Highest Common Factor of 159, 429, 27, 781 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 159, 429, 27, 781 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 159, 429, 27, 781 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 159, 429, 27, 781 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 159, 429, 27, 781 is 1.
HCF(159, 429, 27, 781) = 1
HCF of 159, 429, 27, 781 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 159, 429, 27, 781 is 1.
Highest Common Factor of 159,429,27,781 is 1
Step 1: Since 429 > 159, we apply the division lemma to 429 and 159, to get
429 = 159 x 2 + 111
Step 2: Since the reminder 159 ≠ 0, we apply division lemma to 111 and 159, to get
159 = 111 x 1 + 48
Step 3: We consider the new divisor 111 and the new remainder 48, and apply the division lemma to get
111 = 48 x 2 + 15
We consider the new divisor 48 and the new remainder 15,and apply the division lemma to get
48 = 15 x 3 + 3
We consider the new divisor 15 and the new remainder 3,and apply the division lemma to get
15 = 3 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 159 and 429 is 3
Notice that 3 = HCF(15,3) = HCF(48,15) = HCF(111,48) = HCF(159,111) = HCF(429,159) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 27 > 3, we apply the division lemma to 27 and 3, to get
27 = 3 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3 and 27 is 3
Notice that 3 = HCF(27,3) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 781 > 3, we apply the division lemma to 781 and 3, to get
781 = 3 x 260 + 1
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3 and 781 is 1
Notice that 1 = HCF(3,1) = HCF(781,3) .
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Frequently Asked Questions on HCF of 159, 429, 27, 781 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 159, 429, 27, 781?
Answer: HCF of 159, 429, 27, 781 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 159, 429, 27, 781 using Euclid's Algorithm?
Answer: For arbitrary numbers 159, 429, 27, 781 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.