Highest Common Factor of 3721, 9810 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 3721, 9810 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3721, 9810 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 3721, 9810 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 3721, 9810 is 1.
HCF(3721, 9810) = 1
HCF of 3721, 9810 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3721, 9810 is 1.
Highest Common Factor of 3721,9810 is 1
Step 1: Since 9810 > 3721, we apply the division lemma to 9810 and 3721, to get
9810 = 3721 x 2 + 2368
Step 2: Since the reminder 3721 ≠ 0, we apply division lemma to 2368 and 3721, to get
3721 = 2368 x 1 + 1353
Step 3: We consider the new divisor 2368 and the new remainder 1353, and apply the division lemma to get
2368 = 1353 x 1 + 1015
We consider the new divisor 1353 and the new remainder 1015,and apply the division lemma to get
1353 = 1015 x 1 + 338
We consider the new divisor 1015 and the new remainder 338,and apply the division lemma to get
1015 = 338 x 3 + 1
We consider the new divisor 338 and the new remainder 1,and apply the division lemma to get
338 = 1 x 338 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3721 and 9810 is 1
Notice that 1 = HCF(338,1) = HCF(1015,338) = HCF(1353,1015) = HCF(2368,1353) = HCF(3721,2368) = HCF(9810,3721) .
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Frequently Asked Questions on HCF of 3721, 9810 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 3721, 9810?
Answer: HCF of 3721, 9810 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3721, 9810 using Euclid's Algorithm?
Answer: For arbitrary numbers 3721, 9810 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.