Highest Common Factor of 353, 25738 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 353, 25738 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 353, 25738 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 353, 25738 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 353, 25738 is 1.
HCF(353, 25738) = 1
HCF of 353, 25738 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 353, 25738 is 1.
Highest Common Factor of 353,25738 is 1
Step 1: Since 25738 > 353, we apply the division lemma to 25738 and 353, to get
25738 = 353 x 72 + 322
Step 2: Since the reminder 353 ≠ 0, we apply division lemma to 322 and 353, to get
353 = 322 x 1 + 31
Step 3: We consider the new divisor 322 and the new remainder 31, and apply the division lemma to get
322 = 31 x 10 + 12
We consider the new divisor 31 and the new remainder 12,and apply the division lemma to get
31 = 12 x 2 + 7
We consider the new divisor 12 and the new remainder 7,and apply the division lemma to get
12 = 7 x 1 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 353 and 25738 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(12,7) = HCF(31,12) = HCF(322,31) = HCF(353,322) = HCF(25738,353) .
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Frequently Asked Questions on HCF of 353, 25738 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 353, 25738?
Answer: HCF of 353, 25738 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 353, 25738 using Euclid's Algorithm?
Answer: For arbitrary numbers 353, 25738 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
