Highest Common Factor of 8489, 9270 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 8489, 9270 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8489, 9270 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 8489, 9270 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 8489, 9270 is 1.
HCF(8489, 9270) = 1
HCF of 8489, 9270 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8489, 9270 is 1.
Highest Common Factor of 8489,9270 is 1
Step 1: Since 9270 > 8489, we apply the division lemma to 9270 and 8489, to get
9270 = 8489 x 1 + 781
Step 2: Since the reminder 8489 ≠ 0, we apply division lemma to 781 and 8489, to get
8489 = 781 x 10 + 679
Step 3: We consider the new divisor 781 and the new remainder 679, and apply the division lemma to get
781 = 679 x 1 + 102
We consider the new divisor 679 and the new remainder 102,and apply the division lemma to get
679 = 102 x 6 + 67
We consider the new divisor 102 and the new remainder 67,and apply the division lemma to get
102 = 67 x 1 + 35
We consider the new divisor 67 and the new remainder 35,and apply the division lemma to get
67 = 35 x 1 + 32
We consider the new divisor 35 and the new remainder 32,and apply the division lemma to get
35 = 32 x 1 + 3
We consider the new divisor 32 and the new remainder 3,and apply the division lemma to get
32 = 3 x 10 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8489 and 9270 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(32,3) = HCF(35,32) = HCF(67,35) = HCF(102,67) = HCF(679,102) = HCF(781,679) = HCF(8489,781) = HCF(9270,8489) .
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Frequently Asked Questions on HCF of 8489, 9270 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 8489, 9270?
Answer: HCF of 8489, 9270 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8489, 9270 using Euclid's Algorithm?
Answer: For arbitrary numbers 8489, 9270 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.