Highest Common Factor of 6368, 5778 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 6368, 5778 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6368, 5778 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 6368, 5778 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 6368, 5778 is 2.
HCF(6368, 5778) = 2
HCF of 6368, 5778 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6368, 5778 is 2.
Highest Common Factor of 6368,5778 is 2
Step 1: Since 6368 > 5778, we apply the division lemma to 6368 and 5778, to get
6368 = 5778 x 1 + 590
Step 2: Since the reminder 5778 ≠ 0, we apply division lemma to 590 and 5778, to get
5778 = 590 x 9 + 468
Step 3: We consider the new divisor 590 and the new remainder 468, and apply the division lemma to get
590 = 468 x 1 + 122
We consider the new divisor 468 and the new remainder 122,and apply the division lemma to get
468 = 122 x 3 + 102
We consider the new divisor 122 and the new remainder 102,and apply the division lemma to get
122 = 102 x 1 + 20
We consider the new divisor 102 and the new remainder 20,and apply the division lemma to get
102 = 20 x 5 + 2
We consider the new divisor 20 and the new remainder 2,and apply the division lemma to get
20 = 2 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6368 and 5778 is 2
Notice that 2 = HCF(20,2) = HCF(102,20) = HCF(122,102) = HCF(468,122) = HCF(590,468) = HCF(5778,590) = HCF(6368,5778) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 6368, 5778 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 6368, 5778?
Answer: HCF of 6368, 5778 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6368, 5778 using Euclid's Algorithm?
Answer: For arbitrary numbers 6368, 5778 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.