Highest Common Factor of 3306, 7417 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 3306, 7417 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3306, 7417 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 3306, 7417 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 3306, 7417 is 1.
HCF(3306, 7417) = 1
HCF of 3306, 7417 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3306, 7417 is 1.
Highest Common Factor of 3306,7417 is 1
Step 1: Since 7417 > 3306, we apply the division lemma to 7417 and 3306, to get
7417 = 3306 x 2 + 805
Step 2: Since the reminder 3306 ≠ 0, we apply division lemma to 805 and 3306, to get
3306 = 805 x 4 + 86
Step 3: We consider the new divisor 805 and the new remainder 86, and apply the division lemma to get
805 = 86 x 9 + 31
We consider the new divisor 86 and the new remainder 31,and apply the division lemma to get
86 = 31 x 2 + 24
We consider the new divisor 31 and the new remainder 24,and apply the division lemma to get
31 = 24 x 1 + 7
We consider the new divisor 24 and the new remainder 7,and apply the division lemma to get
24 = 7 x 3 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3306 and 7417 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(24,7) = HCF(31,24) = HCF(86,31) = HCF(805,86) = HCF(3306,805) = HCF(7417,3306) .
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Frequently Asked Questions on HCF of 3306, 7417 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 3306, 7417?
Answer: HCF of 3306, 7417 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3306, 7417 using Euclid's Algorithm?
Answer: For arbitrary numbers 3306, 7417 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
