Highest Common Factor of 8175, 1811 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 8175, 1811 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8175, 1811 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 8175, 1811 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 8175, 1811 is 1.
HCF(8175, 1811) = 1
HCF of 8175, 1811 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8175, 1811 is 1.
Highest Common Factor of 8175,1811 is 1
Step 1: Since 8175 > 1811, we apply the division lemma to 8175 and 1811, to get
8175 = 1811 x 4 + 931
Step 2: Since the reminder 1811 ≠ 0, we apply division lemma to 931 and 1811, to get
1811 = 931 x 1 + 880
Step 3: We consider the new divisor 931 and the new remainder 880, and apply the division lemma to get
931 = 880 x 1 + 51
We consider the new divisor 880 and the new remainder 51,and apply the division lemma to get
880 = 51 x 17 + 13
We consider the new divisor 51 and the new remainder 13,and apply the division lemma to get
51 = 13 x 3 + 12
We consider the new divisor 13 and the new remainder 12,and apply the division lemma to get
13 = 12 x 1 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8175 and 1811 is 1
Notice that 1 = HCF(12,1) = HCF(13,12) = HCF(51,13) = HCF(880,51) = HCF(931,880) = HCF(1811,931) = HCF(8175,1811) .
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Frequently Asked Questions on HCF of 8175, 1811 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 8175, 1811?
Answer: HCF of 8175, 1811 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8175, 1811 using Euclid's Algorithm?
Answer: For arbitrary numbers 8175, 1811 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.