Highest Common Factor of 8139, 8933 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 8139, 8933 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8139, 8933 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 8139, 8933 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 8139, 8933 is 1.
HCF(8139, 8933) = 1
HCF of 8139, 8933 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8139, 8933 is 1.
Highest Common Factor of 8139,8933 is 1
Step 1: Since 8933 > 8139, we apply the division lemma to 8933 and 8139, to get
8933 = 8139 x 1 + 794
Step 2: Since the reminder 8139 ≠ 0, we apply division lemma to 794 and 8139, to get
8139 = 794 x 10 + 199
Step 3: We consider the new divisor 794 and the new remainder 199, and apply the division lemma to get
794 = 199 x 3 + 197
We consider the new divisor 199 and the new remainder 197,and apply the division lemma to get
199 = 197 x 1 + 2
We consider the new divisor 197 and the new remainder 2,and apply the division lemma to get
197 = 2 x 98 + 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 8139 and 8933 is 1
Notice that 1 = HCF(2,1) = HCF(197,2) = HCF(199,197) = HCF(794,199) = HCF(8139,794) = HCF(8933,8139) .
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Frequently Asked Questions on HCF of 8139, 8933 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 8139, 8933?
Answer: HCF of 8139, 8933 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8139, 8933 using Euclid's Algorithm?
Answer: For arbitrary numbers 8139, 8933 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
