Highest Common Factor of 2356, 5399 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 2356, 5399 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2356, 5399 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 2356, 5399 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 2356, 5399 is 1.
HCF(2356, 5399) = 1
HCF of 2356, 5399 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2356, 5399 is 1.
Highest Common Factor of 2356,5399 is 1
Step 1: Since 5399 > 2356, we apply the division lemma to 5399 and 2356, to get
5399 = 2356 x 2 + 687
Step 2: Since the reminder 2356 ≠ 0, we apply division lemma to 687 and 2356, to get
2356 = 687 x 3 + 295
Step 3: We consider the new divisor 687 and the new remainder 295, and apply the division lemma to get
687 = 295 x 2 + 97
We consider the new divisor 295 and the new remainder 97,and apply the division lemma to get
295 = 97 x 3 + 4
We consider the new divisor 97 and the new remainder 4,and apply the division lemma to get
97 = 4 x 24 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2356 and 5399 is 1
Notice that 1 = HCF(4,1) = HCF(97,4) = HCF(295,97) = HCF(687,295) = HCF(2356,687) = HCF(5399,2356) .
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Frequently Asked Questions on HCF of 2356, 5399 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 2356, 5399?
Answer: HCF of 2356, 5399 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2356, 5399 using Euclid's Algorithm?
Answer: For arbitrary numbers 2356, 5399 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.