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 529, 402, 955 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 529, 402, 955 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 529, 402, 955 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 529, 402, 955 is 1.
HCF(529, 402, 955) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 529, 402, 955 is 1.
Step 1: Since 529 > 402, we apply the division lemma to 529 and 402, to get
529 = 402 x 1 + 127
Step 2: Since the reminder 402 ≠ 0, we apply division lemma to 127 and 402, to get
402 = 127 x 3 + 21
Step 3: We consider the new divisor 127 and the new remainder 21, and apply the division lemma to get
127 = 21 x 6 + 1
We consider the new divisor 21 and the new remainder 1, and apply the division lemma to get
21 = 1 x 21 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 529 and 402 is 1
Notice that 1 = HCF(21,1) = HCF(127,21) = HCF(402,127) = HCF(529,402) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 955 > 1, we apply the division lemma to 955 and 1, to get
955 = 1 x 955 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 955 is 1
Notice that 1 = HCF(955,1) .
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 529, 402, 955?
Answer: HCF of 529, 402, 955 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 529, 402, 955 using Euclid's Algorithm?
Answer: For arbitrary numbers 529, 402, 955 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.