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 127, 584, 826 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 127, 584, 826 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 127, 584, 826 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 127, 584, 826 is 1.
HCF(127, 584, 826) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 127, 584, 826 is 1.
Step 1: Since 584 > 127, we apply the division lemma to 584 and 127, to get
584 = 127 x 4 + 76
Step 2: Since the reminder 127 ≠ 0, we apply division lemma to 76 and 127, to get
127 = 76 x 1 + 51
Step 3: We consider the new divisor 76 and the new remainder 51, and apply the division lemma to get
76 = 51 x 1 + 25
We consider the new divisor 51 and the new remainder 25,and apply the division lemma to get
51 = 25 x 2 + 1
We consider the new divisor 25 and the new remainder 1,and apply the division lemma to get
25 = 1 x 25 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 127 and 584 is 1
Notice that 1 = HCF(25,1) = HCF(51,25) = HCF(76,51) = HCF(127,76) = HCF(584,127) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 826 > 1, we apply the division lemma to 826 and 1, to get
826 = 1 x 826 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 826 is 1
Notice that 1 = HCF(826,1) .
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 127, 584, 826?
Answer: HCF of 127, 584, 826 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 127, 584, 826 using Euclid's Algorithm?
Answer: For arbitrary numbers 127, 584, 826 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.