and apply the division lemma to get
296 = 139 x 2 + 18
We consider the new divisor 139 and the new remainder 18,and apply the division lemma to get
139 = 18 x 7 + 13
We consider the new divisor 18 and the new remainder 13,and apply the division lemma to get
18 = 13 x 1 + 5
We consider the new divisor 13 and the new remainder 5,and apply the division lemma to get
13 = 5 x 2 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 731 and 435 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(13,5) = HCF(18,13) = HCF(139,18) = HCF(296,139) = HCF(435,296) = HCF(731,435) .
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Frequently Asked Questions on HCF of 731, 435 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 731, 435?
Answer: HCF of 731, 435 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 731, 435 using Euclid's Algorithm?
Answer: For arbitrary numbers 731, 435 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.