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 1367, 3837 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1367, 3837 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 1367, 3837 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 1367, 3837 is 1.
HCF(1367, 3837) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1367, 3837 is 1.
Step 1: Since 3837 > 1367, we apply the division lemma to 3837 and 1367, to get
3837 = 1367 x 2 + 1103
Step 2: Since the reminder 1367 ≠ 0, we apply division lemma to 1103 and 1367, to get
1367 = 1103 x 1 + 264
Step 3: We consider the new divisor 1103 and the new remainder 264, and apply the division lemma to get
1103 = 264 x 4 + 47
We consider the new divisor 264 and the new remainder 47,and apply the division lemma to get
264 = 47 x 5 + 29
We consider the new divisor 47 and the new remainder 29,and apply the division lemma to get
47 = 29 x 1 + 18
We consider the new divisor 29 and the new remainder 18,and apply the division lemma to get
29 = 18 x 1 + 11
We consider the new divisor 18 and the new remainder 11,and apply the division lemma to get
18 = 11 x 1 + 7
We consider the new divisor 11 and the new remainder 7,and apply the division lemma to get
11 = 7 x 1 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1367 and 3837 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(11,7) = HCF(18,11) = HCF(29,18) = HCF(47,29) = HCF(264,47) = HCF(1103,264) = HCF(1367,1103) = HCF(3837,1367) .
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 1367, 3837?
Answer: HCF of 1367, 3837 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1367, 3837 using Euclid's Algorithm?
Answer: For arbitrary numbers 1367, 3837 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.