Highest Common Factor of 329, 3477, 3339 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, 3477, 3339 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 329, 3477, 3339 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, 3477, 3339 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, 3477, 3339 is 1.
HCF(329, 3477, 3339) = 1
HCF of 329, 3477, 3339 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, 3477, 3339 is 1.
Highest Common Factor of 329,3477,3339 is 1
Step 1: Since 3477 > 329, we apply the division lemma to 3477 and 329, to get
3477 = 329 x 10 + 187
Step 2: Since the reminder 329 ≠ 0, we apply division lemma to 187 and 329, to get
329 = 187 x 1 + 142
Step 3: We consider the new divisor 187 and the new remainder 142, and apply the division lemma to get
187 = 142 x 1 + 45
We consider the new divisor 142 and the new remainder 45,and apply the division lemma to get
142 = 45 x 3 + 7
We consider the new divisor 45 and the new remainder 7,and apply the division lemma to get
45 = 7 x 6 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 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 3477 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(45,7) = HCF(142,45) = HCF(187,142) = HCF(329,187) = HCF(3477,329) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 3339 > 1, we apply the division lemma to 3339 and 1, to get
3339 = 1 x 3339 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 3339 is 1
Notice that 1 = HCF(3339,1) .
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Frequently Asked Questions on HCF of 329, 3477, 3339 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, 3477, 3339?
Answer: HCF of 329, 3477, 3339 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 329, 3477, 3339 using Euclid's Algorithm?
Answer: For arbitrary numbers 329, 3477, 3339 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
