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 8622, 5245 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8622, 5245 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 8622, 5245 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 8622, 5245 is 1.
HCF(8622, 5245) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8622, 5245 is 1.
Step 1: Since 8622 > 5245, we apply the division lemma to 8622 and 5245, to get
8622 = 5245 x 1 + 3377
Step 2: Since the reminder 5245 ≠ 0, we apply division lemma to 3377 and 5245, to get
5245 = 3377 x 1 + 1868
Step 3: We consider the new divisor 3377 and the new remainder 1868, and apply the division lemma to get
3377 = 1868 x 1 + 1509
We consider the new divisor 1868 and the new remainder 1509,and apply the division lemma to get
1868 = 1509 x 1 + 359
We consider the new divisor 1509 and the new remainder 359,and apply the division lemma to get
1509 = 359 x 4 + 73
We consider the new divisor 359 and the new remainder 73,and apply the division lemma to get
359 = 73 x 4 + 67
We consider the new divisor 73 and the new remainder 67,and apply the division lemma to get
73 = 67 x 1 + 6
We consider the new divisor 67 and the new remainder 6,and apply the division lemma to get
67 = 6 x 11 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8622 and 5245 is 1
Notice that 1 = HCF(6,1) = HCF(67,6) = HCF(73,67) = HCF(359,73) = HCF(1509,359) = HCF(1868,1509) = HCF(3377,1868) = HCF(5245,3377) = HCF(8622,5245) .
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 8622, 5245?
Answer: HCF of 8622, 5245 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8622, 5245 using Euclid's Algorithm?
Answer: For arbitrary numbers 8622, 5245 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.