Highest Common Factor of 882, 20651 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 882, 20651 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 882, 20651 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 882, 20651 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 882, 20651 is 1.
HCF(882, 20651) = 1
HCF of 882, 20651 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 882, 20651 is 1.
Highest Common Factor of 882,20651 is 1
Step 1: Since 20651 > 882, we apply the division lemma to 20651 and 882, to get
20651 = 882 x 23 + 365
Step 2: Since the reminder 882 ≠ 0, we apply division lemma to 365 and 882, to get
882 = 365 x 2 + 152
Step 3: We consider the new divisor 365 and the new remainder 152, and apply the division lemma to get
365 = 152 x 2 + 61
We consider the new divisor 152 and the new remainder 61,and apply the division lemma to get
152 = 61 x 2 + 30
We consider the new divisor 61 and the new remainder 30,and apply the division lemma to get
61 = 30 x 2 + 1
We consider the new divisor 30 and the new remainder 1,and apply the division lemma to get
30 = 1 x 30 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 882 and 20651 is 1
Notice that 1 = HCF(30,1) = HCF(61,30) = HCF(152,61) = HCF(365,152) = HCF(882,365) = HCF(20651,882) .
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Frequently Asked Questions on HCF of 882, 20651 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 882, 20651?
Answer: HCF of 882, 20651 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 882, 20651 using Euclid's Algorithm?
Answer: For arbitrary numbers 882, 20651 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.