Highest Common Factor of 6200, 9419 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 6200, 9419 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6200, 9419 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 6200, 9419 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 6200, 9419 is 1.
HCF(6200, 9419) = 1
HCF of 6200, 9419 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6200, 9419 is 1.
Highest Common Factor of 6200,9419 is 1
Step 1: Since 9419 > 6200, we apply the division lemma to 9419 and 6200, to get
9419 = 6200 x 1 + 3219
Step 2: Since the reminder 6200 ≠ 0, we apply division lemma to 3219 and 6200, to get
6200 = 3219 x 1 + 2981
Step 3: We consider the new divisor 3219 and the new remainder 2981, and apply the division lemma to get
3219 = 2981 x 1 + 238
We consider the new divisor 2981 and the new remainder 238,and apply the division lemma to get
2981 = 238 x 12 + 125
We consider the new divisor 238 and the new remainder 125,and apply the division lemma to get
238 = 125 x 1 + 113
We consider the new divisor 125 and the new remainder 113,and apply the division lemma to get
125 = 113 x 1 + 12
We consider the new divisor 113 and the new remainder 12,and apply the division lemma to get
113 = 12 x 9 + 5
We consider the new divisor 12 and the new remainder 5,and apply the division lemma to get
12 = 5 x 2 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 6200 and 9419 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(12,5) = HCF(113,12) = HCF(125,113) = HCF(238,125) = HCF(2981,238) = HCF(3219,2981) = HCF(6200,3219) = HCF(9419,6200) .
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Frequently Asked Questions on HCF of 6200, 9419 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 6200, 9419?
Answer: HCF of 6200, 9419 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6200, 9419 using Euclid's Algorithm?
Answer: For arbitrary numbers 6200, 9419 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.