Highest Common Factor of 720, 7321 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 720, 7321 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 720, 7321 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 720, 7321 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 720, 7321 is 1.
HCF(720, 7321) = 1
HCF of 720, 7321 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 720, 7321 is 1.
Highest Common Factor of 720,7321 is 1
Step 1: Since 7321 > 720, we apply the division lemma to 7321 and 720, to get
7321 = 720 x 10 + 121
Step 2: Since the reminder 720 ≠ 0, we apply division lemma to 121 and 720, to get
720 = 121 x 5 + 115
Step 3: We consider the new divisor 121 and the new remainder 115, and apply the division lemma to get
121 = 115 x 1 + 6
We consider the new divisor 115 and the new remainder 6,and apply the division lemma to get
115 = 6 x 19 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 720 and 7321 is 1
Notice that 1 = HCF(6,1) = HCF(115,6) = HCF(121,115) = HCF(720,121) = HCF(7321,720) .
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Frequently Asked Questions on HCF of 720, 7321 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 720, 7321?
Answer: HCF of 720, 7321 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 720, 7321 using Euclid's Algorithm?
Answer: For arbitrary numbers 720, 7321 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.