Highest Common Factor of 2297, 6844 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 2297, 6844 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2297, 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 2297, 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 2297, 6844 is 1.
HCF(2297, 6844) = 1
HCF of 2297, 6844 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2297, 6844 is 1.
Highest Common Factor of 2297,6844 is 1
Step 1: Since 6844 > 2297, we apply the division lemma to 6844 and 2297, to get
6844 = 2297 x 2 + 2250
Step 2: Since the reminder 2297 ≠ 0, we apply division lemma to 2250 and 2297, to get
2297 = 2250 x 1 + 47
Step 3: We consider the new divisor 2250 and the new remainder 47, and apply the division lemma to get
2250 = 47 x 47 + 41
We consider the new divisor 47 and the new remainder 41,and apply the division lemma to get
47 = 41 x 1 + 6
We consider the new divisor 41 and the new remainder 6,and apply the division lemma to get
41 = 6 x 6 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2297 and 6844 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(41,6) = HCF(47,41) = HCF(2250,47) = HCF(2297,2250) = HCF(6844,2297) .
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Frequently Asked Questions on HCF of 2297, 6844 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 2297, 6844?
Answer: HCF of 2297, 6844 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2297, 6844 using Euclid's Algorithm?
Answer: For arbitrary numbers 2297, 6844 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.