Highest Common Factor of 7366, 3696 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 7366, 3696 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7366, 3696 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 7366, 3696 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 7366, 3696 is 2.
HCF(7366, 3696) = 2
HCF of 7366, 3696 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7366, 3696 is 2.
Highest Common Factor of 7366,3696 is 2
Step 1: Since 7366 > 3696, we apply the division lemma to 7366 and 3696, to get
7366 = 3696 x 1 + 3670
Step 2: Since the reminder 3696 ≠ 0, we apply division lemma to 3670 and 3696, to get
3696 = 3670 x 1 + 26
Step 3: We consider the new divisor 3670 and the new remainder 26, and apply the division lemma to get
3670 = 26 x 141 + 4
We consider the new divisor 26 and the new remainder 4,and apply the division lemma to get
26 = 4 x 6 + 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 7366 and 3696 is 2
Notice that 2 = HCF(4,2) = HCF(26,4) = HCF(3670,26) = HCF(3696,3670) = HCF(7366,3696) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 7366, 3696 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 7366, 3696?
Answer: HCF of 7366, 3696 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7366, 3696 using Euclid's Algorithm?
Answer: For arbitrary numbers 7366, 3696 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.