Highest Common Factor of 605, 6610, 4121 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 605, 6610, 4121 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 605, 6610, 4121 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 605, 6610, 4121 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 605, 6610, 4121 is 1.
HCF(605, 6610, 4121) = 1
HCF of 605, 6610, 4121 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 605, 6610, 4121 is 1.
Highest Common Factor of 605,6610,4121 is 1
Step 1: Since 6610 > 605, we apply the division lemma to 6610 and 605, to get
6610 = 605 x 10 + 560
Step 2: Since the reminder 605 ≠ 0, we apply division lemma to 560 and 605, to get
605 = 560 x 1 + 45
Step 3: We consider the new divisor 560 and the new remainder 45, and apply the division lemma to get
560 = 45 x 12 + 20
We consider the new divisor 45 and the new remainder 20,and apply the division lemma to get
45 = 20 x 2 + 5
We consider the new divisor 20 and the new remainder 5,and apply the division lemma to get
20 = 5 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 605 and 6610 is 5
Notice that 5 = HCF(20,5) = HCF(45,20) = HCF(560,45) = HCF(605,560) = HCF(6610,605) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 4121 > 5, we apply the division lemma to 4121 and 5, to get
4121 = 5 x 824 + 1
Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 1 and 5, to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5 and 4121 is 1
Notice that 1 = HCF(5,1) = HCF(4121,5) .
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Frequently Asked Questions on HCF of 605, 6610, 4121 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 605, 6610, 4121?
Answer: HCF of 605, 6610, 4121 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 605, 6610, 4121 using Euclid's Algorithm?
Answer: For arbitrary numbers 605, 6610, 4121 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.