Highest Common Factor of 6807, 8921 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 6807, 8921 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6807, 8921 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 6807, 8921 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 6807, 8921 is 1.
HCF(6807, 8921) = 1
HCF of 6807, 8921 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6807, 8921 is 1.
Highest Common Factor of 6807,8921 is 1
Step 1: Since 8921 > 6807, we apply the division lemma to 8921 and 6807, to get
8921 = 6807 x 1 + 2114
Step 2: Since the reminder 6807 ≠ 0, we apply division lemma to 2114 and 6807, to get
6807 = 2114 x 3 + 465
Step 3: We consider the new divisor 2114 and the new remainder 465, and apply the division lemma to get
2114 = 465 x 4 + 254
We consider the new divisor 465 and the new remainder 254,and apply the division lemma to get
465 = 254 x 1 + 211
We consider the new divisor 254 and the new remainder 211,and apply the division lemma to get
254 = 211 x 1 + 43
We consider the new divisor 211 and the new remainder 43,and apply the division lemma to get
211 = 43 x 4 + 39
We consider the new divisor 43 and the new remainder 39,and apply the division lemma to get
43 = 39 x 1 + 4
We consider the new divisor 39 and the new remainder 4,and apply the division lemma to get
39 = 4 x 9 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6807 and 8921 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(39,4) = HCF(43,39) = HCF(211,43) = HCF(254,211) = HCF(465,254) = HCF(2114,465) = HCF(6807,2114) = HCF(8921,6807) .
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Frequently Asked Questions on HCF of 6807, 8921 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 6807, 8921?
Answer: HCF of 6807, 8921 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6807, 8921 using Euclid's Algorithm?
Answer: For arbitrary numbers 6807, 8921 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
