Highest Common Factor of 2983, 6736 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 2983, 6736 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2983, 6736 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 2983, 6736 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 2983, 6736 is 1.
HCF(2983, 6736) = 1
HCF of 2983, 6736 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2983, 6736 is 1.
Highest Common Factor of 2983,6736 is 1
Step 1: Since 6736 > 2983, we apply the division lemma to 6736 and 2983, to get
6736 = 2983 x 2 + 770
Step 2: Since the reminder 2983 ≠ 0, we apply division lemma to 770 and 2983, to get
2983 = 770 x 3 + 673
Step 3: We consider the new divisor 770 and the new remainder 673, and apply the division lemma to get
770 = 673 x 1 + 97
We consider the new divisor 673 and the new remainder 97,and apply the division lemma to get
673 = 97 x 6 + 91
We consider the new divisor 97 and the new remainder 91,and apply the division lemma to get
97 = 91 x 1 + 6
We consider the new divisor 91 and the new remainder 6,and apply the division lemma to get
91 = 6 x 15 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2983 and 6736 is 1
Notice that 1 = HCF(6,1) = HCF(91,6) = HCF(97,91) = HCF(673,97) = HCF(770,673) = HCF(2983,770) = HCF(6736,2983) .
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Frequently Asked Questions on HCF of 2983, 6736 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 2983, 6736?
Answer: HCF of 2983, 6736 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2983, 6736 using Euclid's Algorithm?
Answer: For arbitrary numbers 2983, 6736 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.