Highest Common Factor of 408, 245 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 408, 245 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 408, 245 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 408, 245 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 408, 245 is 1.
HCF(408, 245) = 1
HCF of 408, 245 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 408, 245 is 1.
Highest Common Factor of 408,245 is 1
Step 1: Since 408 > 245, we apply the division lemma to 408 and 245, to get
408 = 245 x 1 + 163
Step 2: Since the reminder 245 ≠ 0, we apply division lemma to 163 and 245, to get
245 = 163 x 1 + 82
Step 3: We consider the new divisor 163 and the new remainder 82, and apply the division lemma to get
163 = 82 x 1 + 81
We consider the new divisor 82 and the new remainder 81,and apply the division lemma to get
82 = 81 x 1 + 1
We consider the new divisor 81 and the new remainder 1,and apply the division lemma to get
81 = 1 x 81 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 408 and 245 is 1
Notice that 1 = HCF(81,1) = HCF(82,81) = HCF(163,82) = HCF(245,163) = HCF(408,245) .
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Frequently Asked Questions on HCF of 408, 245 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 408, 245?
Answer: HCF of 408, 245 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 408, 245 using Euclid's Algorithm?
Answer: For arbitrary numbers 408, 245 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.