Highest Common Factor of 5816, 6987 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 5816, 6987 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5816, 6987 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 5816, 6987 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 5816, 6987 is 1.
HCF(5816, 6987) = 1
HCF of 5816, 6987 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5816, 6987 is 1.
Highest Common Factor of 5816,6987 is 1
Step 1: Since 6987 > 5816, we apply the division lemma to 6987 and 5816, to get
6987 = 5816 x 1 + 1171
Step 2: Since the reminder 5816 ≠ 0, we apply division lemma to 1171 and 5816, to get
5816 = 1171 x 4 + 1132
Step 3: We consider the new divisor 1171 and the new remainder 1132, and apply the division lemma to get
1171 = 1132 x 1 + 39
We consider the new divisor 1132 and the new remainder 39,and apply the division lemma to get
1132 = 39 x 29 + 1
We consider the new divisor 39 and the new remainder 1,and apply the division lemma to get
39 = 1 x 39 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5816 and 6987 is 1
Notice that 1 = HCF(39,1) = HCF(1132,39) = HCF(1171,1132) = HCF(5816,1171) = HCF(6987,5816) .
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Frequently Asked Questions on HCF of 5816, 6987 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 5816, 6987?
Answer: HCF of 5816, 6987 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5816, 6987 using Euclid's Algorithm?
Answer: For arbitrary numbers 5816, 6987 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.