Highest Common Factor of 3056, 6369 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 3056, 6369 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3056, 6369 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 3056, 6369 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 3056, 6369 is 1.
HCF(3056, 6369) = 1
HCF of 3056, 6369 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3056, 6369 is 1.
Highest Common Factor of 3056,6369 is 1
Step 1: Since 6369 > 3056, we apply the division lemma to 6369 and 3056, to get
6369 = 3056 x 2 + 257
Step 2: Since the reminder 3056 ≠ 0, we apply division lemma to 257 and 3056, to get
3056 = 257 x 11 + 229
Step 3: We consider the new divisor 257 and the new remainder 229, and apply the division lemma to get
257 = 229 x 1 + 28
We consider the new divisor 229 and the new remainder 28,and apply the division lemma to get
229 = 28 x 8 + 5
We consider the new divisor 28 and the new remainder 5,and apply the division lemma to get
28 = 5 x 5 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 3056 and 6369 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(28,5) = HCF(229,28) = HCF(257,229) = HCF(3056,257) = HCF(6369,3056) .
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Frequently Asked Questions on HCF of 3056, 6369 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 3056, 6369?
Answer: HCF of 3056, 6369 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3056, 6369 using Euclid's Algorithm?
Answer: For arbitrary numbers 3056, 6369 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
