Highest Common Factor of 885, 6133 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 885, 6133 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 885, 6133 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 885, 6133 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 885, 6133 is 1.
HCF(885, 6133) = 1
HCF of 885, 6133 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 885, 6133 is 1.
Highest Common Factor of 885,6133 is 1
Step 1: Since 6133 > 885, we apply the division lemma to 6133 and 885, to get
6133 = 885 x 6 + 823
Step 2: Since the reminder 885 ≠ 0, we apply division lemma to 823 and 885, to get
885 = 823 x 1 + 62
Step 3: We consider the new divisor 823 and the new remainder 62, and apply the division lemma to get
823 = 62 x 13 + 17
We consider the new divisor 62 and the new remainder 17,and apply the division lemma to get
62 = 17 x 3 + 11
We consider the new divisor 17 and the new remainder 11,and apply the division lemma to get
17 = 11 x 1 + 6
We consider the new divisor 11 and the new remainder 6,and apply the division lemma to get
11 = 6 x 1 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 885 and 6133 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(17,11) = HCF(62,17) = HCF(823,62) = HCF(885,823) = HCF(6133,885) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 885, 6133 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 885, 6133?
Answer: HCF of 885, 6133 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 885, 6133 using Euclid's Algorithm?
Answer: For arbitrary numbers 885, 6133 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.