Highest Common Factor of 927, 58836 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 927, 58836 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 927, 58836 is 3 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 927, 58836 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 927, 58836 is 3.
HCF(927, 58836) = 3
HCF of 927, 58836 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 927, 58836 is 3.
Highest Common Factor of 927,58836 is 3
Step 1: Since 58836 > 927, we apply the division lemma to 58836 and 927, to get
58836 = 927 x 63 + 435
Step 2: Since the reminder 927 ≠ 0, we apply division lemma to 435 and 927, to get
927 = 435 x 2 + 57
Step 3: We consider the new divisor 435 and the new remainder 57, and apply the division lemma to get
435 = 57 x 7 + 36
We consider the new divisor 57 and the new remainder 36,and apply the division lemma to get
57 = 36 x 1 + 21
We consider the new divisor 36 and the new remainder 21,and apply the division lemma to get
36 = 21 x 1 + 15
We consider the new divisor 21 and the new remainder 15,and apply the division lemma to get
21 = 15 x 1 + 6
We consider the new divisor 15 and the new remainder 6,and apply the division lemma to get
15 = 6 x 2 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 927 and 58836 is 3
Notice that 3 = HCF(6,3) = HCF(15,6) = HCF(21,15) = HCF(36,21) = HCF(57,36) = HCF(435,57) = HCF(927,435) = HCF(58836,927) .
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Frequently Asked Questions on HCF of 927, 58836 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 927, 58836?
Answer: HCF of 927, 58836 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 927, 58836 using Euclid's Algorithm?
Answer: For arbitrary numbers 927, 58836 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.