Highest Common Factor of 4108, 2426 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 4108, 2426 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4108, 2426 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 4108, 2426 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 4108, 2426 is 2.
HCF(4108, 2426) = 2
HCF of 4108, 2426 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4108, 2426 is 2.
Highest Common Factor of 4108,2426 is 2
Step 1: Since 4108 > 2426, we apply the division lemma to 4108 and 2426, to get
4108 = 2426 x 1 + 1682
Step 2: Since the reminder 2426 ≠ 0, we apply division lemma to 1682 and 2426, to get
2426 = 1682 x 1 + 744
Step 3: We consider the new divisor 1682 and the new remainder 744, and apply the division lemma to get
1682 = 744 x 2 + 194
We consider the new divisor 744 and the new remainder 194,and apply the division lemma to get
744 = 194 x 3 + 162
We consider the new divisor 194 and the new remainder 162,and apply the division lemma to get
194 = 162 x 1 + 32
We consider the new divisor 162 and the new remainder 32,and apply the division lemma to get
162 = 32 x 5 + 2
We consider the new divisor 32 and the new remainder 2,and apply the division lemma to get
32 = 2 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4108 and 2426 is 2
Notice that 2 = HCF(32,2) = HCF(162,32) = HCF(194,162) = HCF(744,194) = HCF(1682,744) = HCF(2426,1682) = HCF(4108,2426) .
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Frequently Asked Questions on HCF of 4108, 2426 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 4108, 2426?
Answer: HCF of 4108, 2426 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4108, 2426 using Euclid's Algorithm?
Answer: For arbitrary numbers 4108, 2426 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.