Highest Common Factor of 418, 675 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 418, 675 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 418, 675 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 418, 675 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 418, 675 is 1.
HCF(418, 675) = 1
HCF of 418, 675 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 418, 675 is 1.
Highest Common Factor of 418,675 is 1
Step 1: Since 675 > 418, we apply the division lemma to 675 and 418, to get
675 = 418 x 1 + 257
Step 2: Since the reminder 418 ≠ 0, we apply division lemma to 257 and 418, to get
418 = 257 x 1 + 161
Step 3: We consider the new divisor 257 and the new remainder 161, and apply the division lemma to get
257 = 161 x 1 + 96
We consider the new divisor 161 and the new remainder 96,and apply the division lemma to get
161 = 96 x 1 + 65
We consider the new divisor 96 and the new remainder 65,and apply the division lemma to get
96 = 65 x 1 + 31
We consider the new divisor 65 and the new remainder 31,and apply the division lemma to get
65 = 31 x 2 + 3
We consider the new divisor 31 and the new remainder 3,and apply the division lemma to get
31 = 3 x 10 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 418 and 675 is 1
Notice that 1 = HCF(3,1) = HCF(31,3) = HCF(65,31) = HCF(96,65) = HCF(161,96) = HCF(257,161) = HCF(418,257) = HCF(675,418) .
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Frequently Asked Questions on HCF of 418, 675 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 418, 675?
Answer: HCF of 418, 675 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 418, 675 using Euclid's Algorithm?
Answer: For arbitrary numbers 418, 675 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.