Highest Common Factor of 664, 389, 139 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 664, 389, 139 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 664, 389, 139 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 664, 389, 139 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 664, 389, 139 is 1.
HCF(664, 389, 139) = 1
HCF of 664, 389, 139 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 664, 389, 139 is 1.
Highest Common Factor of 664,389,139 is 1
Step 1: Since 664 > 389, we apply the division lemma to 664 and 389, to get
664 = 389 x 1 + 275
Step 2: Since the reminder 389 ≠ 0, we apply division lemma to 275 and 389, to get
389 = 275 x 1 + 114
Step 3: We consider the new divisor 275 and the new remainder 114, and apply the division lemma to get
275 = 114 x 2 + 47
We consider the new divisor 114 and the new remainder 47,and apply the division lemma to get
114 = 47 x 2 + 20
We consider the new divisor 47 and the new remainder 20,and apply the division lemma to get
47 = 20 x 2 + 7
We consider the new divisor 20 and the new remainder 7,and apply the division lemma to get
20 = 7 x 2 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 664 and 389 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(20,7) = HCF(47,20) = HCF(114,47) = HCF(275,114) = HCF(389,275) = HCF(664,389) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 139 > 1, we apply the division lemma to 139 and 1, to get
139 = 1 x 139 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 139 is 1
Notice that 1 = HCF(139,1) .
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Frequently Asked Questions on HCF of 664, 389, 139 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 664, 389, 139?
Answer: HCF of 664, 389, 139 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 664, 389, 139 using Euclid's Algorithm?
Answer: For arbitrary numbers 664, 389, 139 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.