Highest Common Factor of 1569, 9268 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 1569, 9268 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1569, 9268 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 1569, 9268 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 1569, 9268 is 1.
HCF(1569, 9268) = 1
HCF of 1569, 9268 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1569, 9268 is 1.
Highest Common Factor of 1569,9268 is 1
Step 1: Since 9268 > 1569, we apply the division lemma to 9268 and 1569, to get
9268 = 1569 x 5 + 1423
Step 2: Since the reminder 1569 ≠ 0, we apply division lemma to 1423 and 1569, to get
1569 = 1423 x 1 + 146
Step 3: We consider the new divisor 1423 and the new remainder 146, and apply the division lemma to get
1423 = 146 x 9 + 109
We consider the new divisor 146 and the new remainder 109,and apply the division lemma to get
146 = 109 x 1 + 37
We consider the new divisor 109 and the new remainder 37,and apply the division lemma to get
109 = 37 x 2 + 35
We consider the new divisor 37 and the new remainder 35,and apply the division lemma to get
37 = 35 x 1 + 2
We consider the new divisor 35 and the new remainder 2,and apply the division lemma to get
35 = 2 x 17 + 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 1569 and 9268 is 1
Notice that 1 = HCF(2,1) = HCF(35,2) = HCF(37,35) = HCF(109,37) = HCF(146,109) = HCF(1423,146) = HCF(1569,1423) = HCF(9268,1569) .
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Frequently Asked Questions on HCF of 1569, 9268 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 1569, 9268?
Answer: HCF of 1569, 9268 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1569, 9268 using Euclid's Algorithm?
Answer: For arbitrary numbers 1569, 9268 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
