Highest Common Factor of 1684, 8281 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 1684, 8281 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1684, 8281 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 1684, 8281 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 1684, 8281 is 1.
HCF(1684, 8281) = 1
HCF of 1684, 8281 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1684, 8281 is 1.
Highest Common Factor of 1684,8281 is 1
Step 1: Since 8281 > 1684, we apply the division lemma to 8281 and 1684, to get
8281 = 1684 x 4 + 1545
Step 2: Since the reminder 1684 ≠ 0, we apply division lemma to 1545 and 1684, to get
1684 = 1545 x 1 + 139
Step 3: We consider the new divisor 1545 and the new remainder 139, and apply the division lemma to get
1545 = 139 x 11 + 16
We consider the new divisor 139 and the new remainder 16,and apply the division lemma to get
139 = 16 x 8 + 11
We consider the new divisor 16 and the new remainder 11,and apply the division lemma to get
16 = 11 x 1 + 5
We consider the new divisor 11 and the new remainder 5,and apply the division lemma to get
11 = 5 x 2 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1684 and 8281 is 1
Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(16,11) = HCF(139,16) = HCF(1545,139) = HCF(1684,1545) = HCF(8281,1684) .
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Frequently Asked Questions on HCF of 1684, 8281 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 1684, 8281?
Answer: HCF of 1684, 8281 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1684, 8281 using Euclid's Algorithm?
Answer: For arbitrary numbers 1684, 8281 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.