Highest Common Factor of 7687, 4368 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 7687, 4368 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7687, 4368 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 7687, 4368 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 7687, 4368 is 1.
HCF(7687, 4368) = 1
HCF of 7687, 4368 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7687, 4368 is 1.
Highest Common Factor of 7687,4368 is 1
Step 1: Since 7687 > 4368, we apply the division lemma to 7687 and 4368, to get
7687 = 4368 x 1 + 3319
Step 2: Since the reminder 4368 ≠ 0, we apply division lemma to 3319 and 4368, to get
4368 = 3319 x 1 + 1049
Step 3: We consider the new divisor 3319 and the new remainder 1049, and apply the division lemma to get
3319 = 1049 x 3 + 172
We consider the new divisor 1049 and the new remainder 172,and apply the division lemma to get
1049 = 172 x 6 + 17
We consider the new divisor 172 and the new remainder 17,and apply the division lemma to get
172 = 17 x 10 + 2
We consider the new divisor 17 and the new remainder 2,and apply the division lemma to get
17 = 2 x 8 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7687 and 4368 is 1
Notice that 1 = HCF(2,1) = HCF(17,2) = HCF(172,17) = HCF(1049,172) = HCF(3319,1049) = HCF(4368,3319) = HCF(7687,4368) .
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Frequently Asked Questions on HCF of 7687, 4368 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 7687, 4368?
Answer: HCF of 7687, 4368 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7687, 4368 using Euclid's Algorithm?
Answer: For arbitrary numbers 7687, 4368 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.