Highest Common Factor of 2306, 1385 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 2306, 1385 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2306, 1385 is 1 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 2306, 1385 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 2306, 1385 is 1.
HCF(2306, 1385) = 1
HCF of 2306, 1385 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2306, 1385 is 1.
Highest Common Factor of 2306,1385 is 1
Step 1: Since 2306 > 1385, we apply the division lemma to 2306 and 1385, to get
2306 = 1385 x 1 + 921
Step 2: Since the reminder 1385 ≠ 0, we apply division lemma to 921 and 1385, to get
1385 = 921 x 1 + 464
Step 3: We consider the new divisor 921 and the new remainder 464, and apply the division lemma to get
921 = 464 x 1 + 457
We consider the new divisor 464 and the new remainder 457,and apply the division lemma to get
464 = 457 x 1 + 7
We consider the new divisor 457 and the new remainder 7,and apply the division lemma to get
457 = 7 x 65 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2306 and 1385 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(457,7) = HCF(464,457) = HCF(921,464) = HCF(1385,921) = HCF(2306,1385) .
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Frequently Asked Questions on HCF of 2306, 1385 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 2306, 1385?
Answer: HCF of 2306, 1385 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2306, 1385 using Euclid's Algorithm?
Answer: For arbitrary numbers 2306, 1385 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
