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 629, 407, 852 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 629, 407, 852 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 629, 407, 852 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 629, 407, 852 is 1.
HCF(629, 407, 852) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 629, 407, 852 is 1.
Step 1: Since 629 > 407, we apply the division lemma to 629 and 407, to get
629 = 407 x 1 + 222
Step 2: Since the reminder 407 ≠ 0, we apply division lemma to 222 and 407, to get
407 = 222 x 1 + 185
Step 3: We consider the new divisor 222 and the new remainder 185, and apply the division lemma to get
222 = 185 x 1 + 37
We consider the new divisor 185 and the new remainder 37, and apply the division lemma to get
185 = 37 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 37, the HCF of 629 and 407 is 37
Notice that 37 = HCF(185,37) = HCF(222,185) = HCF(407,222) = HCF(629,407) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 852 > 37, we apply the division lemma to 852 and 37, to get
852 = 37 x 23 + 1
Step 2: Since the reminder 37 ≠ 0, we apply division lemma to 1 and 37, to get
37 = 1 x 37 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 37 and 852 is 1
Notice that 1 = HCF(37,1) = HCF(852,37) .
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 629, 407, 852?
Answer: HCF of 629, 407, 852 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 629, 407, 852 using Euclid's Algorithm?
Answer: For arbitrary numbers 629, 407, 852 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.