Highest Common Factor of 670, 335, 839 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 670, 335, 839 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 670, 335, 839 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 670, 335, 839 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 670, 335, 839 is 1.
HCF(670, 335, 839) = 1
HCF of 670, 335, 839 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 670, 335, 839 is 1.
Highest Common Factor of 670,335,839 is 1
Step 1: Since 670 > 335, we apply the division lemma to 670 and 335, to get
670 = 335 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 335, the HCF of 670 and 335 is 335
Notice that 335 = HCF(670,335) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 839 > 335, we apply the division lemma to 839 and 335, to get
839 = 335 x 2 + 169
Step 2: Since the reminder 335 ≠ 0, we apply division lemma to 169 and 335, to get
335 = 169 x 1 + 166
Step 3: We consider the new divisor 169 and the new remainder 166, and apply the division lemma to get
169 = 166 x 1 + 3
We consider the new divisor 166 and the new remainder 3,and apply the division lemma to get
166 = 3 x 55 + 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 335 and 839 is 1
Notice that 1 = HCF(3,1) = HCF(166,3) = HCF(169,166) = HCF(335,169) = HCF(839,335) .
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Frequently Asked Questions on HCF of 670, 335, 839 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 670, 335, 839?
Answer: HCF of 670, 335, 839 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 670, 335, 839 using Euclid's Algorithm?
Answer: For arbitrary numbers 670, 335, 839 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.