Highest Common Factor of 4136, 2368 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 4136, 2368 i.e. 8 the largest integer that leaves a remainder zero for all numbers.
HCF of 4136, 2368 is 8 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 4136, 2368 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 4136, 2368 is 8.
HCF(4136, 2368) = 8
HCF of 4136, 2368 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4136, 2368 is 8.
Highest Common Factor of 4136,2368 is 8
Step 1: Since 4136 > 2368, we apply the division lemma to 4136 and 2368, to get
4136 = 2368 x 1 + 1768
Step 2: Since the reminder 2368 ≠ 0, we apply division lemma to 1768 and 2368, to get
2368 = 1768 x 1 + 600
Step 3: We consider the new divisor 1768 and the new remainder 600, and apply the division lemma to get
1768 = 600 x 2 + 568
We consider the new divisor 600 and the new remainder 568,and apply the division lemma to get
600 = 568 x 1 + 32
We consider the new divisor 568 and the new remainder 32,and apply the division lemma to get
568 = 32 x 17 + 24
We consider the new divisor 32 and the new remainder 24,and apply the division lemma to get
32 = 24 x 1 + 8
We consider the new divisor 24 and the new remainder 8,and apply the division lemma to get
24 = 8 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 4136 and 2368 is 8
Notice that 8 = HCF(24,8) = HCF(32,24) = HCF(568,32) = HCF(600,568) = HCF(1768,600) = HCF(2368,1768) = HCF(4136,2368) .
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Frequently Asked Questions on HCF of 4136, 2368 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 4136, 2368?
Answer: HCF of 4136, 2368 is 8 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4136, 2368 using Euclid's Algorithm?
Answer: For arbitrary numbers 4136, 2368 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.