Highest Common Factor of 495, 90368 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 495, 90368 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 495, 90368 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 495, 90368 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 495, 90368 is 1.
HCF(495, 90368) = 1
HCF of 495, 90368 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 495, 90368 is 1.
Highest Common Factor of 495,90368 is 1
Step 1: Since 90368 > 495, we apply the division lemma to 90368 and 495, to get
90368 = 495 x 182 + 278
Step 2: Since the reminder 495 ≠ 0, we apply division lemma to 278 and 495, to get
495 = 278 x 1 + 217
Step 3: We consider the new divisor 278 and the new remainder 217, and apply the division lemma to get
278 = 217 x 1 + 61
We consider the new divisor 217 and the new remainder 61,and apply the division lemma to get
217 = 61 x 3 + 34
We consider the new divisor 61 and the new remainder 34,and apply the division lemma to get
61 = 34 x 1 + 27
We consider the new divisor 34 and the new remainder 27,and apply the division lemma to get
34 = 27 x 1 + 7
We consider the new divisor 27 and the new remainder 7,and apply the division lemma to get
27 = 7 x 3 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 495 and 90368 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(27,7) = HCF(34,27) = HCF(61,34) = HCF(217,61) = HCF(278,217) = HCF(495,278) = HCF(90368,495) .
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Frequently Asked Questions on HCF of 495, 90368 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 495, 90368?
Answer: HCF of 495, 90368 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 495, 90368 using Euclid's Algorithm?
Answer: For arbitrary numbers 495, 90368 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.