Highest Common Factor of 7439, 9146 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 7439, 9146 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7439, 9146 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 7439, 9146 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 7439, 9146 is 1.
HCF(7439, 9146) = 1
HCF of 7439, 9146 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7439, 9146 is 1.
Highest Common Factor of 7439,9146 is 1
Step 1: Since 9146 > 7439, we apply the division lemma to 9146 and 7439, to get
9146 = 7439 x 1 + 1707
Step 2: Since the reminder 7439 ≠ 0, we apply division lemma to 1707 and 7439, to get
7439 = 1707 x 4 + 611
Step 3: We consider the new divisor 1707 and the new remainder 611, and apply the division lemma to get
1707 = 611 x 2 + 485
We consider the new divisor 611 and the new remainder 485,and apply the division lemma to get
611 = 485 x 1 + 126
We consider the new divisor 485 and the new remainder 126,and apply the division lemma to get
485 = 126 x 3 + 107
We consider the new divisor 126 and the new remainder 107,and apply the division lemma to get
126 = 107 x 1 + 19
We consider the new divisor 107 and the new remainder 19,and apply the division lemma to get
107 = 19 x 5 + 12
We consider the new divisor 19 and the new remainder 12,and apply the division lemma to get
19 = 12 x 1 + 7
We consider the new divisor 12 and the new remainder 7,and apply the division lemma to get
12 = 7 x 1 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 7439 and 9146 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(12,7) = HCF(19,12) = HCF(107,19) = HCF(126,107) = HCF(485,126) = HCF(611,485) = HCF(1707,611) = HCF(7439,1707) = HCF(9146,7439) .
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Frequently Asked Questions on HCF of 7439, 9146 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 7439, 9146?
Answer: HCF of 7439, 9146 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7439, 9146 using Euclid's Algorithm?
Answer: For arbitrary numbers 7439, 9146 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
