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 767, 93415 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 767, 93415 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 767, 93415 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 767, 93415 is 1.
HCF(767, 93415) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 767, 93415 is 1.
Step 1: Since 93415 > 767, we apply the division lemma to 93415 and 767, to get
93415 = 767 x 121 + 608
Step 2: Since the reminder 767 ≠ 0, we apply division lemma to 608 and 767, to get
767 = 608 x 1 + 159
Step 3: We consider the new divisor 608 and the new remainder 159, and apply the division lemma to get
608 = 159 x 3 + 131
We consider the new divisor 159 and the new remainder 131,and apply the division lemma to get
159 = 131 x 1 + 28
We consider the new divisor 131 and the new remainder 28,and apply the division lemma to get
131 = 28 x 4 + 19
We consider the new divisor 28 and the new remainder 19,and apply the division lemma to get
28 = 19 x 1 + 9
We consider the new divisor 19 and the new remainder 9,and apply the division lemma to get
19 = 9 x 2 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 767 and 93415 is 1
Notice that 1 = HCF(9,1) = HCF(19,9) = HCF(28,19) = HCF(131,28) = HCF(159,131) = HCF(608,159) = HCF(767,608) = HCF(93415,767) .
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 767, 93415?
Answer: HCF of 767, 93415 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 767, 93415 using Euclid's Algorithm?
Answer: For arbitrary numbers 767, 93415 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.