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 3773, 2680, 83101 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3773, 2680, 83101 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 3773, 2680, 83101 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 3773, 2680, 83101 is 1.
HCF(3773, 2680, 83101) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3773, 2680, 83101 is 1.
Step 1: Since 3773 > 2680, we apply the division lemma to 3773 and 2680, to get
3773 = 2680 x 1 + 1093
Step 2: Since the reminder 2680 ≠ 0, we apply division lemma to 1093 and 2680, to get
2680 = 1093 x 2 + 494
Step 3: We consider the new divisor 1093 and the new remainder 494, and apply the division lemma to get
1093 = 494 x 2 + 105
We consider the new divisor 494 and the new remainder 105,and apply the division lemma to get
494 = 105 x 4 + 74
We consider the new divisor 105 and the new remainder 74,and apply the division lemma to get
105 = 74 x 1 + 31
We consider the new divisor 74 and the new remainder 31,and apply the division lemma to get
74 = 31 x 2 + 12
We consider the new divisor 31 and the new remainder 12,and apply the division lemma to get
31 = 12 x 2 + 7
We consider the new divisor 12 and the new remainder 7,and apply the division lemma to get
12 = 7 x 1 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3773 and 2680 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(12,7) = HCF(31,12) = HCF(74,31) = HCF(105,74) = HCF(494,105) = HCF(1093,494) = HCF(2680,1093) = HCF(3773,2680) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 83101 > 1, we apply the division lemma to 83101 and 1, to get
83101 = 1 x 83101 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 83101 is 1
Notice that 1 = HCF(83101,1) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 3773, 2680, 83101?
Answer: HCF of 3773, 2680, 83101 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3773, 2680, 83101 using Euclid's Algorithm?
Answer: For arbitrary numbers 3773, 2680, 83101 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.