Highest Common Factor of 5789, 895 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 5789, 895 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5789, 895 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 5789, 895 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 5789, 895 is 1.
HCF(5789, 895) = 1
HCF of 5789, 895 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5789, 895 is 1.
Highest Common Factor of 5789,895 is 1
Step 1: Since 5789 > 895, we apply the division lemma to 5789 and 895, to get
5789 = 895 x 6 + 419
Step 2: Since the reminder 895 ≠ 0, we apply division lemma to 419 and 895, to get
895 = 419 x 2 + 57
Step 3: We consider the new divisor 419 and the new remainder 57, and apply the division lemma to get
419 = 57 x 7 + 20
We consider the new divisor 57 and the new remainder 20,and apply the division lemma to get
57 = 20 x 2 + 17
We consider the new divisor 20 and the new remainder 17,and apply the division lemma to get
20 = 17 x 1 + 3
We consider the new divisor 17 and the new remainder 3,and apply the division lemma to get
17 = 3 x 5 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5789 and 895 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(17,3) = HCF(20,17) = HCF(57,20) = HCF(419,57) = HCF(895,419) = HCF(5789,895) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 5789, 895 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 5789, 895?
Answer: HCF of 5789, 895 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5789, 895 using Euclid's Algorithm?
Answer: For arbitrary numbers 5789, 895 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.