Highest Common Factor of 8785, 2083 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 8785, 2083 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8785, 2083 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 8785, 2083 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 8785, 2083 is 1.
HCF(8785, 2083) = 1
HCF of 8785, 2083 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8785, 2083 is 1.
Highest Common Factor of 8785,2083 is 1
Step 1: Since 8785 > 2083, we apply the division lemma to 8785 and 2083, to get
8785 = 2083 x 4 + 453
Step 2: Since the reminder 2083 ≠ 0, we apply division lemma to 453 and 2083, to get
2083 = 453 x 4 + 271
Step 3: We consider the new divisor 453 and the new remainder 271, and apply the division lemma to get
453 = 271 x 1 + 182
We consider the new divisor 271 and the new remainder 182,and apply the division lemma to get
271 = 182 x 1 + 89
We consider the new divisor 182 and the new remainder 89,and apply the division lemma to get
182 = 89 x 2 + 4
We consider the new divisor 89 and the new remainder 4,and apply the division lemma to get
89 = 4 x 22 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8785 and 2083 is 1
Notice that 1 = HCF(4,1) = HCF(89,4) = HCF(182,89) = HCF(271,182) = HCF(453,271) = HCF(2083,453) = HCF(8785,2083) .
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Frequently Asked Questions on HCF of 8785, 2083 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 8785, 2083?
Answer: HCF of 8785, 2083 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8785, 2083 using Euclid's Algorithm?
Answer: For arbitrary numbers 8785, 2083 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.