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 765, 629 i.e. 17 the largest integer that leaves a remainder zero for all numbers.
HCF of 765, 629 is 17 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 765, 629 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 765, 629 is 17.
HCF(765, 629) = 17
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 765, 629 is 17.
Step 1: Since 765 > 629, we apply the division lemma to 765 and 629, to get
765 = 629 x 1 + 136
Step 2: Since the reminder 629 ≠ 0, we apply division lemma to 136 and 629, to get
629 = 136 x 4 + 85
Step 3: We consider the new divisor 136 and the new remainder 85, and apply the division lemma to get
136 = 85 x 1 + 51
We consider the new divisor 85 and the new remainder 51,and apply the division lemma to get
85 = 51 x 1 + 34
We consider the new divisor 51 and the new remainder 34,and apply the division lemma to get
51 = 34 x 1 + 17
We consider the new divisor 34 and the new remainder 17,and apply the division lemma to get
34 = 17 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 17, the HCF of 765 and 629 is 17
Notice that 17 = HCF(34,17) = HCF(51,34) = HCF(85,51) = HCF(136,85) = HCF(629,136) = HCF(765,629) .
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 765, 629?
Answer: HCF of 765, 629 is 17 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 765, 629 using Euclid's Algorithm?
Answer: For arbitrary numbers 765, 629 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.