Highest Common Factor of 8679, 1381 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 8679, 1381 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8679, 1381 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 8679, 1381 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 8679, 1381 is 1.
HCF(8679, 1381) = 1
HCF of 8679, 1381 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8679, 1381 is 1.
Highest Common Factor of 8679,1381 is 1
Step 1: Since 8679 > 1381, we apply the division lemma to 8679 and 1381, to get
8679 = 1381 x 6 + 393
Step 2: Since the reminder 1381 ≠ 0, we apply division lemma to 393 and 1381, to get
1381 = 393 x 3 + 202
Step 3: We consider the new divisor 393 and the new remainder 202, and apply the division lemma to get
393 = 202 x 1 + 191
We consider the new divisor 202 and the new remainder 191,and apply the division lemma to get
202 = 191 x 1 + 11
We consider the new divisor 191 and the new remainder 11,and apply the division lemma to get
191 = 11 x 17 + 4
We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get
11 = 4 x 2 + 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 8679 and 1381 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(191,11) = HCF(202,191) = HCF(393,202) = HCF(1381,393) = HCF(8679,1381) .
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Frequently Asked Questions on HCF of 8679, 1381 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 8679, 1381?
Answer: HCF of 8679, 1381 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8679, 1381 using Euclid's Algorithm?
Answer: For arbitrary numbers 8679, 1381 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
