Highest Common Factor of 859, 588, 157, 13 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, 588, 157, 13 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 859, 588, 157, 13 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, 588, 157, 13 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, 588, 157, 13 is 1.
HCF(859, 588, 157, 13) = 1
HCF of 859, 588, 157, 13 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, 588, 157, 13 is 1.
Highest Common Factor of 859,588,157,13 is 1
Step 1: Since 859 > 588, we apply the division lemma to 859 and 588, to get
859 = 588 x 1 + 271
Step 2: Since the reminder 588 ≠ 0, we apply division lemma to 271 and 588, to get
588 = 271 x 2 + 46
Step 3: We consider the new divisor 271 and the new remainder 46, and apply the division lemma to get
271 = 46 x 5 + 41
We consider the new divisor 46 and the new remainder 41,and apply the division lemma to get
46 = 41 x 1 + 5
We consider the new divisor 41 and the new remainder 5,and apply the division lemma to get
41 = 5 x 8 + 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 859 and 588 is 1
Notice that 1 = HCF(5,1) = HCF(41,5) = HCF(46,41) = HCF(271,46) = HCF(588,271) = HCF(859,588) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 157 > 1, we apply the division lemma to 157 and 1, to get
157 = 1 x 157 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 157 is 1
Notice that 1 = HCF(157,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 13 > 1, we apply the division lemma to 13 and 1, to get
13 = 1 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 13 is 1
Notice that 1 = HCF(13,1) .
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Frequently Asked Questions on HCF of 859, 588, 157, 13 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, 588, 157, 13?
Answer: HCF of 859, 588, 157, 13 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 859, 588, 157, 13 using Euclid's Algorithm?
Answer: For arbitrary numbers 859, 588, 157, 13 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.