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 611, 823, 940, 110 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 611, 823, 940, 110 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 611, 823, 940, 110 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 611, 823, 940, 110 is 1.
HCF(611, 823, 940, 110) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 611, 823, 940, 110 is 1.
Step 1: Since 823 > 611, we apply the division lemma to 823 and 611, to get
823 = 611 x 1 + 212
Step 2: Since the reminder 611 ≠ 0, we apply division lemma to 212 and 611, to get
611 = 212 x 2 + 187
Step 3: We consider the new divisor 212 and the new remainder 187, and apply the division lemma to get
212 = 187 x 1 + 25
We consider the new divisor 187 and the new remainder 25,and apply the division lemma to get
187 = 25 x 7 + 12
We consider the new divisor 25 and the new remainder 12,and apply the division lemma to get
25 = 12 x 2 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 611 and 823 is 1
Notice that 1 = HCF(12,1) = HCF(25,12) = HCF(187,25) = HCF(212,187) = HCF(611,212) = HCF(823,611) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 940 > 1, we apply the division lemma to 940 and 1, to get
940 = 1 x 940 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 940 is 1
Notice that 1 = HCF(940,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 110 > 1, we apply the division lemma to 110 and 1, to get
110 = 1 x 110 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 110 is 1
Notice that 1 = HCF(110,1) .
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 611, 823, 940, 110?
Answer: HCF of 611, 823, 940, 110 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 611, 823, 940, 110 using Euclid's Algorithm?
Answer: For arbitrary numbers 611, 823, 940, 110 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.