Highest Common Factor of 547, 4202, 3403 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 547, 4202, 3403 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 547, 4202, 3403 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 547, 4202, 3403 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 547, 4202, 3403 is 1.
HCF(547, 4202, 3403) = 1
HCF of 547, 4202, 3403 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 547, 4202, 3403 is 1.
Highest Common Factor of 547,4202,3403 is 1
Step 1: Since 4202 > 547, we apply the division lemma to 4202 and 547, to get
4202 = 547 x 7 + 373
Step 2: Since the reminder 547 ≠ 0, we apply division lemma to 373 and 547, to get
547 = 373 x 1 + 174
Step 3: We consider the new divisor 373 and the new remainder 174, and apply the division lemma to get
373 = 174 x 2 + 25
We consider the new divisor 174 and the new remainder 25,and apply the division lemma to get
174 = 25 x 6 + 24
We consider the new divisor 25 and the new remainder 24,and apply the division lemma to get
25 = 24 x 1 + 1
We consider the new divisor 24 and the new remainder 1,and apply the division lemma to get
24 = 1 x 24 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 547 and 4202 is 1
Notice that 1 = HCF(24,1) = HCF(25,24) = HCF(174,25) = HCF(373,174) = HCF(547,373) = HCF(4202,547) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 3403 > 1, we apply the division lemma to 3403 and 1, to get
3403 = 1 x 3403 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 3403 is 1
Notice that 1 = HCF(3403,1) .
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Frequently Asked Questions on HCF of 547, 4202, 3403 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 547, 4202, 3403?
Answer: HCF of 547, 4202, 3403 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 547, 4202, 3403 using Euclid's Algorithm?
Answer: For arbitrary numbers 547, 4202, 3403 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.