Highest Common Factor of 1433, 5297 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 1433, 5297 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1433, 5297 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 1433, 5297 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 1433, 5297 is 1.
HCF(1433, 5297) = 1
HCF of 1433, 5297 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1433, 5297 is 1.
Highest Common Factor of 1433,5297 is 1
Step 1: Since 5297 > 1433, we apply the division lemma to 5297 and 1433, to get
5297 = 1433 x 3 + 998
Step 2: Since the reminder 1433 ≠ 0, we apply division lemma to 998 and 1433, to get
1433 = 998 x 1 + 435
Step 3: We consider the new divisor 998 and the new remainder 435, and apply the division lemma to get
998 = 435 x 2 + 128
We consider the new divisor 435 and the new remainder 128,and apply the division lemma to get
435 = 128 x 3 + 51
We consider the new divisor 128 and the new remainder 51,and apply the division lemma to get
128 = 51 x 2 + 26
We consider the new divisor 51 and the new remainder 26,and apply the division lemma to get
51 = 26 x 1 + 25
We consider the new divisor 26 and the new remainder 25,and apply the division lemma to get
26 = 25 x 1 + 1
We consider the new divisor 25 and the new remainder 1,and apply the division lemma to get
25 = 1 x 25 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1433 and 5297 is 1
Notice that 1 = HCF(25,1) = HCF(26,25) = HCF(51,26) = HCF(128,51) = HCF(435,128) = HCF(998,435) = HCF(1433,998) = HCF(5297,1433) .
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Frequently Asked Questions on HCF of 1433, 5297 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 1433, 5297?
Answer: HCF of 1433, 5297 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1433, 5297 using Euclid's Algorithm?
Answer: For arbitrary numbers 1433, 5297 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.