Highest Common Factor of 403, 696, 147 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 403, 696, 147 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 403, 696, 147 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 403, 696, 147 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 403, 696, 147 is 1.
HCF(403, 696, 147) = 1
HCF of 403, 696, 147 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 403, 696, 147 is 1.
Highest Common Factor of 403,696,147 is 1
Step 1: Since 696 > 403, we apply the division lemma to 696 and 403, to get
696 = 403 x 1 + 293
Step 2: Since the reminder 403 ≠ 0, we apply division lemma to 293 and 403, to get
403 = 293 x 1 + 110
Step 3: We consider the new divisor 293 and the new remainder 110, and apply the division lemma to get
293 = 110 x 2 + 73
We consider the new divisor 110 and the new remainder 73,and apply the division lemma to get
110 = 73 x 1 + 37
We consider the new divisor 73 and the new remainder 37,and apply the division lemma to get
73 = 37 x 1 + 36
We consider the new divisor 37 and the new remainder 36,and apply the division lemma to get
37 = 36 x 1 + 1
We consider the new divisor 36 and the new remainder 1,and apply the division lemma to get
36 = 1 x 36 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 403 and 696 is 1
Notice that 1 = HCF(36,1) = HCF(37,36) = HCF(73,37) = HCF(110,73) = HCF(293,110) = HCF(403,293) = HCF(696,403) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 147 > 1, we apply the division lemma to 147 and 1, to get
147 = 1 x 147 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 147 is 1
Notice that 1 = HCF(147,1) .
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Frequently Asked Questions on HCF of 403, 696, 147 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 403, 696, 147?
Answer: HCF of 403, 696, 147 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 403, 696, 147 using Euclid's Algorithm?
Answer: For arbitrary numbers 403, 696, 147 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.