Highest Common Factor of 3438, 9953 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 3438, 9953 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3438, 9953 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 3438, 9953 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 3438, 9953 is 1.
HCF(3438, 9953) = 1
HCF of 3438, 9953 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3438, 9953 is 1.
Highest Common Factor of 3438,9953 is 1
Step 1: Since 9953 > 3438, we apply the division lemma to 9953 and 3438, to get
9953 = 3438 x 2 + 3077
Step 2: Since the reminder 3438 ≠ 0, we apply division lemma to 3077 and 3438, to get
3438 = 3077 x 1 + 361
Step 3: We consider the new divisor 3077 and the new remainder 361, and apply the division lemma to get
3077 = 361 x 8 + 189
We consider the new divisor 361 and the new remainder 189,and apply the division lemma to get
361 = 189 x 1 + 172
We consider the new divisor 189 and the new remainder 172,and apply the division lemma to get
189 = 172 x 1 + 17
We consider the new divisor 172 and the new remainder 17,and apply the division lemma to get
172 = 17 x 10 + 2
We consider the new divisor 17 and the new remainder 2,and apply the division lemma to get
17 = 2 x 8 + 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 3438 and 9953 is 1
Notice that 1 = HCF(2,1) = HCF(17,2) = HCF(172,17) = HCF(189,172) = HCF(361,189) = HCF(3077,361) = HCF(3438,3077) = HCF(9953,3438) .
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Frequently Asked Questions on HCF of 3438, 9953 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 3438, 9953?
Answer: HCF of 3438, 9953 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3438, 9953 using Euclid's Algorithm?
Answer: For arbitrary numbers 3438, 9953 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.