Highest Common Factor of 2446, 3497 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 2446, 3497 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2446, 3497 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 2446, 3497 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 2446, 3497 is 1.
HCF(2446, 3497) = 1
HCF of 2446, 3497 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2446, 3497 is 1.
Highest Common Factor of 2446,3497 is 1
Step 1: Since 3497 > 2446, we apply the division lemma to 3497 and 2446, to get
3497 = 2446 x 1 + 1051
Step 2: Since the reminder 2446 ≠ 0, we apply division lemma to 1051 and 2446, to get
2446 = 1051 x 2 + 344
Step 3: We consider the new divisor 1051 and the new remainder 344, and apply the division lemma to get
1051 = 344 x 3 + 19
We consider the new divisor 344 and the new remainder 19,and apply the division lemma to get
344 = 19 x 18 + 2
We consider the new divisor 19 and the new remainder 2,and apply the division lemma to get
19 = 2 x 9 + 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 2446 and 3497 is 1
Notice that 1 = HCF(2,1) = HCF(19,2) = HCF(344,19) = HCF(1051,344) = HCF(2446,1051) = HCF(3497,2446) .
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Frequently Asked Questions on HCF of 2446, 3497 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 2446, 3497?
Answer: HCF of 2446, 3497 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2446, 3497 using Euclid's Algorithm?
Answer: For arbitrary numbers 2446, 3497 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.