Highest Common Factor of 2444, 3698 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 2444, 3698 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 2444, 3698 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 2444, 3698 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 2444, 3698 is 2.
HCF(2444, 3698) = 2
HCF of 2444, 3698 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2444, 3698 is 2.
Highest Common Factor of 2444,3698 is 2
Step 1: Since 3698 > 2444, we apply the division lemma to 3698 and 2444, to get
3698 = 2444 x 1 + 1254
Step 2: Since the reminder 2444 ≠ 0, we apply division lemma to 1254 and 2444, to get
2444 = 1254 x 1 + 1190
Step 3: We consider the new divisor 1254 and the new remainder 1190, and apply the division lemma to get
1254 = 1190 x 1 + 64
We consider the new divisor 1190 and the new remainder 64,and apply the division lemma to get
1190 = 64 x 18 + 38
We consider the new divisor 64 and the new remainder 38,and apply the division lemma to get
64 = 38 x 1 + 26
We consider the new divisor 38 and the new remainder 26,and apply the division lemma to get
38 = 26 x 1 + 12
We consider the new divisor 26 and the new remainder 12,and apply the division lemma to get
26 = 12 x 2 + 2
We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2444 and 3698 is 2
Notice that 2 = HCF(12,2) = HCF(26,12) = HCF(38,26) = HCF(64,38) = HCF(1190,64) = HCF(1254,1190) = HCF(2444,1254) = HCF(3698,2444) .
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Frequently Asked Questions on HCF of 2444, 3698 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 2444, 3698?
Answer: HCF of 2444, 3698 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2444, 3698 using Euclid's Algorithm?
Answer: For arbitrary numbers 2444, 3698 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
