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 2921, 8923 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2921, 8923 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 2921, 8923 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 2921, 8923 is 1.
HCF(2921, 8923) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2921, 8923 is 1.
Step 1: Since 8923 > 2921, we apply the division lemma to 8923 and 2921, to get
8923 = 2921 x 3 + 160
Step 2: Since the reminder 2921 ≠ 0, we apply division lemma to 160 and 2921, to get
2921 = 160 x 18 + 41
Step 3: We consider the new divisor 160 and the new remainder 41, and apply the division lemma to get
160 = 41 x 3 + 37
We consider the new divisor 41 and the new remainder 37,and apply the division lemma to get
41 = 37 x 1 + 4
We consider the new divisor 37 and the new remainder 4,and apply the division lemma to get
37 = 4 x 9 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2921 and 8923 is 1
Notice that 1 = HCF(4,1) = HCF(37,4) = HCF(41,37) = HCF(160,41) = HCF(2921,160) = HCF(8923,2921) .
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 2921, 8923?
Answer: HCF of 2921, 8923 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2921, 8923 using Euclid's Algorithm?
Answer: For arbitrary numbers 2921, 8923 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.