Highest Common Factor of 8039, 2939 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 8039, 2939 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8039, 2939 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 8039, 2939 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 8039, 2939 is 1.
HCF(8039, 2939) = 1
HCF of 8039, 2939 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8039, 2939 is 1.
Highest Common Factor of 8039,2939 is 1
Step 1: Since 8039 > 2939, we apply the division lemma to 8039 and 2939, to get
8039 = 2939 x 2 + 2161
Step 2: Since the reminder 2939 ≠ 0, we apply division lemma to 2161 and 2939, to get
2939 = 2161 x 1 + 778
Step 3: We consider the new divisor 2161 and the new remainder 778, and apply the division lemma to get
2161 = 778 x 2 + 605
We consider the new divisor 778 and the new remainder 605,and apply the division lemma to get
778 = 605 x 1 + 173
We consider the new divisor 605 and the new remainder 173,and apply the division lemma to get
605 = 173 x 3 + 86
We consider the new divisor 173 and the new remainder 86,and apply the division lemma to get
173 = 86 x 2 + 1
We consider the new divisor 86 and the new remainder 1,and apply the division lemma to get
86 = 1 x 86 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8039 and 2939 is 1
Notice that 1 = HCF(86,1) = HCF(173,86) = HCF(605,173) = HCF(778,605) = HCF(2161,778) = HCF(2939,2161) = HCF(8039,2939) .
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Frequently Asked Questions on HCF of 8039, 2939 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 8039, 2939?
Answer: HCF of 8039, 2939 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8039, 2939 using Euclid's Algorithm?
Answer: For arbitrary numbers 8039, 2939 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.