Highest Common Factor of 1069, 9412 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 1069, 9412 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1069, 9412 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 1069, 9412 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 1069, 9412 is 1.
HCF(1069, 9412) = 1
HCF of 1069, 9412 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1069, 9412 is 1.
Highest Common Factor of 1069,9412 is 1
Step 1: Since 9412 > 1069, we apply the division lemma to 9412 and 1069, to get
9412 = 1069 x 8 + 860
Step 2: Since the reminder 1069 ≠ 0, we apply division lemma to 860 and 1069, to get
1069 = 860 x 1 + 209
Step 3: We consider the new divisor 860 and the new remainder 209, and apply the division lemma to get
860 = 209 x 4 + 24
We consider the new divisor 209 and the new remainder 24,and apply the division lemma to get
209 = 24 x 8 + 17
We consider the new divisor 24 and the new remainder 17,and apply the division lemma to get
24 = 17 x 1 + 7
We consider the new divisor 17 and the new remainder 7,and apply the division lemma to get
17 = 7 x 2 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1069 and 9412 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(17,7) = HCF(24,17) = HCF(209,24) = HCF(860,209) = HCF(1069,860) = HCF(9412,1069) .
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Frequently Asked Questions on HCF of 1069, 9412 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 1069, 9412?
Answer: HCF of 1069, 9412 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1069, 9412 using Euclid's Algorithm?
Answer: For arbitrary numbers 1069, 9412 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.