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, 22279 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 681, 22279 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 681, 22279 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, 22279 is 1.
HCF(681, 22279) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 681, 22279 is 1.
Step 1: Since 22279 > 681, we apply the division lemma to 22279 and 681, to get
22279 = 681 x 32 + 487
Step 2: Since the reminder 681 ≠ 0, we apply division lemma to 487 and 681, to get
681 = 487 x 1 + 194
Step 3: We consider the new divisor 487 and the new remainder 194, and apply the division lemma to get
487 = 194 x 2 + 99
We consider the new divisor 194 and the new remainder 99,and apply the division lemma to get
194 = 99 x 1 + 95
We consider the new divisor 99 and the new remainder 95,and apply the division lemma to get
99 = 95 x 1 + 4
We consider the new divisor 95 and the new remainder 4,and apply the division lemma to get
95 = 4 x 23 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 681 and 22279 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(95,4) = HCF(99,95) = HCF(194,99) = HCF(487,194) = HCF(681,487) = HCF(22279,681) .
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 681, 22279?
Answer: HCF of 681, 22279 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 681, 22279 using Euclid's Algorithm?
Answer: For arbitrary numbers 681, 22279 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.