Highest Common Factor of 3395, 4606, 27410 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 3395, 4606, 27410 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3395, 4606, 27410 is 1 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 3395, 4606, 27410 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 3395, 4606, 27410 is 1.
HCF(3395, 4606, 27410) = 1
HCF of 3395, 4606, 27410 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3395, 4606, 27410 is 1.
Highest Common Factor of 3395,4606,27410 is 1
Step 1: Since 4606 > 3395, we apply the division lemma to 4606 and 3395, to get
4606 = 3395 x 1 + 1211
Step 2: Since the reminder 3395 ≠ 0, we apply division lemma to 1211 and 3395, to get
3395 = 1211 x 2 + 973
Step 3: We consider the new divisor 1211 and the new remainder 973, and apply the division lemma to get
1211 = 973 x 1 + 238
We consider the new divisor 973 and the new remainder 238,and apply the division lemma to get
973 = 238 x 4 + 21
We consider the new divisor 238 and the new remainder 21,and apply the division lemma to get
238 = 21 x 11 + 7
We consider the new divisor 21 and the new remainder 7,and apply the division lemma to get
21 = 7 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 3395 and 4606 is 7
Notice that 7 = HCF(21,7) = HCF(238,21) = HCF(973,238) = HCF(1211,973) = HCF(3395,1211) = HCF(4606,3395) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 27410 > 7, we apply the division lemma to 27410 and 7, to get
27410 = 7 x 3915 + 5
Step 2: Since the reminder 7 ≠ 0, we apply division lemma to 5 and 7, to get
7 = 5 x 1 + 2
Step 3: We consider the new divisor 5 and the new remainder 2, and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1, and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7 and 27410 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(27410,7) .
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Frequently Asked Questions on HCF of 3395, 4606, 27410 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 3395, 4606, 27410?
Answer: HCF of 3395, 4606, 27410 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3395, 4606, 27410 using Euclid's Algorithm?
Answer: For arbitrary numbers 3395, 4606, 27410 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.