Highest Common Factor of 6028, 2273 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 6028, 2273 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6028, 2273 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 6028, 2273 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 6028, 2273 is 1.
HCF(6028, 2273) = 1
HCF of 6028, 2273 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6028, 2273 is 1.
Highest Common Factor of 6028,2273 is 1
Step 1: Since 6028 > 2273, we apply the division lemma to 6028 and 2273, to get
6028 = 2273 x 2 + 1482
Step 2: Since the reminder 2273 ≠ 0, we apply division lemma to 1482 and 2273, to get
2273 = 1482 x 1 + 791
Step 3: We consider the new divisor 1482 and the new remainder 791, and apply the division lemma to get
1482 = 791 x 1 + 691
We consider the new divisor 791 and the new remainder 691,and apply the division lemma to get
791 = 691 x 1 + 100
We consider the new divisor 691 and the new remainder 100,and apply the division lemma to get
691 = 100 x 6 + 91
We consider the new divisor 100 and the new remainder 91,and apply the division lemma to get
100 = 91 x 1 + 9
We consider the new divisor 91 and the new remainder 9,and apply the division lemma to get
91 = 9 x 10 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6028 and 2273 is 1
Notice that 1 = HCF(9,1) = HCF(91,9) = HCF(100,91) = HCF(691,100) = HCF(791,691) = HCF(1482,791) = HCF(2273,1482) = HCF(6028,2273) .
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Frequently Asked Questions on HCF of 6028, 2273 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 6028, 2273?
Answer: HCF of 6028, 2273 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6028, 2273 using Euclid's Algorithm?
Answer: For arbitrary numbers 6028, 2273 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.