Highest Common Factor of 6827, 3964 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 6827, 3964 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6827, 3964 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 6827, 3964 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 6827, 3964 is 1.
HCF(6827, 3964) = 1
HCF of 6827, 3964 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6827, 3964 is 1.
Highest Common Factor of 6827,3964 is 1
Step 1: Since 6827 > 3964, we apply the division lemma to 6827 and 3964, to get
6827 = 3964 x 1 + 2863
Step 2: Since the reminder 3964 ≠ 0, we apply division lemma to 2863 and 3964, to get
3964 = 2863 x 1 + 1101
Step 3: We consider the new divisor 2863 and the new remainder 1101, and apply the division lemma to get
2863 = 1101 x 2 + 661
We consider the new divisor 1101 and the new remainder 661,and apply the division lemma to get
1101 = 661 x 1 + 440
We consider the new divisor 661 and the new remainder 440,and apply the division lemma to get
661 = 440 x 1 + 221
We consider the new divisor 440 and the new remainder 221,and apply the division lemma to get
440 = 221 x 1 + 219
We consider the new divisor 221 and the new remainder 219,and apply the division lemma to get
221 = 219 x 1 + 2
We consider the new divisor 219 and the new remainder 2,and apply the division lemma to get
219 = 2 x 109 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 6827 and 3964 is 1
Notice that 1 = HCF(2,1) = HCF(219,2) = HCF(221,219) = HCF(440,221) = HCF(661,440) = HCF(1101,661) = HCF(2863,1101) = HCF(3964,2863) = HCF(6827,3964) .
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Frequently Asked Questions on HCF of 6827, 3964 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 6827, 3964?
Answer: HCF of 6827, 3964 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6827, 3964 using Euclid's Algorithm?
Answer: For arbitrary numbers 6827, 3964 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.