Highest Common Factor of 1053, 9211, 46648 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 1053, 9211, 46648 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1053, 9211, 46648 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 1053, 9211, 46648 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 1053, 9211, 46648 is 1.
HCF(1053, 9211, 46648) = 1
HCF of 1053, 9211, 46648 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1053, 9211, 46648 is 1.
Highest Common Factor of 1053,9211,46648 is 1
Step 1: Since 9211 > 1053, we apply the division lemma to 9211 and 1053, to get
9211 = 1053 x 8 + 787
Step 2: Since the reminder 1053 ≠ 0, we apply division lemma to 787 and 1053, to get
1053 = 787 x 1 + 266
Step 3: We consider the new divisor 787 and the new remainder 266, and apply the division lemma to get
787 = 266 x 2 + 255
We consider the new divisor 266 and the new remainder 255,and apply the division lemma to get
266 = 255 x 1 + 11
We consider the new divisor 255 and the new remainder 11,and apply the division lemma to get
255 = 11 x 23 + 2
We consider the new divisor 11 and the new remainder 2,and apply the division lemma to get
11 = 2 x 5 + 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 1053 and 9211 is 1
Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(255,11) = HCF(266,255) = HCF(787,266) = HCF(1053,787) = HCF(9211,1053) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 46648 > 1, we apply the division lemma to 46648 and 1, to get
46648 = 1 x 46648 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 46648 is 1
Notice that 1 = HCF(46648,1) .
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Frequently Asked Questions on HCF of 1053, 9211, 46648 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 1053, 9211, 46648?
Answer: HCF of 1053, 9211, 46648 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1053, 9211, 46648 using Euclid's Algorithm?
Answer: For arbitrary numbers 1053, 9211, 46648 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
