Highest Common Factor of 329, 227, 143, 80 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 329, 227, 143, 80 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 329, 227, 143, 80 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 329, 227, 143, 80 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 329, 227, 143, 80 is 1.
HCF(329, 227, 143, 80) = 1
HCF of 329, 227, 143, 80 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 329, 227, 143, 80 is 1.
Highest Common Factor of 329,227,143,80 is 1
Step 1: Since 329 > 227, we apply the division lemma to 329 and 227, to get
329 = 227 x 1 + 102
Step 2: Since the reminder 227 ≠ 0, we apply division lemma to 102 and 227, to get
227 = 102 x 2 + 23
Step 3: We consider the new divisor 102 and the new remainder 23, and apply the division lemma to get
102 = 23 x 4 + 10
We consider the new divisor 23 and the new remainder 10,and apply the division lemma to get
23 = 10 x 2 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma 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 329 and 227 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(23,10) = HCF(102,23) = HCF(227,102) = HCF(329,227) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 143 > 1, we apply the division lemma to 143 and 1, to get
143 = 1 x 143 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 143 is 1
Notice that 1 = HCF(143,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 80 > 1, we apply the division lemma to 80 and 1, to get
80 = 1 x 80 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 80 is 1
Notice that 1 = HCF(80,1) .
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Frequently Asked Questions on HCF of 329, 227, 143, 80 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 329, 227, 143, 80?
Answer: HCF of 329, 227, 143, 80 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 329, 227, 143, 80 using Euclid's Algorithm?
Answer: For arbitrary numbers 329, 227, 143, 80 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.