Highest Common Factor of 3525, 6066 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 3525, 6066 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 3525, 6066 is 3 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 3525, 6066 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 3525, 6066 is 3.
HCF(3525, 6066) = 3
HCF of 3525, 6066 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3525, 6066 is 3.
Highest Common Factor of 3525,6066 is 3
Step 1: Since 6066 > 3525, we apply the division lemma to 6066 and 3525, to get
6066 = 3525 x 1 + 2541
Step 2: Since the reminder 3525 ≠ 0, we apply division lemma to 2541 and 3525, to get
3525 = 2541 x 1 + 984
Step 3: We consider the new divisor 2541 and the new remainder 984, and apply the division lemma to get
2541 = 984 x 2 + 573
We consider the new divisor 984 and the new remainder 573,and apply the division lemma to get
984 = 573 x 1 + 411
We consider the new divisor 573 and the new remainder 411,and apply the division lemma to get
573 = 411 x 1 + 162
We consider the new divisor 411 and the new remainder 162,and apply the division lemma to get
411 = 162 x 2 + 87
We consider the new divisor 162 and the new remainder 87,and apply the division lemma to get
162 = 87 x 1 + 75
We consider the new divisor 87 and the new remainder 75,and apply the division lemma to get
87 = 75 x 1 + 12
We consider the new divisor 75 and the new remainder 12,and apply the division lemma to get
75 = 12 x 6 + 3
We consider the new divisor 12 and the new remainder 3,and apply the division lemma to get
12 = 3 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3525 and 6066 is 3
Notice that 3 = HCF(12,3) = HCF(75,12) = HCF(87,75) = HCF(162,87) = HCF(411,162) = HCF(573,411) = HCF(984,573) = HCF(2541,984) = HCF(3525,2541) = HCF(6066,3525) .
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Frequently Asked Questions on HCF of 3525, 6066 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 3525, 6066?
Answer: HCF of 3525, 6066 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3525, 6066 using Euclid's Algorithm?
Answer: For arbitrary numbers 3525, 6066 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.