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 555, 893, 401, 36 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 555, 893, 401, 36 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 555, 893, 401, 36 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 555, 893, 401, 36 is 1.
HCF(555, 893, 401, 36) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 555, 893, 401, 36 is 1.
Step 1: Since 893 > 555, we apply the division lemma to 893 and 555, to get
893 = 555 x 1 + 338
Step 2: Since the reminder 555 ≠ 0, we apply division lemma to 338 and 555, to get
555 = 338 x 1 + 217
Step 3: We consider the new divisor 338 and the new remainder 217, and apply the division lemma to get
338 = 217 x 1 + 121
We consider the new divisor 217 and the new remainder 121,and apply the division lemma to get
217 = 121 x 1 + 96
We consider the new divisor 121 and the new remainder 96,and apply the division lemma to get
121 = 96 x 1 + 25
We consider the new divisor 96 and the new remainder 25,and apply the division lemma to get
96 = 25 x 3 + 21
We consider the new divisor 25 and the new remainder 21,and apply the division lemma to get
25 = 21 x 1 + 4
We consider the new divisor 21 and the new remainder 4,and apply the division lemma to get
21 = 4 x 5 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 555 and 893 is 1
Notice that 1 = HCF(4,1) = HCF(21,4) = HCF(25,21) = HCF(96,25) = HCF(121,96) = HCF(217,121) = HCF(338,217) = HCF(555,338) = HCF(893,555) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 401 > 1, we apply the division lemma to 401 and 1, to get
401 = 1 x 401 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 401 is 1
Notice that 1 = HCF(401,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 36 > 1, we apply the division lemma to 36 and 1, to get
36 = 1 x 36 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 36 is 1
Notice that 1 = HCF(36,1) .
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 555, 893, 401, 36?
Answer: HCF of 555, 893, 401, 36 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 555, 893, 401, 36 using Euclid's Algorithm?
Answer: For arbitrary numbers 555, 893, 401, 36 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.