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 8767, 9170, 76304 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8767, 9170, 76304 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 8767, 9170, 76304 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 8767, 9170, 76304 is 1.
HCF(8767, 9170, 76304) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8767, 9170, 76304 is 1.
Step 1: Since 9170 > 8767, we apply the division lemma to 9170 and 8767, to get
9170 = 8767 x 1 + 403
Step 2: Since the reminder 8767 ≠ 0, we apply division lemma to 403 and 8767, to get
8767 = 403 x 21 + 304
Step 3: We consider the new divisor 403 and the new remainder 304, and apply the division lemma to get
403 = 304 x 1 + 99
We consider the new divisor 304 and the new remainder 99,and apply the division lemma to get
304 = 99 x 3 + 7
We consider the new divisor 99 and the new remainder 7,and apply the division lemma to get
99 = 7 x 14 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8767 and 9170 is 1
Notice that 1 = HCF(7,1) = HCF(99,7) = HCF(304,99) = HCF(403,304) = HCF(8767,403) = HCF(9170,8767) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 76304 > 1, we apply the division lemma to 76304 and 1, to get
76304 = 1 x 76304 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 76304 is 1
Notice that 1 = HCF(76304,1) .
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 8767, 9170, 76304?
Answer: HCF of 8767, 9170, 76304 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8767, 9170, 76304 using Euclid's Algorithm?
Answer: For arbitrary numbers 8767, 9170, 76304 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.