Highest Common Factor of 6056, 5666 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 6056, 5666 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6056, 5666 is 2 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 6056, 5666 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 6056, 5666 is 2.
HCF(6056, 5666) = 2
HCF of 6056, 5666 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6056, 5666 is 2.
Highest Common Factor of 6056,5666 is 2
Step 1: Since 6056 > 5666, we apply the division lemma to 6056 and 5666, to get
6056 = 5666 x 1 + 390
Step 2: Since the reminder 5666 ≠ 0, we apply division lemma to 390 and 5666, to get
5666 = 390 x 14 + 206
Step 3: We consider the new divisor 390 and the new remainder 206, and apply the division lemma to get
390 = 206 x 1 + 184
We consider the new divisor 206 and the new remainder 184,and apply the division lemma to get
206 = 184 x 1 + 22
We consider the new divisor 184 and the new remainder 22,and apply the division lemma to get
184 = 22 x 8 + 8
We consider the new divisor 22 and the new remainder 8,and apply the division lemma to get
22 = 8 x 2 + 6
We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get
8 = 6 x 1 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6056 and 5666 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(22,8) = HCF(184,22) = HCF(206,184) = HCF(390,206) = HCF(5666,390) = HCF(6056,5666) .
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Frequently Asked Questions on HCF of 6056, 5666 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 6056, 5666?
Answer: HCF of 6056, 5666 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6056, 5666 using Euclid's Algorithm?
Answer: For arbitrary numbers 6056, 5666 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.