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, 9726 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3562, 9726 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, 9726 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, 9726 is 2.
HCF(3562, 9726) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3562, 9726 is 2.
Step 1: Since 9726 > 3562, we apply the division lemma to 9726 and 3562, to get
9726 = 3562 x 2 + 2602
Step 2: Since the reminder 3562 ≠ 0, we apply division lemma to 2602 and 3562, to get
3562 = 2602 x 1 + 960
Step 3: We consider the new divisor 2602 and the new remainder 960, and apply the division lemma to get
2602 = 960 x 2 + 682
We consider the new divisor 960 and the new remainder 682,and apply the division lemma to get
960 = 682 x 1 + 278
We consider the new divisor 682 and the new remainder 278,and apply the division lemma to get
682 = 278 x 2 + 126
We consider the new divisor 278 and the new remainder 126,and apply the division lemma to get
278 = 126 x 2 + 26
We consider the new divisor 126 and the new remainder 26,and apply the division lemma to get
126 = 26 x 4 + 22
We consider the new divisor 26 and the new remainder 22,and apply the division lemma to get
26 = 22 x 1 + 4
We consider the new divisor 22 and the new remainder 4,and apply the division lemma to get
22 = 4 x 5 + 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 9726 is 2
Notice that 2 = HCF(4,2) = HCF(22,4) = HCF(26,22) = HCF(126,26) = HCF(278,126) = HCF(682,278) = HCF(960,682) = HCF(2602,960) = HCF(3562,2602) = HCF(9726,3562) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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, 9726?
Answer: HCF of 3562, 9726 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3562, 9726 using Euclid's Algorithm?
Answer: For arbitrary numbers 3562, 9726 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.