Highest Common Factor of 9859, 7825 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 9859, 7825 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9859, 7825 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 9859, 7825 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 9859, 7825 is 1.
HCF(9859, 7825) = 1
HCF of 9859, 7825 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9859, 7825 is 1.
Highest Common Factor of 9859,7825 is 1
Step 1: Since 9859 > 7825, we apply the division lemma to 9859 and 7825, to get
9859 = 7825 x 1 + 2034
Step 2: Since the reminder 7825 ≠ 0, we apply division lemma to 2034 and 7825, to get
7825 = 2034 x 3 + 1723
Step 3: We consider the new divisor 2034 and the new remainder 1723, and apply the division lemma to get
2034 = 1723 x 1 + 311
We consider the new divisor 1723 and the new remainder 311,and apply the division lemma to get
1723 = 311 x 5 + 168
We consider the new divisor 311 and the new remainder 168,and apply the division lemma to get
311 = 168 x 1 + 143
We consider the new divisor 168 and the new remainder 143,and apply the division lemma to get
168 = 143 x 1 + 25
We consider the new divisor 143 and the new remainder 25,and apply the division lemma to get
143 = 25 x 5 + 18
We consider the new divisor 25 and the new remainder 18,and apply the division lemma to get
25 = 18 x 1 + 7
We consider the new divisor 18 and the new remainder 7,and apply the division lemma to get
18 = 7 x 2 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 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 9859 and 7825 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(18,7) = HCF(25,18) = HCF(143,25) = HCF(168,143) = HCF(311,168) = HCF(1723,311) = HCF(2034,1723) = HCF(7825,2034) = HCF(9859,7825) .
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Frequently Asked Questions on HCF of 9859, 7825 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 9859, 7825?
Answer: HCF of 9859, 7825 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9859, 7825 using Euclid's Algorithm?
Answer: For arbitrary numbers 9859, 7825 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.