Highest Common Factor of 3263, 7679 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 3263, 7679 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3263, 7679 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 3263, 7679 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 3263, 7679 is 1.
HCF(3263, 7679) = 1
HCF of 3263, 7679 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3263, 7679 is 1.
Highest Common Factor of 3263,7679 is 1
Step 1: Since 7679 > 3263, we apply the division lemma to 7679 and 3263, to get
7679 = 3263 x 2 + 1153
Step 2: Since the reminder 3263 ≠ 0, we apply division lemma to 1153 and 3263, to get
3263 = 1153 x 2 + 957
Step 3: We consider the new divisor 1153 and the new remainder 957, and apply the division lemma to get
1153 = 957 x 1 + 196
We consider the new divisor 957 and the new remainder 196,and apply the division lemma to get
957 = 196 x 4 + 173
We consider the new divisor 196 and the new remainder 173,and apply the division lemma to get
196 = 173 x 1 + 23
We consider the new divisor 173 and the new remainder 23,and apply the division lemma to get
173 = 23 x 7 + 12
We consider the new divisor 23 and the new remainder 12,and apply the division lemma to get
23 = 12 x 1 + 11
We consider the new divisor 12 and the new remainder 11,and apply the division lemma to get
12 = 11 x 1 + 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 3263 and 7679 is 1
Notice that 1 = HCF(11,1) = HCF(12,11) = HCF(23,12) = HCF(173,23) = HCF(196,173) = HCF(957,196) = HCF(1153,957) = HCF(3263,1153) = HCF(7679,3263) .
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Frequently Asked Questions on HCF of 3263, 7679 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 3263, 7679?
Answer: HCF of 3263, 7679 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3263, 7679 using Euclid's Algorithm?
Answer: For arbitrary numbers 3263, 7679 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.