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 2101, 3037 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2101, 3037 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 2101, 3037 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 2101, 3037 is 1.
HCF(2101, 3037) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2101, 3037 is 1.
Step 1: Since 3037 > 2101, we apply the division lemma to 3037 and 2101, to get
3037 = 2101 x 1 + 936
Step 2: Since the reminder 2101 ≠ 0, we apply division lemma to 936 and 2101, to get
2101 = 936 x 2 + 229
Step 3: We consider the new divisor 936 and the new remainder 229, and apply the division lemma to get
936 = 229 x 4 + 20
We consider the new divisor 229 and the new remainder 20,and apply the division lemma to get
229 = 20 x 11 + 9
We consider the new divisor 20 and the new remainder 9,and apply the division lemma to get
20 = 9 x 2 + 2
We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get
9 = 2 x 4 + 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 2101 and 3037 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(20,9) = HCF(229,20) = HCF(936,229) = HCF(2101,936) = HCF(3037,2101) .
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 2101, 3037?
Answer: HCF of 2101, 3037 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2101, 3037 using Euclid's Algorithm?
Answer: For arbitrary numbers 2101, 3037 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.