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 3769, 6362 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3769, 6362 is 1 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 3769, 6362 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 3769, 6362 is 1.
HCF(3769, 6362) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3769, 6362 is 1.
Step 1: Since 6362 > 3769, we apply the division lemma to 6362 and 3769, to get
6362 = 3769 x 1 + 2593
Step 2: Since the reminder 3769 ≠ 0, we apply division lemma to 2593 and 3769, to get
3769 = 2593 x 1 + 1176
Step 3: We consider the new divisor 2593 and the new remainder 1176, and apply the division lemma to get
2593 = 1176 x 2 + 241
We consider the new divisor 1176 and the new remainder 241,and apply the division lemma to get
1176 = 241 x 4 + 212
We consider the new divisor 241 and the new remainder 212,and apply the division lemma to get
241 = 212 x 1 + 29
We consider the new divisor 212 and the new remainder 29,and apply the division lemma to get
212 = 29 x 7 + 9
We consider the new divisor 29 and the new remainder 9,and apply the division lemma to get
29 = 9 x 3 + 2
We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get
9 = 2 x 4 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3769 and 6362 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(29,9) = HCF(212,29) = HCF(241,212) = HCF(1176,241) = HCF(2593,1176) = HCF(3769,2593) = HCF(6362,3769) .
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 3769, 6362?
Answer: HCF of 3769, 6362 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3769, 6362 using Euclid's Algorithm?
Answer: For arbitrary numbers 3769, 6362 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.