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 9533, 6113, 26361 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9533, 6113, 26361 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 9533, 6113, 26361 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 9533, 6113, 26361 is 1.
HCF(9533, 6113, 26361) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9533, 6113, 26361 is 1.
Step 1: Since 9533 > 6113, we apply the division lemma to 9533 and 6113, to get
9533 = 6113 x 1 + 3420
Step 2: Since the reminder 6113 ≠ 0, we apply division lemma to 3420 and 6113, to get
6113 = 3420 x 1 + 2693
Step 3: We consider the new divisor 3420 and the new remainder 2693, and apply the division lemma to get
3420 = 2693 x 1 + 727
We consider the new divisor 2693 and the new remainder 727,and apply the division lemma to get
2693 = 727 x 3 + 512
We consider the new divisor 727 and the new remainder 512,and apply the division lemma to get
727 = 512 x 1 + 215
We consider the new divisor 512 and the new remainder 215,and apply the division lemma to get
512 = 215 x 2 + 82
We consider the new divisor 215 and the new remainder 82,and apply the division lemma to get
215 = 82 x 2 + 51
We consider the new divisor 82 and the new remainder 51,and apply the division lemma to get
82 = 51 x 1 + 31
We consider the new divisor 51 and the new remainder 31,and apply the division lemma to get
51 = 31 x 1 + 20
We consider the new divisor 31 and the new remainder 20,and apply the division lemma to get
31 = 20 x 1 + 11
We consider the new divisor 20 and the new remainder 11,and apply the division lemma to get
20 = 11 x 1 + 9
We consider the new divisor 11 and the new remainder 9,and apply the division lemma to get
11 = 9 x 1 + 2
We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get
9 = 2 x 4 + 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 9533 and 6113 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(11,9) = HCF(20,11) = HCF(31,20) = HCF(51,31) = HCF(82,51) = HCF(215,82) = HCF(512,215) = HCF(727,512) = HCF(2693,727) = HCF(3420,2693) = HCF(6113,3420) = HCF(9533,6113) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 26361 > 1, we apply the division lemma to 26361 and 1, to get
26361 = 1 x 26361 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 26361 is 1
Notice that 1 = HCF(26361,1) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 9533, 6113, 26361?
Answer: HCF of 9533, 6113, 26361 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9533, 6113, 26361 using Euclid's Algorithm?
Answer: For arbitrary numbers 9533, 6113, 26361 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.