Highest Common Factor of 2349, 9070 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 2349, 9070 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2349, 9070 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 2349, 9070 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 2349, 9070 is 1.
HCF(2349, 9070) = 1
HCF of 2349, 9070 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2349, 9070 is 1.
Highest Common Factor of 2349,9070 is 1
Step 1: Since 9070 > 2349, we apply the division lemma to 9070 and 2349, to get
9070 = 2349 x 3 + 2023
Step 2: Since the reminder 2349 ≠ 0, we apply division lemma to 2023 and 2349, to get
2349 = 2023 x 1 + 326
Step 3: We consider the new divisor 2023 and the new remainder 326, and apply the division lemma to get
2023 = 326 x 6 + 67
We consider the new divisor 326 and the new remainder 67,and apply the division lemma to get
326 = 67 x 4 + 58
We consider the new divisor 67 and the new remainder 58,and apply the division lemma to get
67 = 58 x 1 + 9
We consider the new divisor 58 and the new remainder 9,and apply the division lemma to get
58 = 9 x 6 + 4
We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get
9 = 4 x 2 + 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 2349 and 9070 is 1
Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(58,9) = HCF(67,58) = HCF(326,67) = HCF(2023,326) = HCF(2349,2023) = HCF(9070,2349) .
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Frequently Asked Questions on HCF of 2349, 9070 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 2349, 9070?
Answer: HCF of 2349, 9070 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2349, 9070 using Euclid's Algorithm?
Answer: For arbitrary numbers 2349, 9070 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.