Highest Common Factor of 6200, 9473 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, 9473 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6200, 9473 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, 9473 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, 9473 is 1.
HCF(6200, 9473) = 1
HCF of 6200, 9473 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, 9473 is 1.
Highest Common Factor of 6200,9473 is 1
Step 1: Since 9473 > 6200, we apply the division lemma to 9473 and 6200, to get
9473 = 6200 x 1 + 3273
Step 2: Since the reminder 6200 ≠ 0, we apply division lemma to 3273 and 6200, to get
6200 = 3273 x 1 + 2927
Step 3: We consider the new divisor 3273 and the new remainder 2927, and apply the division lemma to get
3273 = 2927 x 1 + 346
We consider the new divisor 2927 and the new remainder 346,and apply the division lemma to get
2927 = 346 x 8 + 159
We consider the new divisor 346 and the new remainder 159,and apply the division lemma to get
346 = 159 x 2 + 28
We consider the new divisor 159 and the new remainder 28,and apply the division lemma to get
159 = 28 x 5 + 19
We consider the new divisor 28 and the new remainder 19,and apply the division lemma to get
28 = 19 x 1 + 9
We consider the new divisor 19 and the new remainder 9,and apply the division lemma to get
19 = 9 x 2 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6200 and 9473 is 1
Notice that 1 = HCF(9,1) = HCF(19,9) = HCF(28,19) = HCF(159,28) = HCF(346,159) = HCF(2927,346) = HCF(3273,2927) = HCF(6200,3273) = HCF(9473,6200) .
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Frequently Asked Questions on HCF of 6200, 9473 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, 9473?
Answer: HCF of 6200, 9473 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6200, 9473 using Euclid's Algorithm?
Answer: For arbitrary numbers 6200, 9473 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.