Highest Common Factor of 9567, 3053, 37853 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 9567, 3053, 37853 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9567, 3053, 37853 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 9567, 3053, 37853 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 9567, 3053, 37853 is 1.
HCF(9567, 3053, 37853) = 1
HCF of 9567, 3053, 37853 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9567, 3053, 37853 is 1.
Highest Common Factor of 9567,3053,37853 is 1
Step 1: Since 9567 > 3053, we apply the division lemma to 9567 and 3053, to get
9567 = 3053 x 3 + 408
Step 2: Since the reminder 3053 ≠ 0, we apply division lemma to 408 and 3053, to get
3053 = 408 x 7 + 197
Step 3: We consider the new divisor 408 and the new remainder 197, and apply the division lemma to get
408 = 197 x 2 + 14
We consider the new divisor 197 and the new remainder 14,and apply the division lemma to get
197 = 14 x 14 + 1
We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get
14 = 1 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9567 and 3053 is 1
Notice that 1 = HCF(14,1) = HCF(197,14) = HCF(408,197) = HCF(3053,408) = HCF(9567,3053) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 37853 > 1, we apply the division lemma to 37853 and 1, to get
37853 = 1 x 37853 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 37853 is 1
Notice that 1 = HCF(37853,1) .
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Frequently Asked Questions on HCF of 9567, 3053, 37853 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 9567, 3053, 37853?
Answer: HCF of 9567, 3053, 37853 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9567, 3053, 37853 using Euclid's Algorithm?
Answer: For arbitrary numbers 9567, 3053, 37853 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.