Highest Common Factor of 955, 72234 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 955, 72234 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 955, 72234 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 955, 72234 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 955, 72234 is 1.
HCF(955, 72234) = 1
HCF of 955, 72234 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 955, 72234 is 1.
Highest Common Factor of 955,72234 is 1
Step 1: Since 72234 > 955, we apply the division lemma to 72234 and 955, to get
72234 = 955 x 75 + 609
Step 2: Since the reminder 955 ≠ 0, we apply division lemma to 609 and 955, to get
955 = 609 x 1 + 346
Step 3: We consider the new divisor 609 and the new remainder 346, and apply the division lemma to get
609 = 346 x 1 + 263
We consider the new divisor 346 and the new remainder 263,and apply the division lemma to get
346 = 263 x 1 + 83
We consider the new divisor 263 and the new remainder 83,and apply the division lemma to get
263 = 83 x 3 + 14
We consider the new divisor 83 and the new remainder 14,and apply the division lemma to get
83 = 14 x 5 + 13
We consider the new divisor 14 and the new remainder 13,and apply the division lemma to get
14 = 13 x 1 + 1
We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get
13 = 1 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 955 and 72234 is 1
Notice that 1 = HCF(13,1) = HCF(14,13) = HCF(83,14) = HCF(263,83) = HCF(346,263) = HCF(609,346) = HCF(955,609) = HCF(72234,955) .
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Frequently Asked Questions on HCF of 955, 72234 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 955, 72234?
Answer: HCF of 955, 72234 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 955, 72234 using Euclid's Algorithm?
Answer: For arbitrary numbers 955, 72234 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.