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 3922, 3868 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3922, 3868 is 2 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 3922, 3868 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 3922, 3868 is 2.
HCF(3922, 3868) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3922, 3868 is 2.
Step 1: Since 3922 > 3868, we apply the division lemma to 3922 and 3868, to get
3922 = 3868 x 1 + 54
Step 2: Since the reminder 3868 ≠ 0, we apply division lemma to 54 and 3868, to get
3868 = 54 x 71 + 34
Step 3: We consider the new divisor 54 and the new remainder 34, and apply the division lemma to get
54 = 34 x 1 + 20
We consider the new divisor 34 and the new remainder 20,and apply the division lemma to get
34 = 20 x 1 + 14
We consider the new divisor 20 and the new remainder 14,and apply the division lemma to get
20 = 14 x 1 + 6
We consider the new divisor 14 and the new remainder 6,and apply the division lemma to get
14 = 6 x 2 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3922 and 3868 is 2
Notice that 2 = HCF(6,2) = HCF(14,6) = HCF(20,14) = HCF(34,20) = HCF(54,34) = HCF(3868,54) = HCF(3922,3868) .
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 3922, 3868?
Answer: HCF of 3922, 3868 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3922, 3868 using Euclid's Algorithm?
Answer: For arbitrary numbers 3922, 3868 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.