Highest Common Factor of 3527, 6883 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 3527, 6883 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3527, 6883 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 3527, 6883 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 3527, 6883 is 1.
HCF(3527, 6883) = 1
HCF of 3527, 6883 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3527, 6883 is 1.
Highest Common Factor of 3527,6883 is 1
Step 1: Since 6883 > 3527, we apply the division lemma to 6883 and 3527, to get
6883 = 3527 x 1 + 3356
Step 2: Since the reminder 3527 ≠ 0, we apply division lemma to 3356 and 3527, to get
3527 = 3356 x 1 + 171
Step 3: We consider the new divisor 3356 and the new remainder 171, and apply the division lemma to get
3356 = 171 x 19 + 107
We consider the new divisor 171 and the new remainder 107,and apply the division lemma to get
171 = 107 x 1 + 64
We consider the new divisor 107 and the new remainder 64,and apply the division lemma to get
107 = 64 x 1 + 43
We consider the new divisor 64 and the new remainder 43,and apply the division lemma to get
64 = 43 x 1 + 21
We consider the new divisor 43 and the new remainder 21,and apply the division lemma to get
43 = 21 x 2 + 1
We consider the new divisor 21 and the new remainder 1,and apply the division lemma to get
21 = 1 x 21 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3527 and 6883 is 1
Notice that 1 = HCF(21,1) = HCF(43,21) = HCF(64,43) = HCF(107,64) = HCF(171,107) = HCF(3356,171) = HCF(3527,3356) = HCF(6883,3527) .
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Frequently Asked Questions on HCF of 3527, 6883 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 3527, 6883?
Answer: HCF of 3527, 6883 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3527, 6883 using Euclid's Algorithm?
Answer: For arbitrary numbers 3527, 6883 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.