Highest Common Factor of 671, 820, 340 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 671, 820, 340 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 671, 820, 340 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 671, 820, 340 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 671, 820, 340 is 1.
HCF(671, 820, 340) = 1
HCF of 671, 820, 340 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 671, 820, 340 is 1.
Highest Common Factor of 671,820,340 is 1
Step 1: Since 820 > 671, we apply the division lemma to 820 and 671, to get
820 = 671 x 1 + 149
Step 2: Since the reminder 671 ≠ 0, we apply division lemma to 149 and 671, to get
671 = 149 x 4 + 75
Step 3: We consider the new divisor 149 and the new remainder 75, and apply the division lemma to get
149 = 75 x 1 + 74
We consider the new divisor 75 and the new remainder 74,and apply the division lemma to get
75 = 74 x 1 + 1
We consider the new divisor 74 and the new remainder 1,and apply the division lemma to get
74 = 1 x 74 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 671 and 820 is 1
Notice that 1 = HCF(74,1) = HCF(75,74) = HCF(149,75) = HCF(671,149) = HCF(820,671) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 340 > 1, we apply the division lemma to 340 and 1, to get
340 = 1 x 340 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 340 is 1
Notice that 1 = HCF(340,1) .
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Frequently Asked Questions on HCF of 671, 820, 340 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 671, 820, 340?
Answer: HCF of 671, 820, 340 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 671, 820, 340 using Euclid's Algorithm?
Answer: For arbitrary numbers 671, 820, 340 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.