Highest Common Factor of 9946, 3538 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 9946, 3538 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9946, 3538 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 9946, 3538 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 9946, 3538 is 2.
HCF(9946, 3538) = 2
HCF of 9946, 3538 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9946, 3538 is 2.
Highest Common Factor of 9946,3538 is 2
Step 1: Since 9946 > 3538, we apply the division lemma to 9946 and 3538, to get
9946 = 3538 x 2 + 2870
Step 2: Since the reminder 3538 ≠ 0, we apply division lemma to 2870 and 3538, to get
3538 = 2870 x 1 + 668
Step 3: We consider the new divisor 2870 and the new remainder 668, and apply the division lemma to get
2870 = 668 x 4 + 198
We consider the new divisor 668 and the new remainder 198,and apply the division lemma to get
668 = 198 x 3 + 74
We consider the new divisor 198 and the new remainder 74,and apply the division lemma to get
198 = 74 x 2 + 50
We consider the new divisor 74 and the new remainder 50,and apply the division lemma to get
74 = 50 x 1 + 24
We consider the new divisor 50 and the new remainder 24,and apply the division lemma to get
50 = 24 x 2 + 2
We consider the new divisor 24 and the new remainder 2,and apply the division lemma to get
24 = 2 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9946 and 3538 is 2
Notice that 2 = HCF(24,2) = HCF(50,24) = HCF(74,50) = HCF(198,74) = HCF(668,198) = HCF(2870,668) = HCF(3538,2870) = HCF(9946,3538) .
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Frequently Asked Questions on HCF of 9946, 3538 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 9946, 3538?
Answer: HCF of 9946, 3538 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9946, 3538 using Euclid's Algorithm?
Answer: For arbitrary numbers 9946, 3538 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.