Highest Common Factor of 830, 605, 95 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 830, 605, 95 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 830, 605, 95 is 5 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 830, 605, 95 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 830, 605, 95 is 5.
HCF(830, 605, 95) = 5
HCF of 830, 605, 95 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 830, 605, 95 is 5.
Highest Common Factor of 830,605,95 is 5
Step 1: Since 830 > 605, we apply the division lemma to 830 and 605, to get
830 = 605 x 1 + 225
Step 2: Since the reminder 605 ≠ 0, we apply division lemma to 225 and 605, to get
605 = 225 x 2 + 155
Step 3: We consider the new divisor 225 and the new remainder 155, and apply the division lemma to get
225 = 155 x 1 + 70
We consider the new divisor 155 and the new remainder 70,and apply the division lemma to get
155 = 70 x 2 + 15
We consider the new divisor 70 and the new remainder 15,and apply the division lemma to get
70 = 15 x 4 + 10
We consider the new divisor 15 and the new remainder 10,and apply the division lemma to get
15 = 10 x 1 + 5
We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get
10 = 5 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 830 and 605 is 5
Notice that 5 = HCF(10,5) = HCF(15,10) = HCF(70,15) = HCF(155,70) = HCF(225,155) = HCF(605,225) = HCF(830,605) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 95 > 5, we apply the division lemma to 95 and 5, to get
95 = 5 x 19 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 5 and 95 is 5
Notice that 5 = HCF(95,5) .
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Frequently Asked Questions on HCF of 830, 605, 95 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 830, 605, 95?
Answer: HCF of 830, 605, 95 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 830, 605, 95 using Euclid's Algorithm?
Answer: For arbitrary numbers 830, 605, 95 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.