Highest Common Factor of 2633, 8451 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 2633, 8451 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2633, 8451 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 2633, 8451 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 2633, 8451 is 1.
HCF(2633, 8451) = 1
HCF of 2633, 8451 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2633, 8451 is 1.
Highest Common Factor of 2633,8451 is 1
Step 1: Since 8451 > 2633, we apply the division lemma to 8451 and 2633, to get
8451 = 2633 x 3 + 552
Step 2: Since the reminder 2633 ≠ 0, we apply division lemma to 552 and 2633, to get
2633 = 552 x 4 + 425
Step 3: We consider the new divisor 552 and the new remainder 425, and apply the division lemma to get
552 = 425 x 1 + 127
We consider the new divisor 425 and the new remainder 127,and apply the division lemma to get
425 = 127 x 3 + 44
We consider the new divisor 127 and the new remainder 44,and apply the division lemma to get
127 = 44 x 2 + 39
We consider the new divisor 44 and the new remainder 39,and apply the division lemma to get
44 = 39 x 1 + 5
We consider the new divisor 39 and the new remainder 5,and apply the division lemma to get
39 = 5 x 7 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2633 and 8451 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(39,5) = HCF(44,39) = HCF(127,44) = HCF(425,127) = HCF(552,425) = HCF(2633,552) = HCF(8451,2633) .
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Frequently Asked Questions on HCF of 2633, 8451 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 2633, 8451?
Answer: HCF of 2633, 8451 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2633, 8451 using Euclid's Algorithm?
Answer: For arbitrary numbers 2633, 8451 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
