Highest Common Factor of 3496, 8471 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 3496, 8471 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3496, 8471 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 3496, 8471 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 3496, 8471 is 1.
HCF(3496, 8471) = 1
HCF of 3496, 8471 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3496, 8471 is 1.
Highest Common Factor of 3496,8471 is 1
Step 1: Since 8471 > 3496, we apply the division lemma to 8471 and 3496, to get
8471 = 3496 x 2 + 1479
Step 2: Since the reminder 3496 ≠ 0, we apply division lemma to 1479 and 3496, to get
3496 = 1479 x 2 + 538
Step 3: We consider the new divisor 1479 and the new remainder 538, and apply the division lemma to get
1479 = 538 x 2 + 403
We consider the new divisor 538 and the new remainder 403,and apply the division lemma to get
538 = 403 x 1 + 135
We consider the new divisor 403 and the new remainder 135,and apply the division lemma to get
403 = 135 x 2 + 133
We consider the new divisor 135 and the new remainder 133,and apply the division lemma to get
135 = 133 x 1 + 2
We consider the new divisor 133 and the new remainder 2,and apply the division lemma to get
133 = 2 x 66 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3496 and 8471 is 1
Notice that 1 = HCF(2,1) = HCF(133,2) = HCF(135,133) = HCF(403,135) = HCF(538,403) = HCF(1479,538) = HCF(3496,1479) = HCF(8471,3496) .
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Frequently Asked Questions on HCF of 3496, 8471 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 3496, 8471?
Answer: HCF of 3496, 8471 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3496, 8471 using Euclid's Algorithm?
Answer: For arbitrary numbers 3496, 8471 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.