Highest Common Factor of 306, 7603, 1681 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 306, 7603, 1681 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 306, 7603, 1681 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 306, 7603, 1681 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 306, 7603, 1681 is 1.
HCF(306, 7603, 1681) = 1
HCF of 306, 7603, 1681 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 306, 7603, 1681 is 1.
Highest Common Factor of 306,7603,1681 is 1
Step 1: Since 7603 > 306, we apply the division lemma to 7603 and 306, to get
7603 = 306 x 24 + 259
Step 2: Since the reminder 306 ≠ 0, we apply division lemma to 259 and 306, to get
306 = 259 x 1 + 47
Step 3: We consider the new divisor 259 and the new remainder 47, and apply the division lemma to get
259 = 47 x 5 + 24
We consider the new divisor 47 and the new remainder 24,and apply the division lemma to get
47 = 24 x 1 + 23
We consider the new divisor 24 and the new remainder 23,and apply the division lemma to get
24 = 23 x 1 + 1
We consider the new divisor 23 and the new remainder 1,and apply the division lemma to get
23 = 1 x 23 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 306 and 7603 is 1
Notice that 1 = HCF(23,1) = HCF(24,23) = HCF(47,24) = HCF(259,47) = HCF(306,259) = HCF(7603,306) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 1681 > 1, we apply the division lemma to 1681 and 1, to get
1681 = 1 x 1681 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 1681 is 1
Notice that 1 = HCF(1681,1) .
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Frequently Asked Questions on HCF of 306, 7603, 1681 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 306, 7603, 1681?
Answer: HCF of 306, 7603, 1681 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 306, 7603, 1681 using Euclid's Algorithm?
Answer: For arbitrary numbers 306, 7603, 1681 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.