Highest Common Factor of 2368, 5446 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 2368, 5446 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 2368, 5446 is 2 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 2368, 5446 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 2368, 5446 is 2.
HCF(2368, 5446) = 2
HCF of 2368, 5446 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2368, 5446 is 2.
Highest Common Factor of 2368,5446 is 2
Step 1: Since 5446 > 2368, we apply the division lemma to 5446 and 2368, to get
5446 = 2368 x 2 + 710
Step 2: Since the reminder 2368 ≠ 0, we apply division lemma to 710 and 2368, to get
2368 = 710 x 3 + 238
Step 3: We consider the new divisor 710 and the new remainder 238, and apply the division lemma to get
710 = 238 x 2 + 234
We consider the new divisor 238 and the new remainder 234,and apply the division lemma to get
238 = 234 x 1 + 4
We consider the new divisor 234 and the new remainder 4,and apply the division lemma to get
234 = 4 x 58 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2368 and 5446 is 2
Notice that 2 = HCF(4,2) = HCF(234,4) = HCF(238,234) = HCF(710,238) = HCF(2368,710) = HCF(5446,2368) .
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Frequently Asked Questions on HCF of 2368, 5446 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 2368, 5446?
Answer: HCF of 2368, 5446 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2368, 5446 using Euclid's Algorithm?
Answer: For arbitrary numbers 2368, 5446 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.