Highest Common Factor of 6525, 3033 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 6525, 3033 i.e. 9 the largest integer that leaves a remainder zero for all numbers.
HCF of 6525, 3033 is 9 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 6525, 3033 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 6525, 3033 is 9.
HCF(6525, 3033) = 9
HCF of 6525, 3033 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6525, 3033 is 9.
Highest Common Factor of 6525,3033 is 9
Step 1: Since 6525 > 3033, we apply the division lemma to 6525 and 3033, to get
6525 = 3033 x 2 + 459
Step 2: Since the reminder 3033 ≠ 0, we apply division lemma to 459 and 3033, to get
3033 = 459 x 6 + 279
Step 3: We consider the new divisor 459 and the new remainder 279, and apply the division lemma to get
459 = 279 x 1 + 180
We consider the new divisor 279 and the new remainder 180,and apply the division lemma to get
279 = 180 x 1 + 99
We consider the new divisor 180 and the new remainder 99,and apply the division lemma to get
180 = 99 x 1 + 81
We consider the new divisor 99 and the new remainder 81,and apply the division lemma to get
99 = 81 x 1 + 18
We consider the new divisor 81 and the new remainder 18,and apply the division lemma to get
81 = 18 x 4 + 9
We consider the new divisor 18 and the new remainder 9,and apply the division lemma to get
18 = 9 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 6525 and 3033 is 9
Notice that 9 = HCF(18,9) = HCF(81,18) = HCF(99,81) = HCF(180,99) = HCF(279,180) = HCF(459,279) = HCF(3033,459) = HCF(6525,3033) .
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Frequently Asked Questions on HCF of 6525, 3033 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 6525, 3033?
Answer: HCF of 6525, 3033 is 9 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6525, 3033 using Euclid's Algorithm?
Answer: For arbitrary numbers 6525, 3033 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
