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 6573, 5576 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6573, 5576 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 6573, 5576 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 6573, 5576 is 1.
HCF(6573, 5576) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6573, 5576 is 1.
Step 1: Since 6573 > 5576, we apply the division lemma to 6573 and 5576, to get
6573 = 5576 x 1 + 997
Step 2: Since the reminder 5576 ≠ 0, we apply division lemma to 997 and 5576, to get
5576 = 997 x 5 + 591
Step 3: We consider the new divisor 997 and the new remainder 591, and apply the division lemma to get
997 = 591 x 1 + 406
We consider the new divisor 591 and the new remainder 406,and apply the division lemma to get
591 = 406 x 1 + 185
We consider the new divisor 406 and the new remainder 185,and apply the division lemma to get
406 = 185 x 2 + 36
We consider the new divisor 185 and the new remainder 36,and apply the division lemma to get
185 = 36 x 5 + 5
We consider the new divisor 36 and the new remainder 5,and apply the division lemma to get
36 = 5 x 7 + 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 6573 and 5576 is 1
Notice that 1 = HCF(5,1) = HCF(36,5) = HCF(185,36) = HCF(406,185) = HCF(591,406) = HCF(997,591) = HCF(5576,997) = HCF(6573,5576) .
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 6573, 5576?
Answer: HCF of 6573, 5576 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6573, 5576 using Euclid's Algorithm?
Answer: For arbitrary numbers 6573, 5576 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.