Highest Common Factor of 6905, 1608 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 6905, 1608 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6905, 1608 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 6905, 1608 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 6905, 1608 is 1.
HCF(6905, 1608) = 1
HCF of 6905, 1608 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6905, 1608 is 1.
Highest Common Factor of 6905,1608 is 1
Step 1: Since 6905 > 1608, we apply the division lemma to 6905 and 1608, to get
6905 = 1608 x 4 + 473
Step 2: Since the reminder 1608 ≠ 0, we apply division lemma to 473 and 1608, to get
1608 = 473 x 3 + 189
Step 3: We consider the new divisor 473 and the new remainder 189, and apply the division lemma to get
473 = 189 x 2 + 95
We consider the new divisor 189 and the new remainder 95,and apply the division lemma to get
189 = 95 x 1 + 94
We consider the new divisor 95 and the new remainder 94,and apply the division lemma to get
95 = 94 x 1 + 1
We consider the new divisor 94 and the new remainder 1,and apply the division lemma to get
94 = 1 x 94 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6905 and 1608 is 1
Notice that 1 = HCF(94,1) = HCF(95,94) = HCF(189,95) = HCF(473,189) = HCF(1608,473) = HCF(6905,1608) .
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Frequently Asked Questions on HCF of 6905, 1608 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 6905, 1608?
Answer: HCF of 6905, 1608 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6905, 1608 using Euclid's Algorithm?
Answer: For arbitrary numbers 6905, 1608 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.