Highest Common Factor of 352, 8712, 2817 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 352, 8712, 2817 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 352, 8712, 2817 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 352, 8712, 2817 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 352, 8712, 2817 is 1.
HCF(352, 8712, 2817) = 1
HCF of 352, 8712, 2817 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 352, 8712, 2817 is 1.
Highest Common Factor of 352,8712,2817 is 1
Step 1: Since 8712 > 352, we apply the division lemma to 8712 and 352, to get
8712 = 352 x 24 + 264
Step 2: Since the reminder 352 ≠ 0, we apply division lemma to 264 and 352, to get
352 = 264 x 1 + 88
Step 3: We consider the new divisor 264 and the new remainder 88, and apply the division lemma to get
264 = 88 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 88, the HCF of 352 and 8712 is 88
Notice that 88 = HCF(264,88) = HCF(352,264) = HCF(8712,352) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 2817 > 88, we apply the division lemma to 2817 and 88, to get
2817 = 88 x 32 + 1
Step 2: Since the reminder 88 ≠ 0, we apply division lemma to 1 and 88, to get
88 = 1 x 88 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 88 and 2817 is 1
Notice that 1 = HCF(88,1) = HCF(2817,88) .
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Frequently Asked Questions on HCF of 352, 8712, 2817 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 352, 8712, 2817?
Answer: HCF of 352, 8712, 2817 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 352, 8712, 2817 using Euclid's Algorithm?
Answer: For arbitrary numbers 352, 8712, 2817 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.