Highest Common Factor of 3466, 5878 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 3466, 5878 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3466, 5878 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 3466, 5878 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 3466, 5878 is 2.
HCF(3466, 5878) = 2
HCF of 3466, 5878 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3466, 5878 is 2.
Highest Common Factor of 3466,5878 is 2
Step 1: Since 5878 > 3466, we apply the division lemma to 5878 and 3466, to get
5878 = 3466 x 1 + 2412
Step 2: Since the reminder 3466 ≠ 0, we apply division lemma to 2412 and 3466, to get
3466 = 2412 x 1 + 1054
Step 3: We consider the new divisor 2412 and the new remainder 1054, and apply the division lemma to get
2412 = 1054 x 2 + 304
We consider the new divisor 1054 and the new remainder 304,and apply the division lemma to get
1054 = 304 x 3 + 142
We consider the new divisor 304 and the new remainder 142,and apply the division lemma to get
304 = 142 x 2 + 20
We consider the new divisor 142 and the new remainder 20,and apply the division lemma to get
142 = 20 x 7 + 2
We consider the new divisor 20 and the new remainder 2,and apply the division lemma to get
20 = 2 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3466 and 5878 is 2
Notice that 2 = HCF(20,2) = HCF(142,20) = HCF(304,142) = HCF(1054,304) = HCF(2412,1054) = HCF(3466,2412) = HCF(5878,3466) .
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Frequently Asked Questions on HCF of 3466, 5878 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 3466, 5878?
Answer: HCF of 3466, 5878 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3466, 5878 using Euclid's Algorithm?
Answer: For arbitrary numbers 3466, 5878 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.