Highest Common Factor of 9305, 6200 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 9305, 6200 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 9305, 6200 is 5 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 9305, 6200 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 9305, 6200 is 5.
HCF(9305, 6200) = 5
HCF of 9305, 6200 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9305, 6200 is 5.
Highest Common Factor of 9305,6200 is 5
Step 1: Since 9305 > 6200, we apply the division lemma to 9305 and 6200, to get
9305 = 6200 x 1 + 3105
Step 2: Since the reminder 6200 ≠ 0, we apply division lemma to 3105 and 6200, to get
6200 = 3105 x 1 + 3095
Step 3: We consider the new divisor 3105 and the new remainder 3095, and apply the division lemma to get
3105 = 3095 x 1 + 10
We consider the new divisor 3095 and the new remainder 10,and apply the division lemma to get
3095 = 10 x 309 + 5
We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get
10 = 5 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 9305 and 6200 is 5
Notice that 5 = HCF(10,5) = HCF(3095,10) = HCF(3105,3095) = HCF(6200,3105) = HCF(9305,6200) .
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Frequently Asked Questions on HCF of 9305, 6200 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 9305, 6200?
Answer: HCF of 9305, 6200 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9305, 6200 using Euclid's Algorithm?
Answer: For arbitrary numbers 9305, 6200 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.