Highest Common Factor of 2399, 1546 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 2399, 1546 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2399, 1546 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 2399, 1546 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 2399, 1546 is 1.
HCF(2399, 1546) = 1
HCF of 2399, 1546 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2399, 1546 is 1.
Highest Common Factor of 2399,1546 is 1
Step 1: Since 2399 > 1546, we apply the division lemma to 2399 and 1546, to get
2399 = 1546 x 1 + 853
Step 2: Since the reminder 1546 ≠ 0, we apply division lemma to 853 and 1546, to get
1546 = 853 x 1 + 693
Step 3: We consider the new divisor 853 and the new remainder 693, and apply the division lemma to get
853 = 693 x 1 + 160
We consider the new divisor 693 and the new remainder 160,and apply the division lemma to get
693 = 160 x 4 + 53
We consider the new divisor 160 and the new remainder 53,and apply the division lemma to get
160 = 53 x 3 + 1
We consider the new divisor 53 and the new remainder 1,and apply the division lemma to get
53 = 1 x 53 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2399 and 1546 is 1
Notice that 1 = HCF(53,1) = HCF(160,53) = HCF(693,160) = HCF(853,693) = HCF(1546,853) = HCF(2399,1546) .
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Frequently Asked Questions on HCF of 2399, 1546 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 2399, 1546?
Answer: HCF of 2399, 1546 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2399, 1546 using Euclid's Algorithm?
Answer: For arbitrary numbers 2399, 1546 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.