Highest Common Factor of 3602, 6124 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 3602, 6124 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3602, 6124 is 2 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 3602, 6124 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 3602, 6124 is 2.
HCF(3602, 6124) = 2
HCF of 3602, 6124 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3602, 6124 is 2.
Highest Common Factor of 3602,6124 is 2
Step 1: Since 6124 > 3602, we apply the division lemma to 6124 and 3602, to get
6124 = 3602 x 1 + 2522
Step 2: Since the reminder 3602 ≠ 0, we apply division lemma to 2522 and 3602, to get
3602 = 2522 x 1 + 1080
Step 3: We consider the new divisor 2522 and the new remainder 1080, and apply the division lemma to get
2522 = 1080 x 2 + 362
We consider the new divisor 1080 and the new remainder 362,and apply the division lemma to get
1080 = 362 x 2 + 356
We consider the new divisor 362 and the new remainder 356,and apply the division lemma to get
362 = 356 x 1 + 6
We consider the new divisor 356 and the new remainder 6,and apply the division lemma to get
356 = 6 x 59 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3602 and 6124 is 2
Notice that 2 = HCF(6,2) = HCF(356,6) = HCF(362,356) = HCF(1080,362) = HCF(2522,1080) = HCF(3602,2522) = HCF(6124,3602) .
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Frequently Asked Questions on HCF of 3602, 6124 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 3602, 6124?
Answer: HCF of 3602, 6124 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3602, 6124 using Euclid's Algorithm?
Answer: For arbitrary numbers 3602, 6124 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.