Highest Common Factor of 5907, 3215 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 5907, 3215 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5907, 3215 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 5907, 3215 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 5907, 3215 is 1.
HCF(5907, 3215) = 1
HCF of 5907, 3215 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5907, 3215 is 1.
Highest Common Factor of 5907,3215 is 1
Step 1: Since 5907 > 3215, we apply the division lemma to 5907 and 3215, to get
5907 = 3215 x 1 + 2692
Step 2: Since the reminder 3215 ≠ 0, we apply division lemma to 2692 and 3215, to get
3215 = 2692 x 1 + 523
Step 3: We consider the new divisor 2692 and the new remainder 523, and apply the division lemma to get
2692 = 523 x 5 + 77
We consider the new divisor 523 and the new remainder 77,and apply the division lemma to get
523 = 77 x 6 + 61
We consider the new divisor 77 and the new remainder 61,and apply the division lemma to get
77 = 61 x 1 + 16
We consider the new divisor 61 and the new remainder 16,and apply the division lemma to get
61 = 16 x 3 + 13
We consider the new divisor 16 and the new remainder 13,and apply the division lemma to get
16 = 13 x 1 + 3
We consider the new divisor 13 and the new remainder 3,and apply the division lemma to get
13 = 3 x 4 + 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 5907 and 3215 is 1
Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(16,13) = HCF(61,16) = HCF(77,61) = HCF(523,77) = HCF(2692,523) = HCF(3215,2692) = HCF(5907,3215) .
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Frequently Asked Questions on HCF of 5907, 3215 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 5907, 3215?
Answer: HCF of 5907, 3215 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5907, 3215 using Euclid's Algorithm?
Answer: For arbitrary numbers 5907, 3215 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.