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 6349, 6844 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6349, 6844 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 6349, 6844 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 6349, 6844 is 1.
HCF(6349, 6844) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6349, 6844 is 1.
Step 1: Since 6844 > 6349, we apply the division lemma to 6844 and 6349, to get
6844 = 6349 x 1 + 495
Step 2: Since the reminder 6349 ≠ 0, we apply division lemma to 495 and 6349, to get
6349 = 495 x 12 + 409
Step 3: We consider the new divisor 495 and the new remainder 409, and apply the division lemma to get
495 = 409 x 1 + 86
We consider the new divisor 409 and the new remainder 86,and apply the division lemma to get
409 = 86 x 4 + 65
We consider the new divisor 86 and the new remainder 65,and apply the division lemma to get
86 = 65 x 1 + 21
We consider the new divisor 65 and the new remainder 21,and apply the division lemma to get
65 = 21 x 3 + 2
We consider the new divisor 21 and the new remainder 2,and apply the division lemma to get
21 = 2 x 10 + 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 6349 and 6844 is 1
Notice that 1 = HCF(2,1) = HCF(21,2) = HCF(65,21) = HCF(86,65) = HCF(409,86) = HCF(495,409) = HCF(6349,495) = HCF(6844,6349) .
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 6349, 6844?
Answer: HCF of 6349, 6844 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6349, 6844 using Euclid's Algorithm?
Answer: For arbitrary numbers 6349, 6844 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.