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 2359, 5536 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2359, 5536 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 2359, 5536 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 2359, 5536 is 1.
HCF(2359, 5536) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2359, 5536 is 1.
Step 1: Since 5536 > 2359, we apply the division lemma to 5536 and 2359, to get
5536 = 2359 x 2 + 818
Step 2: Since the reminder 2359 ≠ 0, we apply division lemma to 818 and 2359, to get
2359 = 818 x 2 + 723
Step 3: We consider the new divisor 818 and the new remainder 723, and apply the division lemma to get
818 = 723 x 1 + 95
We consider the new divisor 723 and the new remainder 95,and apply the division lemma to get
723 = 95 x 7 + 58
We consider the new divisor 95 and the new remainder 58,and apply the division lemma to get
95 = 58 x 1 + 37
We consider the new divisor 58 and the new remainder 37,and apply the division lemma to get
58 = 37 x 1 + 21
We consider the new divisor 37 and the new remainder 21,and apply the division lemma to get
37 = 21 x 1 + 16
We consider the new divisor 21 and the new remainder 16,and apply the division lemma to get
21 = 16 x 1 + 5
We consider the new divisor 16 and the new remainder 5,and apply the division lemma to get
16 = 5 x 3 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2359 and 5536 is 1
Notice that 1 = HCF(5,1) = HCF(16,5) = HCF(21,16) = HCF(37,21) = HCF(58,37) = HCF(95,58) = HCF(723,95) = HCF(818,723) = HCF(2359,818) = HCF(5536,2359) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 2359, 5536?
Answer: HCF of 2359, 5536 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2359, 5536 using Euclid's Algorithm?
Answer: For arbitrary numbers 2359, 5536 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.