Highest Common Factor of 3030, 8179 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 3030, 8179 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3030, 8179 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 3030, 8179 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 3030, 8179 is 1.
HCF(3030, 8179) = 1
HCF of 3030, 8179 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3030, 8179 is 1.
Highest Common Factor of 3030,8179 is 1
Step 1: Since 8179 > 3030, we apply the division lemma to 8179 and 3030, to get
8179 = 3030 x 2 + 2119
Step 2: Since the reminder 3030 ≠ 0, we apply division lemma to 2119 and 3030, to get
3030 = 2119 x 1 + 911
Step 3: We consider the new divisor 2119 and the new remainder 911, and apply the division lemma to get
2119 = 911 x 2 + 297
We consider the new divisor 911 and the new remainder 297,and apply the division lemma to get
911 = 297 x 3 + 20
We consider the new divisor 297 and the new remainder 20,and apply the division lemma to get
297 = 20 x 14 + 17
We consider the new divisor 20 and the new remainder 17,and apply the division lemma to get
20 = 17 x 1 + 3
We consider the new divisor 17 and the new remainder 3,and apply the division lemma to get
17 = 3 x 5 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3030 and 8179 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(17,3) = HCF(20,17) = HCF(297,20) = HCF(911,297) = HCF(2119,911) = HCF(3030,2119) = HCF(8179,3030) .
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Frequently Asked Questions on HCF of 3030, 8179 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 3030, 8179?
Answer: HCF of 3030, 8179 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3030, 8179 using Euclid's Algorithm?
Answer: For arbitrary numbers 3030, 8179 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.