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 933, 689, 13, 183 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 933, 689, 13, 183 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 933, 689, 13, 183 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 933, 689, 13, 183 is 1.
HCF(933, 689, 13, 183) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 933, 689, 13, 183 is 1.
Step 1: Since 933 > 689, we apply the division lemma to 933 and 689, to get
933 = 689 x 1 + 244
Step 2: Since the reminder 689 ≠ 0, we apply division lemma to 244 and 689, to get
689 = 244 x 2 + 201
Step 3: We consider the new divisor 244 and the new remainder 201, and apply the division lemma to get
244 = 201 x 1 + 43
We consider the new divisor 201 and the new remainder 43,and apply the division lemma to get
201 = 43 x 4 + 29
We consider the new divisor 43 and the new remainder 29,and apply the division lemma to get
43 = 29 x 1 + 14
We consider the new divisor 29 and the new remainder 14,and apply the division lemma to get
29 = 14 x 2 + 1
We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get
14 = 1 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 933 and 689 is 1
Notice that 1 = HCF(14,1) = HCF(29,14) = HCF(43,29) = HCF(201,43) = HCF(244,201) = HCF(689,244) = HCF(933,689) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 13 > 1, we apply the division lemma to 13 and 1, to get
13 = 1 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 13 is 1
Notice that 1 = HCF(13,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 183 > 1, we apply the division lemma to 183 and 1, to get
183 = 1 x 183 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 183 is 1
Notice that 1 = HCF(183,1) .
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 933, 689, 13, 183?
Answer: HCF of 933, 689, 13, 183 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 933, 689, 13, 183 using Euclid's Algorithm?
Answer: For arbitrary numbers 933, 689, 13, 183 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.