Highest Common Factor of 4614, 6682, 80046 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 4614, 6682, 80046 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4614, 6682, 80046 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 4614, 6682, 80046 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 4614, 6682, 80046 is 2.
HCF(4614, 6682, 80046) = 2
HCF of 4614, 6682, 80046 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4614, 6682, 80046 is 2.
Highest Common Factor of 4614,6682,80046 is 2
Step 1: Since 6682 > 4614, we apply the division lemma to 6682 and 4614, to get
6682 = 4614 x 1 + 2068
Step 2: Since the reminder 4614 ≠ 0, we apply division lemma to 2068 and 4614, to get
4614 = 2068 x 2 + 478
Step 3: We consider the new divisor 2068 and the new remainder 478, and apply the division lemma to get
2068 = 478 x 4 + 156
We consider the new divisor 478 and the new remainder 156,and apply the division lemma to get
478 = 156 x 3 + 10
We consider the new divisor 156 and the new remainder 10,and apply the division lemma to get
156 = 10 x 15 + 6
We consider the new divisor 10 and the new remainder 6,and apply the division lemma to get
10 = 6 x 1 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4614 and 6682 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(10,6) = HCF(156,10) = HCF(478,156) = HCF(2068,478) = HCF(4614,2068) = HCF(6682,4614) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 80046 > 2, we apply the division lemma to 80046 and 2, to get
80046 = 2 x 40023 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 80046 is 2
Notice that 2 = HCF(80046,2) .
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Frequently Asked Questions on HCF of 4614, 6682, 80046 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 4614, 6682, 80046?
Answer: HCF of 4614, 6682, 80046 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4614, 6682, 80046 using Euclid's Algorithm?
Answer: For arbitrary numbers 4614, 6682, 80046 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
