Highest Common Factor of 9539, 3750 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 9539, 3750 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9539, 3750 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 9539, 3750 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 9539, 3750 is 1.
HCF(9539, 3750) = 1
HCF of 9539, 3750 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9539, 3750 is 1.
Highest Common Factor of 9539,3750 is 1
Step 1: Since 9539 > 3750, we apply the division lemma to 9539 and 3750, to get
9539 = 3750 x 2 + 2039
Step 2: Since the reminder 3750 ≠ 0, we apply division lemma to 2039 and 3750, to get
3750 = 2039 x 1 + 1711
Step 3: We consider the new divisor 2039 and the new remainder 1711, and apply the division lemma to get
2039 = 1711 x 1 + 328
We consider the new divisor 1711 and the new remainder 328,and apply the division lemma to get
1711 = 328 x 5 + 71
We consider the new divisor 328 and the new remainder 71,and apply the division lemma to get
328 = 71 x 4 + 44
We consider the new divisor 71 and the new remainder 44,and apply the division lemma to get
71 = 44 x 1 + 27
We consider the new divisor 44 and the new remainder 27,and apply the division lemma to get
44 = 27 x 1 + 17
We consider the new divisor 27 and the new remainder 17,and apply the division lemma to get
27 = 17 x 1 + 10
We consider the new divisor 17 and the new remainder 10,and apply the division lemma to get
17 = 10 x 1 + 7
We consider the new divisor 10 and the new remainder 7,and apply the division lemma to get
10 = 7 x 1 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 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 9539 and 3750 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(17,10) = HCF(27,17) = HCF(44,27) = HCF(71,44) = HCF(328,71) = HCF(1711,328) = HCF(2039,1711) = HCF(3750,2039) = HCF(9539,3750) .
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Frequently Asked Questions on HCF of 9539, 3750 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 9539, 3750?
Answer: HCF of 9539, 3750 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9539, 3750 using Euclid's Algorithm?
Answer: For arbitrary numbers 9539, 3750 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
