Highest Common Factor of 2398, 3606 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 2398, 3606 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 2398, 3606 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 2398, 3606 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 2398, 3606 is 2.
HCF(2398, 3606) = 2
HCF of 2398, 3606 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2398, 3606 is 2.
Highest Common Factor of 2398,3606 is 2
Step 1: Since 3606 > 2398, we apply the division lemma to 3606 and 2398, to get
3606 = 2398 x 1 + 1208
Step 2: Since the reminder 2398 ≠ 0, we apply division lemma to 1208 and 2398, to get
2398 = 1208 x 1 + 1190
Step 3: We consider the new divisor 1208 and the new remainder 1190, and apply the division lemma to get
1208 = 1190 x 1 + 18
We consider the new divisor 1190 and the new remainder 18,and apply the division lemma to get
1190 = 18 x 66 + 2
We consider the new divisor 18 and the new remainder 2,and apply the division lemma to get
18 = 2 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2398 and 3606 is 2
Notice that 2 = HCF(18,2) = HCF(1190,18) = HCF(1208,1190) = HCF(2398,1208) = HCF(3606,2398) .
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Frequently Asked Questions on HCF of 2398, 3606 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 2398, 3606?
Answer: HCF of 2398, 3606 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2398, 3606 using Euclid's Algorithm?
Answer: For arbitrary numbers 2398, 3606 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.