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, 194, 218, 823 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 855, 194, 218, 823 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 855, 194, 218, 823 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, 194, 218, 823 is 1.
HCF(855, 194, 218, 823) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 855, 194, 218, 823 is 1.
Step 1: Since 855 > 194, we apply the division lemma to 855 and 194, to get
855 = 194 x 4 + 79
Step 2: Since the reminder 194 ≠ 0, we apply division lemma to 79 and 194, to get
194 = 79 x 2 + 36
Step 3: We consider the new divisor 79 and the new remainder 36, and apply the division lemma to get
79 = 36 x 2 + 7
We consider the new divisor 36 and the new remainder 7,and apply the division lemma to get
36 = 7 x 5 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 855 and 194 is 1
Notice that 1 = HCF(7,1) = HCF(36,7) = HCF(79,36) = HCF(194,79) = HCF(855,194) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 218 > 1, we apply the division lemma to 218 and 1, to get
218 = 1 x 218 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 218 is 1
Notice that 1 = HCF(218,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 823 > 1, we apply the division lemma to 823 and 1, to get
823 = 1 x 823 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 823 is 1
Notice that 1 = HCF(823,1) .
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 855, 194, 218, 823?
Answer: HCF of 855, 194, 218, 823 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 855, 194, 218, 823 using Euclid's Algorithm?
Answer: For arbitrary numbers 855, 194, 218, 823 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.