Highest Common Factor of 1345, 9658 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 1345, 9658 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1345, 9658 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 1345, 9658 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 1345, 9658 is 1.
HCF(1345, 9658) = 1
HCF of 1345, 9658 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1345, 9658 is 1.
Highest Common Factor of 1345,9658 is 1
Step 1: Since 9658 > 1345, we apply the division lemma to 9658 and 1345, to get
9658 = 1345 x 7 + 243
Step 2: Since the reminder 1345 ≠ 0, we apply division lemma to 243 and 1345, to get
1345 = 243 x 5 + 130
Step 3: We consider the new divisor 243 and the new remainder 130, and apply the division lemma to get
243 = 130 x 1 + 113
We consider the new divisor 130 and the new remainder 113,and apply the division lemma to get
130 = 113 x 1 + 17
We consider the new divisor 113 and the new remainder 17,and apply the division lemma to get
113 = 17 x 6 + 11
We consider the new divisor 17 and the new remainder 11,and apply the division lemma to get
17 = 11 x 1 + 6
We consider the new divisor 11 and the new remainder 6,and apply the division lemma to get
11 = 6 x 1 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1345 and 9658 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(17,11) = HCF(113,17) = HCF(130,113) = HCF(243,130) = HCF(1345,243) = HCF(9658,1345) .
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Frequently Asked Questions on HCF of 1345, 9658 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 1345, 9658?
Answer: HCF of 1345, 9658 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1345, 9658 using Euclid's Algorithm?
Answer: For arbitrary numbers 1345, 9658 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.