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 8107, 5364 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8107, 5364 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 8107, 5364 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 8107, 5364 is 1.
HCF(8107, 5364) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8107, 5364 is 1.
Step 1: Since 8107 > 5364, we apply the division lemma to 8107 and 5364, to get
8107 = 5364 x 1 + 2743
Step 2: Since the reminder 5364 ≠ 0, we apply division lemma to 2743 and 5364, to get
5364 = 2743 x 1 + 2621
Step 3: We consider the new divisor 2743 and the new remainder 2621, and apply the division lemma to get
2743 = 2621 x 1 + 122
We consider the new divisor 2621 and the new remainder 122,and apply the division lemma to get
2621 = 122 x 21 + 59
We consider the new divisor 122 and the new remainder 59,and apply the division lemma to get
122 = 59 x 2 + 4
We consider the new divisor 59 and the new remainder 4,and apply the division lemma to get
59 = 4 x 14 + 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 8107 and 5364 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(59,4) = HCF(122,59) = HCF(2621,122) = HCF(2743,2621) = HCF(5364,2743) = HCF(8107,5364) .
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 8107, 5364?
Answer: HCF of 8107, 5364 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8107, 5364 using Euclid's Algorithm?
Answer: For arbitrary numbers 8107, 5364 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.