Highest Common Factor of 6782, 5816, 62039 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 6782, 5816, 62039 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6782, 5816, 62039 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 6782, 5816, 62039 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 6782, 5816, 62039 is 1.
HCF(6782, 5816, 62039) = 1
HCF of 6782, 5816, 62039 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6782, 5816, 62039 is 1.
Highest Common Factor of 6782,5816,62039 is 1
Step 1: Since 6782 > 5816, we apply the division lemma to 6782 and 5816, to get
6782 = 5816 x 1 + 966
Step 2: Since the reminder 5816 ≠ 0, we apply division lemma to 966 and 5816, to get
5816 = 966 x 6 + 20
Step 3: We consider the new divisor 966 and the new remainder 20, and apply the division lemma to get
966 = 20 x 48 + 6
We consider the new divisor 20 and the new remainder 6,and apply the division lemma to get
20 = 6 x 3 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6782 and 5816 is 2
Notice that 2 = HCF(6,2) = HCF(20,6) = HCF(966,20) = HCF(5816,966) = HCF(6782,5816) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 62039 > 2, we apply the division lemma to 62039 and 2, to get
62039 = 2 x 31019 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 62039 is 1
Notice that 1 = HCF(2,1) = HCF(62039,2) .
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Frequently Asked Questions on HCF of 6782, 5816, 62039 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 6782, 5816, 62039?
Answer: HCF of 6782, 5816, 62039 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6782, 5816, 62039 using Euclid's Algorithm?
Answer: For arbitrary numbers 6782, 5816, 62039 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.