Highest Common Factor of 9525, 8830, 32650 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 9525, 8830, 32650 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 9525, 8830, 32650 is 5 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 9525, 8830, 32650 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 9525, 8830, 32650 is 5.
HCF(9525, 8830, 32650) = 5
HCF of 9525, 8830, 32650 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9525, 8830, 32650 is 5.
Highest Common Factor of 9525,8830,32650 is 5
Step 1: Since 9525 > 8830, we apply the division lemma to 9525 and 8830, to get
9525 = 8830 x 1 + 695
Step 2: Since the reminder 8830 ≠ 0, we apply division lemma to 695 and 8830, to get
8830 = 695 x 12 + 490
Step 3: We consider the new divisor 695 and the new remainder 490, and apply the division lemma to get
695 = 490 x 1 + 205
We consider the new divisor 490 and the new remainder 205,and apply the division lemma to get
490 = 205 x 2 + 80
We consider the new divisor 205 and the new remainder 80,and apply the division lemma to get
205 = 80 x 2 + 45
We consider the new divisor 80 and the new remainder 45,and apply the division lemma to get
80 = 45 x 1 + 35
We consider the new divisor 45 and the new remainder 35,and apply the division lemma to get
45 = 35 x 1 + 10
We consider the new divisor 35 and the new remainder 10,and apply the division lemma to get
35 = 10 x 3 + 5
We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get
10 = 5 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 9525 and 8830 is 5
Notice that 5 = HCF(10,5) = HCF(35,10) = HCF(45,35) = HCF(80,45) = HCF(205,80) = HCF(490,205) = HCF(695,490) = HCF(8830,695) = HCF(9525,8830) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 32650 > 5, we apply the division lemma to 32650 and 5, to get
32650 = 5 x 6530 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 5 and 32650 is 5
Notice that 5 = HCF(32650,5) .
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Frequently Asked Questions on HCF of 9525, 8830, 32650 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 9525, 8830, 32650?
Answer: HCF of 9525, 8830, 32650 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9525, 8830, 32650 using Euclid's Algorithm?
Answer: For arbitrary numbers 9525, 8830, 32650 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.