Highest Common Factor of 2338, 664 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 2338, 664 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 2338, 664 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 2338, 664 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 2338, 664 is 2.
HCF(2338, 664) = 2
HCF of 2338, 664 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2338, 664 is 2.
Highest Common Factor of 2338,664 is 2
Step 1: Since 2338 > 664, we apply the division lemma to 2338 and 664, to get
2338 = 664 x 3 + 346
Step 2: Since the reminder 664 ≠ 0, we apply division lemma to 346 and 664, to get
664 = 346 x 1 + 318
Step 3: We consider the new divisor 346 and the new remainder 318, and apply the division lemma to get
346 = 318 x 1 + 28
We consider the new divisor 318 and the new remainder 28,and apply the division lemma to get
318 = 28 x 11 + 10
We consider the new divisor 28 and the new remainder 10,and apply the division lemma to get
28 = 10 x 2 + 8
We consider the new divisor 10 and the new remainder 8,and apply the division lemma to get
10 = 8 x 1 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2338 and 664 is 2
Notice that 2 = HCF(8,2) = HCF(10,8) = HCF(28,10) = HCF(318,28) = HCF(346,318) = HCF(664,346) = HCF(2338,664) .
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Frequently Asked Questions on HCF of 2338, 664 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 2338, 664?
Answer: HCF of 2338, 664 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2338, 664 using Euclid's Algorithm?
Answer: For arbitrary numbers 2338, 664 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
