Highest Common Factor of 730, 7771 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 730, 7771 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 730, 7771 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 730, 7771 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 730, 7771 is 1.
HCF(730, 7771) = 1
HCF of 730, 7771 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 730, 7771 is 1.
Highest Common Factor of 730,7771 is 1
Step 1: Since 7771 > 730, we apply the division lemma to 7771 and 730, to get
7771 = 730 x 10 + 471
Step 2: Since the reminder 730 ≠ 0, we apply division lemma to 471 and 730, to get
730 = 471 x 1 + 259
Step 3: We consider the new divisor 471 and the new remainder 259, and apply the division lemma to get
471 = 259 x 1 + 212
We consider the new divisor 259 and the new remainder 212,and apply the division lemma to get
259 = 212 x 1 + 47
We consider the new divisor 212 and the new remainder 47,and apply the division lemma to get
212 = 47 x 4 + 24
We consider the new divisor 47 and the new remainder 24,and apply the division lemma to get
47 = 24 x 1 + 23
We consider the new divisor 24 and the new remainder 23,and apply the division lemma to get
24 = 23 x 1 + 1
We consider the new divisor 23 and the new remainder 1,and apply the division lemma to get
23 = 1 x 23 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 730 and 7771 is 1
Notice that 1 = HCF(23,1) = HCF(24,23) = HCF(47,24) = HCF(212,47) = HCF(259,212) = HCF(471,259) = HCF(730,471) = HCF(7771,730) .
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Frequently Asked Questions on HCF of 730, 7771 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 730, 7771?
Answer: HCF of 730, 7771 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 730, 7771 using Euclid's Algorithm?
Answer: For arbitrary numbers 730, 7771 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.