Highest Common Factor of 343, 201, 994, 736 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 343, 201, 994, 736 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 343, 201, 994, 736 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 343, 201, 994, 736 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 343, 201, 994, 736 is 1.
HCF(343, 201, 994, 736) = 1
HCF of 343, 201, 994, 736 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 343, 201, 994, 736 is 1.
Highest Common Factor of 343,201,994,736 is 1
Step 1: Since 343 > 201, we apply the division lemma to 343 and 201, to get
343 = 201 x 1 + 142
Step 2: Since the reminder 201 ≠ 0, we apply division lemma to 142 and 201, to get
201 = 142 x 1 + 59
Step 3: We consider the new divisor 142 and the new remainder 59, and apply the division lemma to get
142 = 59 x 2 + 24
We consider the new divisor 59 and the new remainder 24,and apply the division lemma to get
59 = 24 x 2 + 11
We consider the new divisor 24 and the new remainder 11,and apply the division lemma to get
24 = 11 x 2 + 2
We consider the new divisor 11 and the new remainder 2,and apply the division lemma to get
11 = 2 x 5 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 343 and 201 is 1
Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(24,11) = HCF(59,24) = HCF(142,59) = HCF(201,142) = HCF(343,201) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 994 > 1, we apply the division lemma to 994 and 1, to get
994 = 1 x 994 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 994 is 1
Notice that 1 = HCF(994,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 736 > 1, we apply the division lemma to 736 and 1, to get
736 = 1 x 736 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 736 is 1
Notice that 1 = HCF(736,1) .
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Frequently Asked Questions on HCF of 343, 201, 994, 736 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 343, 201, 994, 736?
Answer: HCF of 343, 201, 994, 736 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 343, 201, 994, 736 using Euclid's Algorithm?
Answer: For arbitrary numbers 343, 201, 994, 736 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
