Highest Common Factor of 855, 5985, 1827 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 855, 5985, 1827 i.e. 9 the largest integer that leaves a remainder zero for all numbers.
HCF of 855, 5985, 1827 is 9 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 855, 5985, 1827 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 855, 5985, 1827 is 9.
HCF(855, 5985, 1827) = 9
HCF of 855, 5985, 1827 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 855, 5985, 1827 is 9.
Highest Common Factor of 855,5985,1827 is 9
Step 1: Since 5985 > 855, we apply the division lemma to 5985 and 855, to get
5985 = 855 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 855, the HCF of 855 and 5985 is 855
Notice that 855 = HCF(5985,855) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 1827 > 855, we apply the division lemma to 1827 and 855, to get
1827 = 855 x 2 + 117
Step 2: Since the reminder 855 ≠ 0, we apply division lemma to 117 and 855, to get
855 = 117 x 7 + 36
Step 3: We consider the new divisor 117 and the new remainder 36, and apply the division lemma to get
117 = 36 x 3 + 9
We consider the new divisor 36 and the new remainder 9, and apply the division lemma to get
36 = 9 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 855 and 1827 is 9
Notice that 9 = HCF(36,9) = HCF(117,36) = HCF(855,117) = HCF(1827,855) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 855, 5985, 1827 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 855, 5985, 1827?
Answer: HCF of 855, 5985, 1827 is 9 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 855, 5985, 1827 using Euclid's Algorithm?
Answer: For arbitrary numbers 855, 5985, 1827 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.