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 5646, 5329 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5646, 5329 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 5646, 5329 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 5646, 5329 is 1.
HCF(5646, 5329) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5646, 5329 is 1.
Step 1: Since 5646 > 5329, we apply the division lemma to 5646 and 5329, to get
5646 = 5329 x 1 + 317
Step 2: Since the reminder 5329 ≠ 0, we apply division lemma to 317 and 5329, to get
5329 = 317 x 16 + 257
Step 3: We consider the new divisor 317 and the new remainder 257, and apply the division lemma to get
317 = 257 x 1 + 60
We consider the new divisor 257 and the new remainder 60,and apply the division lemma to get
257 = 60 x 4 + 17
We consider the new divisor 60 and the new remainder 17,and apply the division lemma to get
60 = 17 x 3 + 9
We consider the new divisor 17 and the new remainder 9,and apply the division lemma to get
17 = 9 x 1 + 8
We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get
9 = 8 x 1 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5646 and 5329 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(17,9) = HCF(60,17) = HCF(257,60) = HCF(317,257) = HCF(5329,317) = HCF(5646,5329) .
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 5646, 5329?
Answer: HCF of 5646, 5329 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5646, 5329 using Euclid's Algorithm?
Answer: For arbitrary numbers 5646, 5329 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.