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 849, 611, 200 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 849, 611, 200 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 849, 611, 200 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 849, 611, 200 is 1.
HCF(849, 611, 200) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 849, 611, 200 is 1.
Step 1: Since 849 > 611, we apply the division lemma to 849 and 611, to get
849 = 611 x 1 + 238
Step 2: Since the reminder 611 ≠ 0, we apply division lemma to 238 and 611, to get
611 = 238 x 2 + 135
Step 3: We consider the new divisor 238 and the new remainder 135, and apply the division lemma to get
238 = 135 x 1 + 103
We consider the new divisor 135 and the new remainder 103,and apply the division lemma to get
135 = 103 x 1 + 32
We consider the new divisor 103 and the new remainder 32,and apply the division lemma to get
103 = 32 x 3 + 7
We consider the new divisor 32 and the new remainder 7,and apply the division lemma to get
32 = 7 x 4 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 849 and 611 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(32,7) = HCF(103,32) = HCF(135,103) = HCF(238,135) = HCF(611,238) = HCF(849,611) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 200 > 1, we apply the division lemma to 200 and 1, to get
200 = 1 x 200 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 200 is 1
Notice that 1 = HCF(200,1) .
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 849, 611, 200?
Answer: HCF of 849, 611, 200 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 849, 611, 200 using Euclid's Algorithm?
Answer: For arbitrary numbers 849, 611, 200 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.