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 553, 636, 38, 803 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 553, 636, 38, 803 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 553, 636, 38, 803 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 553, 636, 38, 803 is 1.
HCF(553, 636, 38, 803) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 553, 636, 38, 803 is 1.
Step 1: Since 636 > 553, we apply the division lemma to 636 and 553, to get
636 = 553 x 1 + 83
Step 2: Since the reminder 553 ≠ 0, we apply division lemma to 83 and 553, to get
553 = 83 x 6 + 55
Step 3: We consider the new divisor 83 and the new remainder 55, and apply the division lemma to get
83 = 55 x 1 + 28
We consider the new divisor 55 and the new remainder 28,and apply the division lemma to get
55 = 28 x 1 + 27
We consider the new divisor 28 and the new remainder 27,and apply the division lemma to get
28 = 27 x 1 + 1
We consider the new divisor 27 and the new remainder 1,and apply the division lemma to get
27 = 1 x 27 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 553 and 636 is 1
Notice that 1 = HCF(27,1) = HCF(28,27) = HCF(55,28) = HCF(83,55) = HCF(553,83) = HCF(636,553) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 38 > 1, we apply the division lemma to 38 and 1, to get
38 = 1 x 38 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 38 is 1
Notice that 1 = HCF(38,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 803 > 1, we apply the division lemma to 803 and 1, to get
803 = 1 x 803 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 803 is 1
Notice that 1 = HCF(803,1) .
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 553, 636, 38, 803?
Answer: HCF of 553, 636, 38, 803 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 553, 636, 38, 803 using Euclid's Algorithm?
Answer: For arbitrary numbers 553, 636, 38, 803 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.