Highest Common Factor of 9450, 3016 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 9450, 3016 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9450, 3016 is 2 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 9450, 3016 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 9450, 3016 is 2.
HCF(9450, 3016) = 2
HCF of 9450, 3016 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9450, 3016 is 2.
Highest Common Factor of 9450,3016 is 2
Step 1: Since 9450 > 3016, we apply the division lemma to 9450 and 3016, to get
9450 = 3016 x 3 + 402
Step 2: Since the reminder 3016 ≠ 0, we apply division lemma to 402 and 3016, to get
3016 = 402 x 7 + 202
Step 3: We consider the new divisor 402 and the new remainder 202, and apply the division lemma to get
402 = 202 x 1 + 200
We consider the new divisor 202 and the new remainder 200,and apply the division lemma to get
202 = 200 x 1 + 2
We consider the new divisor 200 and the new remainder 2,and apply the division lemma to get
200 = 2 x 100 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9450 and 3016 is 2
Notice that 2 = HCF(200,2) = HCF(202,200) = HCF(402,202) = HCF(3016,402) = HCF(9450,3016) .
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Frequently Asked Questions on HCF of 9450, 3016 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 9450, 3016?
Answer: HCF of 9450, 3016 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9450, 3016 using Euclid's Algorithm?
Answer: For arbitrary numbers 9450, 3016 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.