Highest Common Factor of 4719, 7180 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 4719, 7180 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4719, 7180 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 4719, 7180 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 4719, 7180 is 1.
HCF(4719, 7180) = 1
HCF of 4719, 7180 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4719, 7180 is 1.
Highest Common Factor of 4719,7180 is 1
Step 1: Since 7180 > 4719, we apply the division lemma to 7180 and 4719, to get
7180 = 4719 x 1 + 2461
Step 2: Since the reminder 4719 ≠ 0, we apply division lemma to 2461 and 4719, to get
4719 = 2461 x 1 + 2258
Step 3: We consider the new divisor 2461 and the new remainder 2258, and apply the division lemma to get
2461 = 2258 x 1 + 203
We consider the new divisor 2258 and the new remainder 203,and apply the division lemma to get
2258 = 203 x 11 + 25
We consider the new divisor 203 and the new remainder 25,and apply the division lemma to get
203 = 25 x 8 + 3
We consider the new divisor 25 and the new remainder 3,and apply the division lemma to get
25 = 3 x 8 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4719 and 7180 is 1
Notice that 1 = HCF(3,1) = HCF(25,3) = HCF(203,25) = HCF(2258,203) = HCF(2461,2258) = HCF(4719,2461) = HCF(7180,4719) .
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Frequently Asked Questions on HCF of 4719, 7180 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 4719, 7180?
Answer: HCF of 4719, 7180 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4719, 7180 using Euclid's Algorithm?
Answer: For arbitrary numbers 4719, 7180 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.