Highest Common Factor of 7999, 1706 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 7999, 1706 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7999, 1706 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 7999, 1706 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 7999, 1706 is 1.
HCF(7999, 1706) = 1
HCF of 7999, 1706 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7999, 1706 is 1.
Highest Common Factor of 7999,1706 is 1
Step 1: Since 7999 > 1706, we apply the division lemma to 7999 and 1706, to get
7999 = 1706 x 4 + 1175
Step 2: Since the reminder 1706 ≠ 0, we apply division lemma to 1175 and 1706, to get
1706 = 1175 x 1 + 531
Step 3: We consider the new divisor 1175 and the new remainder 531, and apply the division lemma to get
1175 = 531 x 2 + 113
We consider the new divisor 531 and the new remainder 113,and apply the division lemma to get
531 = 113 x 4 + 79
We consider the new divisor 113 and the new remainder 79,and apply the division lemma to get
113 = 79 x 1 + 34
We consider the new divisor 79 and the new remainder 34,and apply the division lemma to get
79 = 34 x 2 + 11
We consider the new divisor 34 and the new remainder 11,and apply the division lemma to get
34 = 11 x 3 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7999 and 1706 is 1
Notice that 1 = HCF(11,1) = HCF(34,11) = HCF(79,34) = HCF(113,79) = HCF(531,113) = HCF(1175,531) = HCF(1706,1175) = HCF(7999,1706) .
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Frequently Asked Questions on HCF of 7999, 1706 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 7999, 1706?
Answer: HCF of 7999, 1706 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7999, 1706 using Euclid's Algorithm?
Answer: For arbitrary numbers 7999, 1706 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.