Highest Common Factor of 424, 6202, 3475 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 424, 6202, 3475 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 424, 6202, 3475 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 424, 6202, 3475 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 424, 6202, 3475 is 1.
HCF(424, 6202, 3475) = 1
HCF of 424, 6202, 3475 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 424, 6202, 3475 is 1.
Highest Common Factor of 424,6202,3475 is 1
Step 1: Since 6202 > 424, we apply the division lemma to 6202 and 424, to get
6202 = 424 x 14 + 266
Step 2: Since the reminder 424 ≠ 0, we apply division lemma to 266 and 424, to get
424 = 266 x 1 + 158
Step 3: We consider the new divisor 266 and the new remainder 158, and apply the division lemma to get
266 = 158 x 1 + 108
We consider the new divisor 158 and the new remainder 108,and apply the division lemma to get
158 = 108 x 1 + 50
We consider the new divisor 108 and the new remainder 50,and apply the division lemma to get
108 = 50 x 2 + 8
We consider the new divisor 50 and the new remainder 8,and apply the division lemma to get
50 = 8 x 6 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 424 and 6202 is 2
Notice that 2 = HCF(8,2) = HCF(50,8) = HCF(108,50) = HCF(158,108) = HCF(266,158) = HCF(424,266) = HCF(6202,424) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 3475 > 2, we apply the division lemma to 3475 and 2, to get
3475 = 2 x 1737 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 3475 is 1
Notice that 1 = HCF(2,1) = HCF(3475,2) .
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Frequently Asked Questions on HCF of 424, 6202, 3475 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 424, 6202, 3475?
Answer: HCF of 424, 6202, 3475 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 424, 6202, 3475 using Euclid's Algorithm?
Answer: For arbitrary numbers 424, 6202, 3475 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.