Highest Common Factor of 681, 5211 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 681, 5211 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 681, 5211 is 3 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 681, 5211 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 681, 5211 is 3.
HCF(681, 5211) = 3
HCF of 681, 5211 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 681, 5211 is 3.
Highest Common Factor of 681,5211 is 3
Step 1: Since 5211 > 681, we apply the division lemma to 5211 and 681, to get
5211 = 681 x 7 + 444
Step 2: Since the reminder 681 ≠ 0, we apply division lemma to 444 and 681, to get
681 = 444 x 1 + 237
Step 3: We consider the new divisor 444 and the new remainder 237, and apply the division lemma to get
444 = 237 x 1 + 207
We consider the new divisor 237 and the new remainder 207,and apply the division lemma to get
237 = 207 x 1 + 30
We consider the new divisor 207 and the new remainder 30,and apply the division lemma to get
207 = 30 x 6 + 27
We consider the new divisor 30 and the new remainder 27,and apply the division lemma to get
30 = 27 x 1 + 3
We consider the new divisor 27 and the new remainder 3,and apply the division lemma to get
27 = 3 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 681 and 5211 is 3
Notice that 3 = HCF(27,3) = HCF(30,27) = HCF(207,30) = HCF(237,207) = HCF(444,237) = HCF(681,444) = HCF(5211,681) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 681, 5211 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 681, 5211?
Answer: HCF of 681, 5211 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 681, 5211 using Euclid's Algorithm?
Answer: For arbitrary numbers 681, 5211 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.