Highest Common Factor of 7825, 3211 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 7825, 3211 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7825, 3211 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 7825, 3211 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 7825, 3211 is 1.
HCF(7825, 3211) = 1
HCF of 7825, 3211 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7825, 3211 is 1.
Highest Common Factor of 7825,3211 is 1
Step 1: Since 7825 > 3211, we apply the division lemma to 7825 and 3211, to get
7825 = 3211 x 2 + 1403
Step 2: Since the reminder 3211 ≠ 0, we apply division lemma to 1403 and 3211, to get
3211 = 1403 x 2 + 405
Step 3: We consider the new divisor 1403 and the new remainder 405, and apply the division lemma to get
1403 = 405 x 3 + 188
We consider the new divisor 405 and the new remainder 188,and apply the division lemma to get
405 = 188 x 2 + 29
We consider the new divisor 188 and the new remainder 29,and apply the division lemma to get
188 = 29 x 6 + 14
We consider the new divisor 29 and the new remainder 14,and apply the division lemma to get
29 = 14 x 2 + 1
We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get
14 = 1 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7825 and 3211 is 1
Notice that 1 = HCF(14,1) = HCF(29,14) = HCF(188,29) = HCF(405,188) = HCF(1403,405) = HCF(3211,1403) = HCF(7825,3211) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 7825, 3211 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 7825, 3211?
Answer: HCF of 7825, 3211 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7825, 3211 using Euclid's Algorithm?
Answer: For arbitrary numbers 7825, 3211 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.