Highest Common Factor of 6859, 1209, 87143 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 6859, 1209, 87143 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6859, 1209, 87143 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 6859, 1209, 87143 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 6859, 1209, 87143 is 1.
HCF(6859, 1209, 87143) = 1
HCF of 6859, 1209, 87143 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6859, 1209, 87143 is 1.
Highest Common Factor of 6859,1209,87143 is 1
Step 1: Since 6859 > 1209, we apply the division lemma to 6859 and 1209, to get
6859 = 1209 x 5 + 814
Step 2: Since the reminder 1209 ≠ 0, we apply division lemma to 814 and 1209, to get
1209 = 814 x 1 + 395
Step 3: We consider the new divisor 814 and the new remainder 395, and apply the division lemma to get
814 = 395 x 2 + 24
We consider the new divisor 395 and the new remainder 24,and apply the division lemma to get
395 = 24 x 16 + 11
We consider the new divisor 24 and the new remainder 11,and apply the division lemma to get
24 = 11 x 2 + 2
We consider the new divisor 11 and the new remainder 2,and apply the division lemma to get
11 = 2 x 5 + 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 6859 and 1209 is 1
Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(24,11) = HCF(395,24) = HCF(814,395) = HCF(1209,814) = HCF(6859,1209) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 87143 > 1, we apply the division lemma to 87143 and 1, to get
87143 = 1 x 87143 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 87143 is 1
Notice that 1 = HCF(87143,1) .
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Frequently Asked Questions on HCF of 6859, 1209, 87143 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 6859, 1209, 87143?
Answer: HCF of 6859, 1209, 87143 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6859, 1209, 87143 using Euclid's Algorithm?
Answer: For arbitrary numbers 6859, 1209, 87143 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.