Highest Common Factor of 8507, 9178 using Euclid's algorithm
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 8507, 9178 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8507, 9178 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 8507, 9178 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 8507, 9178 is 1.
HCF(8507, 9178) = 1
HCF of 8507, 9178 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8507, 9178 is 1.
Highest Common Factor of 8507,9178 is 1
Step 1: Since 9178 > 8507, we apply the division lemma to 9178 and 8507, to get
9178 = 8507 x 1 + 671
Step 2: Since the reminder 8507 ≠ 0, we apply division lemma to 671 and 8507, to get
8507 = 671 x 12 + 455
Step 3: We consider the new divisor 671 and the new remainder 455, and apply the division lemma to get
671 = 455 x 1 + 216
We consider the new divisor 455 and the new remainder 216,and apply the division lemma to get
455 = 216 x 2 + 23
We consider the new divisor 216 and the new remainder 23,and apply the division lemma to get
216 = 23 x 9 + 9
We consider the new divisor 23 and the new remainder 9,and apply the division lemma to get
23 = 9 x 2 + 5
We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get
9 = 5 x 1 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8507 and 9178 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(23,9) = HCF(216,23) = HCF(455,216) = HCF(671,455) = HCF(8507,671) = HCF(9178,8507) .
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Frequently Asked Questions on HCF of 8507, 9178 using Euclid's Algorithm
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 8507, 9178?
Answer: HCF of 8507, 9178 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8507, 9178 using Euclid's Algorithm?
Answer: For arbitrary numbers 8507, 9178 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
