Highest Common Factor of 206, 547, 893, 14 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 206, 547, 893, 14 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 206, 547, 893, 14 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 206, 547, 893, 14 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 206, 547, 893, 14 is 1.
HCF(206, 547, 893, 14) = 1
HCF of 206, 547, 893, 14 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 206, 547, 893, 14 is 1.
Highest Common Factor of 206,547,893,14 is 1
Step 1: Since 547 > 206, we apply the division lemma to 547 and 206, to get
547 = 206 x 2 + 135
Step 2: Since the reminder 206 ≠ 0, we apply division lemma to 135 and 206, to get
206 = 135 x 1 + 71
Step 3: We consider the new divisor 135 and the new remainder 71, and apply the division lemma to get
135 = 71 x 1 + 64
We consider the new divisor 71 and the new remainder 64,and apply the division lemma to get
71 = 64 x 1 + 7
We consider the new divisor 64 and the new remainder 7,and apply the division lemma to get
64 = 7 x 9 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 206 and 547 is 1
Notice that 1 = HCF(7,1) = HCF(64,7) = HCF(71,64) = HCF(135,71) = HCF(206,135) = HCF(547,206) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 893 > 1, we apply the division lemma to 893 and 1, to get
893 = 1 x 893 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 893 is 1
Notice that 1 = HCF(893,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 14 > 1, we apply the division lemma to 14 and 1, to get
14 = 1 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 14 is 1
Notice that 1 = HCF(14,1) .
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Frequently Asked Questions on HCF of 206, 547, 893, 14 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 206, 547, 893, 14?
Answer: HCF of 206, 547, 893, 14 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 206, 547, 893, 14 using Euclid's Algorithm?
Answer: For arbitrary numbers 206, 547, 893, 14 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.