Highest Common Factor of 6013, 9221, 44262 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 6013, 9221, 44262 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6013, 9221, 44262 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 6013, 9221, 44262 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 6013, 9221, 44262 is 1.
HCF(6013, 9221, 44262) = 1
HCF of 6013, 9221, 44262 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6013, 9221, 44262 is 1.
Highest Common Factor of 6013,9221,44262 is 1
Step 1: Since 9221 > 6013, we apply the division lemma to 9221 and 6013, to get
9221 = 6013 x 1 + 3208
Step 2: Since the reminder 6013 ≠ 0, we apply division lemma to 3208 and 6013, to get
6013 = 3208 x 1 + 2805
Step 3: We consider the new divisor 3208 and the new remainder 2805, and apply the division lemma to get
3208 = 2805 x 1 + 403
We consider the new divisor 2805 and the new remainder 403,and apply the division lemma to get
2805 = 403 x 6 + 387
We consider the new divisor 403 and the new remainder 387,and apply the division lemma to get
403 = 387 x 1 + 16
We consider the new divisor 387 and the new remainder 16,and apply the division lemma to get
387 = 16 x 24 + 3
We consider the new divisor 16 and the new remainder 3,and apply the division lemma to get
16 = 3 x 5 + 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 6013 and 9221 is 1
Notice that 1 = HCF(3,1) = HCF(16,3) = HCF(387,16) = HCF(403,387) = HCF(2805,403) = HCF(3208,2805) = HCF(6013,3208) = HCF(9221,6013) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 44262 > 1, we apply the division lemma to 44262 and 1, to get
44262 = 1 x 44262 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 44262 is 1
Notice that 1 = HCF(44262,1) .
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Frequently Asked Questions on HCF of 6013, 9221, 44262 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 6013, 9221, 44262?
Answer: HCF of 6013, 9221, 44262 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6013, 9221, 44262 using Euclid's Algorithm?
Answer: For arbitrary numbers 6013, 9221, 44262 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
