Highest Common Factor of 6805, 2959 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 6805, 2959 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6805, 2959 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 6805, 2959 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 6805, 2959 is 1.
HCF(6805, 2959) = 1
HCF of 6805, 2959 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6805, 2959 is 1.
Highest Common Factor of 6805,2959 is 1
Step 1: Since 6805 > 2959, we apply the division lemma to 6805 and 2959, to get
6805 = 2959 x 2 + 887
Step 2: Since the reminder 2959 ≠ 0, we apply division lemma to 887 and 2959, to get
2959 = 887 x 3 + 298
Step 3: We consider the new divisor 887 and the new remainder 298, and apply the division lemma to get
887 = 298 x 2 + 291
We consider the new divisor 298 and the new remainder 291,and apply the division lemma to get
298 = 291 x 1 + 7
We consider the new divisor 291 and the new remainder 7,and apply the division lemma to get
291 = 7 x 41 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 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 6805 and 2959 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(291,7) = HCF(298,291) = HCF(887,298) = HCF(2959,887) = HCF(6805,2959) .
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Frequently Asked Questions on HCF of 6805, 2959 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 6805, 2959?
Answer: HCF of 6805, 2959 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6805, 2959 using Euclid's Algorithm?
Answer: For arbitrary numbers 6805, 2959 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.