Highest Common Factor of 855, 451 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 855, 451 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 855, 451 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 855, 451 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 855, 451 is 1.
HCF(855, 451) = 1
HCF of 855, 451 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 855, 451 is 1.
Highest Common Factor of 855,451 is 1
Step 1: Since 855 > 451, we apply the division lemma to 855 and 451, to get
855 = 451 x 1 + 404
Step 2: Since the reminder 451 ≠ 0, we apply division lemma to 404 and 451, to get
451 = 404 x 1 + 47
Step 3: We consider the new divisor 404 and the new remainder 47, and apply the division lemma to get
404 = 47 x 8 + 28
We consider the new divisor 47 and the new remainder 28,and apply the division lemma to get
47 = 28 x 1 + 19
We consider the new divisor 28 and the new remainder 19,and apply the division lemma to get
28 = 19 x 1 + 9
We consider the new divisor 19 and the new remainder 9,and apply the division lemma to get
19 = 9 x 2 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 855 and 451 is 1
Notice that 1 = HCF(9,1) = HCF(19,9) = HCF(28,19) = HCF(47,28) = HCF(404,47) = HCF(451,404) = HCF(855,451) .
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Frequently Asked Questions on HCF of 855, 451 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 855, 451?
Answer: HCF of 855, 451 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 855, 451 using Euclid's Algorithm?
Answer: For arbitrary numbers 855, 451 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.