Highest Common Factor of 3562, 4260 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 3562, 4260 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3562, 4260 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 3562, 4260 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 3562, 4260 is 2.
HCF(3562, 4260) = 2
HCF of 3562, 4260 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3562, 4260 is 2.
Highest Common Factor of 3562,4260 is 2
Step 1: Since 4260 > 3562, we apply the division lemma to 4260 and 3562, to get
4260 = 3562 x 1 + 698
Step 2: Since the reminder 3562 ≠ 0, we apply division lemma to 698 and 3562, to get
3562 = 698 x 5 + 72
Step 3: We consider the new divisor 698 and the new remainder 72, and apply the division lemma to get
698 = 72 x 9 + 50
We consider the new divisor 72 and the new remainder 50,and apply the division lemma to get
72 = 50 x 1 + 22
We consider the new divisor 50 and the new remainder 22,and apply the division lemma to get
50 = 22 x 2 + 6
We consider the new divisor 22 and the new remainder 6,and apply the division lemma to get
22 = 6 x 3 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3562 and 4260 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(22,6) = HCF(50,22) = HCF(72,50) = HCF(698,72) = HCF(3562,698) = HCF(4260,3562) .
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Frequently Asked Questions on HCF of 3562, 4260 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 3562, 4260?
Answer: HCF of 3562, 4260 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3562, 4260 using Euclid's Algorithm?
Answer: For arbitrary numbers 3562, 4260 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
