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, 9524 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6573, 9524 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, 9524 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, 9524 is 1.
HCF(6573, 9524) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6573, 9524 is 1.
Step 1: Since 9524 > 6573, we apply the division lemma to 9524 and 6573, to get
9524 = 6573 x 1 + 2951
Step 2: Since the reminder 6573 ≠ 0, we apply division lemma to 2951 and 6573, to get
6573 = 2951 x 2 + 671
Step 3: We consider the new divisor 2951 and the new remainder 671, and apply the division lemma to get
2951 = 671 x 4 + 267
We consider the new divisor 671 and the new remainder 267,and apply the division lemma to get
671 = 267 x 2 + 137
We consider the new divisor 267 and the new remainder 137,and apply the division lemma to get
267 = 137 x 1 + 130
We consider the new divisor 137 and the new remainder 130,and apply the division lemma to get
137 = 130 x 1 + 7
We consider the new divisor 130 and the new remainder 7,and apply the division lemma to get
130 = 7 x 18 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6573 and 9524 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(130,7) = HCF(137,130) = HCF(267,137) = HCF(671,267) = HCF(2951,671) = HCF(6573,2951) = HCF(9524,6573) .
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, 9524?
Answer: HCF of 6573, 9524 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6573, 9524 using Euclid's Algorithm?
Answer: For arbitrary numbers 6573, 9524 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.