Highest Common Factor of 3404, 2300 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 3404, 2300 i.e. 92 the largest integer that leaves a remainder zero for all numbers.
HCF of 3404, 2300 is 92 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 3404, 2300 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 3404, 2300 is 92.
HCF(3404, 2300) = 92
HCF of 3404, 2300 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3404, 2300 is 92.
Highest Common Factor of 3404,2300 is 92
Step 1: Since 3404 > 2300, we apply the division lemma to 3404 and 2300, to get
3404 = 2300 x 1 + 1104
Step 2: Since the reminder 2300 ≠ 0, we apply division lemma to 1104 and 2300, to get
2300 = 1104 x 2 + 92
Step 3: We consider the new divisor 1104 and the new remainder 92, and apply the division lemma to get
1104 = 92 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 92, the HCF of 3404 and 2300 is 92
Notice that 92 = HCF(1104,92) = HCF(2300,1104) = HCF(3404,2300) .
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Frequently Asked Questions on HCF of 3404, 2300 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 3404, 2300?
Answer: HCF of 3404, 2300 is 92 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3404, 2300 using Euclid's Algorithm?
Answer: For arbitrary numbers 3404, 2300 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.