Highest Common Factor of 7721, 8121 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 7721, 8121 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7721, 8121 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 7721, 8121 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 7721, 8121 is 1.
HCF(7721, 8121) = 1
HCF of 7721, 8121 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7721, 8121 is 1.
Highest Common Factor of 7721,8121 is 1
Step 1: Since 8121 > 7721, we apply the division lemma to 8121 and 7721, to get
8121 = 7721 x 1 + 400
Step 2: Since the reminder 7721 ≠ 0, we apply division lemma to 400 and 7721, to get
7721 = 400 x 19 + 121
Step 3: We consider the new divisor 400 and the new remainder 121, and apply the division lemma to get
400 = 121 x 3 + 37
We consider the new divisor 121 and the new remainder 37,and apply the division lemma to get
121 = 37 x 3 + 10
We consider the new divisor 37 and the new remainder 10,and apply the division lemma to get
37 = 10 x 3 + 7
We consider the new divisor 10 and the new remainder 7,and apply the division lemma to get
10 = 7 x 1 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 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 7721 and 8121 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(37,10) = HCF(121,37) = HCF(400,121) = HCF(7721,400) = HCF(8121,7721) .
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Frequently Asked Questions on HCF of 7721, 8121 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 7721, 8121?
Answer: HCF of 7721, 8121 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7721, 8121 using Euclid's Algorithm?
Answer: For arbitrary numbers 7721, 8121 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.