Highest Common Factor of 455, 335 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 455, 335 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 455, 335 is 5 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 455, 335 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 455, 335 is 5.
HCF(455, 335) = 5
HCF of 455, 335 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 455, 335 is 5.
Highest Common Factor of 455,335 is 5
Step 1: Since 455 > 335, we apply the division lemma to 455 and 335, to get
455 = 335 x 1 + 120
Step 2: Since the reminder 335 ≠ 0, we apply division lemma to 120 and 335, to get
335 = 120 x 2 + 95
Step 3: We consider the new divisor 120 and the new remainder 95, and apply the division lemma to get
120 = 95 x 1 + 25
We consider the new divisor 95 and the new remainder 25,and apply the division lemma to get
95 = 25 x 3 + 20
We consider the new divisor 25 and the new remainder 20,and apply the division lemma to get
25 = 20 x 1 + 5
We consider the new divisor 20 and the new remainder 5,and apply the division lemma to get
20 = 5 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 455 and 335 is 5
Notice that 5 = HCF(20,5) = HCF(25,20) = HCF(95,25) = HCF(120,95) = HCF(335,120) = HCF(455,335) .
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Frequently Asked Questions on HCF of 455, 335 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 455, 335?
Answer: HCF of 455, 335 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 455, 335 using Euclid's Algorithm?
Answer: For arbitrary numbers 455, 335 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.