Highest Common Factor of 3882, 6742 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 3882, 6742 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3882, 6742 is 2 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 3882, 6742 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 3882, 6742 is 2.
HCF(3882, 6742) = 2
HCF of 3882, 6742 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3882, 6742 is 2.
Highest Common Factor of 3882,6742 is 2
Step 1: Since 6742 > 3882, we apply the division lemma to 6742 and 3882, to get
6742 = 3882 x 1 + 2860
Step 2: Since the reminder 3882 ≠ 0, we apply division lemma to 2860 and 3882, to get
3882 = 2860 x 1 + 1022
Step 3: We consider the new divisor 2860 and the new remainder 1022, and apply the division lemma to get
2860 = 1022 x 2 + 816
We consider the new divisor 1022 and the new remainder 816,and apply the division lemma to get
1022 = 816 x 1 + 206
We consider the new divisor 816 and the new remainder 206,and apply the division lemma to get
816 = 206 x 3 + 198
We consider the new divisor 206 and the new remainder 198,and apply the division lemma to get
206 = 198 x 1 + 8
We consider the new divisor 198 and the new remainder 8,and apply the division lemma to get
198 = 8 x 24 + 6
We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get
8 = 6 x 1 + 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 3882 and 6742 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(198,8) = HCF(206,198) = HCF(816,206) = HCF(1022,816) = HCF(2860,1022) = HCF(3882,2860) = HCF(6742,3882) .
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Frequently Asked Questions on HCF of 3882, 6742 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 3882, 6742?
Answer: HCF of 3882, 6742 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3882, 6742 using Euclid's Algorithm?
Answer: For arbitrary numbers 3882, 6742 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.