Highest Common Factor of 3346, 4615 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 3346, 4615 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3346, 4615 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 3346, 4615 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 3346, 4615 is 1.
HCF(3346, 4615) = 1
HCF of 3346, 4615 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3346, 4615 is 1.
Highest Common Factor of 3346,4615 is 1
Step 1: Since 4615 > 3346, we apply the division lemma to 4615 and 3346, to get
4615 = 3346 x 1 + 1269
Step 2: Since the reminder 3346 ≠ 0, we apply division lemma to 1269 and 3346, to get
3346 = 1269 x 2 + 808
Step 3: We consider the new divisor 1269 and the new remainder 808, and apply the division lemma to get
1269 = 808 x 1 + 461
We consider the new divisor 808 and the new remainder 461,and apply the division lemma to get
808 = 461 x 1 + 347
We consider the new divisor 461 and the new remainder 347,and apply the division lemma to get
461 = 347 x 1 + 114
We consider the new divisor 347 and the new remainder 114,and apply the division lemma to get
347 = 114 x 3 + 5
We consider the new divisor 114 and the new remainder 5,and apply the division lemma to get
114 = 5 x 22 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3346 and 4615 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(114,5) = HCF(347,114) = HCF(461,347) = HCF(808,461) = HCF(1269,808) = HCF(3346,1269) = HCF(4615,3346) .
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Frequently Asked Questions on HCF of 3346, 4615 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 3346, 4615?
Answer: HCF of 3346, 4615 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3346, 4615 using Euclid's Algorithm?
Answer: For arbitrary numbers 3346, 4615 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.