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 6293, 9937 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6293, 9937 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 6293, 9937 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 6293, 9937 is 1.
HCF(6293, 9937) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6293, 9937 is 1.
Step 1: Since 9937 > 6293, we apply the division lemma to 9937 and 6293, to get
9937 = 6293 x 1 + 3644
Step 2: Since the reminder 6293 ≠ 0, we apply division lemma to 3644 and 6293, to get
6293 = 3644 x 1 + 2649
Step 3: We consider the new divisor 3644 and the new remainder 2649, and apply the division lemma to get
3644 = 2649 x 1 + 995
We consider the new divisor 2649 and the new remainder 995,and apply the division lemma to get
2649 = 995 x 2 + 659
We consider the new divisor 995 and the new remainder 659,and apply the division lemma to get
995 = 659 x 1 + 336
We consider the new divisor 659 and the new remainder 336,and apply the division lemma to get
659 = 336 x 1 + 323
We consider the new divisor 336 and the new remainder 323,and apply the division lemma to get
336 = 323 x 1 + 13
We consider the new divisor 323 and the new remainder 13,and apply the division lemma to get
323 = 13 x 24 + 11
We consider the new divisor 13 and the new remainder 11,and apply the division lemma to get
13 = 11 x 1 + 2
We consider the new divisor 11 and the new remainder 2,and apply the division lemma to get
11 = 2 x 5 + 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 6293 and 9937 is 1
Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(13,11) = HCF(323,13) = HCF(336,323) = HCF(659,336) = HCF(995,659) = HCF(2649,995) = HCF(3644,2649) = HCF(6293,3644) = HCF(9937,6293) .
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 6293, 9937?
Answer: HCF of 6293, 9937 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6293, 9937 using Euclid's Algorithm?
Answer: For arbitrary numbers 6293, 9937 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.