Highest Common Factor of 859, 2734, 1808 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 859, 2734, 1808 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 859, 2734, 1808 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 859, 2734, 1808 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 859, 2734, 1808 is 1.
HCF(859, 2734, 1808) = 1
HCF of 859, 2734, 1808 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 859, 2734, 1808 is 1.
Highest Common Factor of 859,2734,1808 is 1
Step 1: Since 2734 > 859, we apply the division lemma to 2734 and 859, to get
2734 = 859 x 3 + 157
Step 2: Since the reminder 859 ≠ 0, we apply division lemma to 157 and 859, to get
859 = 157 x 5 + 74
Step 3: We consider the new divisor 157 and the new remainder 74, and apply the division lemma to get
157 = 74 x 2 + 9
We consider the new divisor 74 and the new remainder 9,and apply the division lemma to get
74 = 9 x 8 + 2
We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get
9 = 2 x 4 + 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 859 and 2734 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(74,9) = HCF(157,74) = HCF(859,157) = HCF(2734,859) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 1808 > 1, we apply the division lemma to 1808 and 1, to get
1808 = 1 x 1808 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 1808 is 1
Notice that 1 = HCF(1808,1) .
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Frequently Asked Questions on HCF of 859, 2734, 1808 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 859, 2734, 1808?
Answer: HCF of 859, 2734, 1808 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 859, 2734, 1808 using Euclid's Algorithm?
Answer: For arbitrary numbers 859, 2734, 1808 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.