Highest Common Factor of 9125, 5857 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 9125, 5857 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9125, 5857 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 9125, 5857 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 9125, 5857 is 1.
HCF(9125, 5857) = 1
HCF of 9125, 5857 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9125, 5857 is 1.
Highest Common Factor of 9125,5857 is 1
Step 1: Since 9125 > 5857, we apply the division lemma to 9125 and 5857, to get
9125 = 5857 x 1 + 3268
Step 2: Since the reminder 5857 ≠ 0, we apply division lemma to 3268 and 5857, to get
5857 = 3268 x 1 + 2589
Step 3: We consider the new divisor 3268 and the new remainder 2589, and apply the division lemma to get
3268 = 2589 x 1 + 679
We consider the new divisor 2589 and the new remainder 679,and apply the division lemma to get
2589 = 679 x 3 + 552
We consider the new divisor 679 and the new remainder 552,and apply the division lemma to get
679 = 552 x 1 + 127
We consider the new divisor 552 and the new remainder 127,and apply the division lemma to get
552 = 127 x 4 + 44
We consider the new divisor 127 and the new remainder 44,and apply the division lemma to get
127 = 44 x 2 + 39
We consider the new divisor 44 and the new remainder 39,and apply the division lemma to get
44 = 39 x 1 + 5
We consider the new divisor 39 and the new remainder 5,and apply the division lemma to get
39 = 5 x 7 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 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 9125 and 5857 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(39,5) = HCF(44,39) = HCF(127,44) = HCF(552,127) = HCF(679,552) = HCF(2589,679) = HCF(3268,2589) = HCF(5857,3268) = HCF(9125,5857) .
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Frequently Asked Questions on HCF of 9125, 5857 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 9125, 5857?
Answer: HCF of 9125, 5857 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9125, 5857 using Euclid's Algorithm?
Answer: For arbitrary numbers 9125, 5857 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.