Highest Common Factor of 3398, 4244, 23854 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 3398, 4244, 23854 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3398, 4244, 23854 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 3398, 4244, 23854 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 3398, 4244, 23854 is 2.
HCF(3398, 4244, 23854) = 2
HCF of 3398, 4244, 23854 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3398, 4244, 23854 is 2.
Highest Common Factor of 3398,4244,23854 is 2
Step 1: Since 4244 > 3398, we apply the division lemma to 4244 and 3398, to get
4244 = 3398 x 1 + 846
Step 2: Since the reminder 3398 ≠ 0, we apply division lemma to 846 and 3398, to get
3398 = 846 x 4 + 14
Step 3: We consider the new divisor 846 and the new remainder 14, and apply the division lemma to get
846 = 14 x 60 + 6
We consider the new divisor 14 and the new remainder 6,and apply the division lemma to get
14 = 6 x 2 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3398 and 4244 is 2
Notice that 2 = HCF(6,2) = HCF(14,6) = HCF(846,14) = HCF(3398,846) = HCF(4244,3398) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 23854 > 2, we apply the division lemma to 23854 and 2, to get
23854 = 2 x 11927 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 23854 is 2
Notice that 2 = HCF(23854,2) .
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Frequently Asked Questions on HCF of 3398, 4244, 23854 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 3398, 4244, 23854?
Answer: HCF of 3398, 4244, 23854 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3398, 4244, 23854 using Euclid's Algorithm?
Answer: For arbitrary numbers 3398, 4244, 23854 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.