Highest Common Factor of 6261, 8681, 62969 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 6261, 8681, 62969 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6261, 8681, 62969 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 6261, 8681, 62969 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 6261, 8681, 62969 is 1.
HCF(6261, 8681, 62969) = 1
HCF of 6261, 8681, 62969 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6261, 8681, 62969 is 1.
Highest Common Factor of 6261,8681,62969 is 1
Step 1: Since 8681 > 6261, we apply the division lemma to 8681 and 6261, to get
8681 = 6261 x 1 + 2420
Step 2: Since the reminder 6261 ≠ 0, we apply division lemma to 2420 and 6261, to get
6261 = 2420 x 2 + 1421
Step 3: We consider the new divisor 2420 and the new remainder 1421, and apply the division lemma to get
2420 = 1421 x 1 + 999
We consider the new divisor 1421 and the new remainder 999,and apply the division lemma to get
1421 = 999 x 1 + 422
We consider the new divisor 999 and the new remainder 422,and apply the division lemma to get
999 = 422 x 2 + 155
We consider the new divisor 422 and the new remainder 155,and apply the division lemma to get
422 = 155 x 2 + 112
We consider the new divisor 155 and the new remainder 112,and apply the division lemma to get
155 = 112 x 1 + 43
We consider the new divisor 112 and the new remainder 43,and apply the division lemma to get
112 = 43 x 2 + 26
We consider the new divisor 43 and the new remainder 26,and apply the division lemma to get
43 = 26 x 1 + 17
We consider the new divisor 26 and the new remainder 17,and apply the division lemma to get
26 = 17 x 1 + 9
We consider the new divisor 17 and the new remainder 9,and apply the division lemma to get
17 = 9 x 1 + 8
We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get
9 = 8 x 1 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6261 and 8681 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(17,9) = HCF(26,17) = HCF(43,26) = HCF(112,43) = HCF(155,112) = HCF(422,155) = HCF(999,422) = HCF(1421,999) = HCF(2420,1421) = HCF(6261,2420) = HCF(8681,6261) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 62969 > 1, we apply the division lemma to 62969 and 1, to get
62969 = 1 x 62969 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 62969 is 1
Notice that 1 = HCF(62969,1) .
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Frequently Asked Questions on HCF of 6261, 8681, 62969 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 6261, 8681, 62969?
Answer: HCF of 6261, 8681, 62969 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6261, 8681, 62969 using Euclid's Algorithm?
Answer: For arbitrary numbers 6261, 8681, 62969 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.