Highest Common Factor of 2300, 1604 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 2300, 1604 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 2300, 1604 is 4 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 2300, 1604 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 2300, 1604 is 4.
HCF(2300, 1604) = 4
HCF of 2300, 1604 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2300, 1604 is 4.
Highest Common Factor of 2300,1604 is 4
Step 1: Since 2300 > 1604, we apply the division lemma to 2300 and 1604, to get
2300 = 1604 x 1 + 696
Step 2: Since the reminder 1604 ≠ 0, we apply division lemma to 696 and 1604, to get
1604 = 696 x 2 + 212
Step 3: We consider the new divisor 696 and the new remainder 212, and apply the division lemma to get
696 = 212 x 3 + 60
We consider the new divisor 212 and the new remainder 60,and apply the division lemma to get
212 = 60 x 3 + 32
We consider the new divisor 60 and the new remainder 32,and apply the division lemma to get
60 = 32 x 1 + 28
We consider the new divisor 32 and the new remainder 28,and apply the division lemma to get
32 = 28 x 1 + 4
We consider the new divisor 28 and the new remainder 4,and apply the division lemma to get
28 = 4 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 2300 and 1604 is 4
Notice that 4 = HCF(28,4) = HCF(32,28) = HCF(60,32) = HCF(212,60) = HCF(696,212) = HCF(1604,696) = HCF(2300,1604) .
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Frequently Asked Questions on HCF of 2300, 1604 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 2300, 1604?
Answer: HCF of 2300, 1604 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2300, 1604 using Euclid's Algorithm?
Answer: For arbitrary numbers 2300, 1604 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.