Highest Common Factor of 797, 1429 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 797, 1429 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 797, 1429 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 797, 1429 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 797, 1429 is 1.
HCF(797, 1429) = 1
HCF of 797, 1429 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 797, 1429 is 1.
Highest Common Factor of 797,1429 is 1
Step 1: Since 1429 > 797, we apply the division lemma to 1429 and 797, to get
1429 = 797 x 1 + 632
Step 2: Since the reminder 797 ≠ 0, we apply division lemma to 632 and 797, to get
797 = 632 x 1 + 165
Step 3: We consider the new divisor 632 and the new remainder 165, and apply the division lemma to get
632 = 165 x 3 + 137
We consider the new divisor 165 and the new remainder 137,and apply the division lemma to get
165 = 137 x 1 + 28
We consider the new divisor 137 and the new remainder 28,and apply the division lemma to get
137 = 28 x 4 + 25
We consider the new divisor 28 and the new remainder 25,and apply the division lemma to get
28 = 25 x 1 + 3
We consider the new divisor 25 and the new remainder 3,and apply the division lemma to get
25 = 3 x 8 + 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 797 and 1429 is 1
Notice that 1 = HCF(3,1) = HCF(25,3) = HCF(28,25) = HCF(137,28) = HCF(165,137) = HCF(632,165) = HCF(797,632) = HCF(1429,797) .
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Frequently Asked Questions on HCF of 797, 1429 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 797, 1429?
Answer: HCF of 797, 1429 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 797, 1429 using Euclid's Algorithm?
Answer: For arbitrary numbers 797, 1429 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
