Highest Common Factor of 335, 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 335, 451 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 335, 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 335, 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 335, 451 is 1.
HCF(335, 451) = 1
HCF of 335, 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 335, 451 is 1.
Highest Common Factor of 335,451 is 1
Step 1: Since 451 > 335, we apply the division lemma to 451 and 335, to get
451 = 335 x 1 + 116
Step 2: Since the reminder 335 ≠ 0, we apply division lemma to 116 and 335, to get
335 = 116 x 2 + 103
Step 3: We consider the new divisor 116 and the new remainder 103, and apply the division lemma to get
116 = 103 x 1 + 13
We consider the new divisor 103 and the new remainder 13,and apply the division lemma to get
103 = 13 x 7 + 12
We consider the new divisor 13 and the new remainder 12,and apply the division lemma to get
13 = 12 x 1 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 335 and 451 is 1
Notice that 1 = HCF(12,1) = HCF(13,12) = HCF(103,13) = HCF(116,103) = HCF(335,116) = HCF(451,335) .
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Frequently Asked Questions on HCF of 335, 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 335, 451?
Answer: HCF of 335, 451 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 335, 451 using Euclid's Algorithm?
Answer: For arbitrary numbers 335, 451 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.